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Cluster Models
P. Descouvemont
Physique Nuclaire Thorique et Physique Mathmatique, CP229,Universit Libre de Bruxelles, B1050 Bruxelles - BelgiumEvidences for clusteringCluster models: non-microscopic (nucleus-nucleus interaction) microscopic (NN interaction) continuum statesApplication 1 : 5H and 5He (microscopic 3 body)Application 2 : triple a process (non-microscopic)Application 3: 18F(p,a)15O (reaction, microscopic 2 body)Conclusions
IntroductionClustering: well known effect in light nuclei
Nucleons are grouped in clustersBest candidate: a particle (high binding energy, almost elementary particle) Ikeda diagram: cluster states near a threshold (8Be, 20Ne, etc
Halo nuclei: special case of cluster states
Beyond the nucleon level: hypernuclei quarks etc.
1. Evidence for clusteringLarge distance between the clusters wave function important at large distances Example :a+16O
Comparison of radii:a~1.4 fm, 16O~2.7 fmFor 20Ne 0+: 1/2=3.9 fmFor 20Ne 1-: 1/2=5.6 fm 20Nea+16O0+4+1-2+3-clusterNon-cluster
Graph1
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0+
1-
r (fm)
wave function
a+16O wave function
Feuil1
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4.66.35E-014.65.34E-01
4.76.04E-014.75.58E-01
4.85.71E-014.85.75E-01
4.95.35E-014.95.85E-01
54.99E-0155.89E-01
5.14.63E-015.15.88E-01
5.24.27E-015.25.83E-01
5.33.93E-015.35.74E-01
5.43.60E-015.45.63E-01
5.53.29E-015.55.49E-01
5.63.00E-015.65.34E-01
5.72.72E-015.75.17E-01
5.82.47E-015.85.00E-01
5.92.24E-015.94.82E-01
62.03E-0164.64E-01
6.11.83E-016.14.46E-01
6.21.65E-016.24.28E-01
6.31.49E-016.34.10E-01
6.41.34E-016.43.93E-01
6.51.21E-016.53.77E-01
6.61.09E-016.63.61E-01
6.79.79E-026.73.45E-01
6.88.80E-026.83.30E-01
6.97.92E-026.93.16E-01
77.12E-0273.03E-01
7.16.40E-027.12.90E-01
7.25.76E-027.22.78E-01
7.35.18E-027.32.66E-01
7.44.65E-027.42.55E-01
7.54.18E-027.52.45E-01
7.63.76E-027.62.35E-01
7.73.39E-027.72.25E-01
7.83.04E-027.82.16E-01
7.92.74E-027.92.08E-01
82.46E-0282.00E-01
8.12.22E-028.11.92E-01
8.22.00E-028.21.85E-01
8.31.80E-028.31.78E-01
8.41.62E-028.41.72E-01
8.51.46E-028.51.66E-01
8.61.31E-028.61.60E-01
8.71.18E-028.71.55E-01
8.81.07E-028.81.49E-01
8.99.60E-038.91.45E-01
98.66E-0391.40E-01
9.17.80E-039.11.35E-01
9.27.04E-039.21.31E-01
9.36.35E-039.31.27E-01
9.45.72E-039.41.23E-01
9.55.16E-039.51.20E-01
9.64.66E-039.61.16E-01
9.74.21E-039.71.13E-01
9.83.80E-039.81.10E-01
9.93.43E-039.91.07E-01
103.10E-03101.04E-01
10.12.80E-03
10.22.52E-03
10.32.28E-03
10.42.06E-03
10.51.86E-03
10.61.68E-03
10.71.52E-03
10.81.38E-03
10.91.24E-03
111.12E-03
11.11.02E-03
11.29.20E-04
11.38.32E-04
11.47.53E-04
11.56.81E-04
11.66.16E-04
Feuil2
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0+
1-
r (fm)
wave function
a+16O wave function
Feuil3
Feuil4
Feuil5
Evidence for clusteringLarge reduced width
Defines the reduced width g2 (Pl=penetration factor)gW2=Wigner limit=32/2ma27Li: a cluster states and neutron cluster statesq2(a)=0.52 q2(n)=0q2(a)=0.01 q2(n)=0.26
Evidence for clusteringExotic cluster structure: 6He+6He in 12Be M. Freer et al, Phys. Rev. Lett. 82 (1999) 1383 Particular cluster structure: halo nuclei: 11Be=10Be+n 6He=a+n+n neutron=simplest clusterRotational band: E(J)=E0+2J(J+1)/2mR2With R=distance estimateCalculation: P.D., D. Baye, Phys. Lett. B505 (2001) 71 Mixing of 6He+6He and a+8He
Cluster models vs ab initio modelscluster models: assume a cluster structure effective nucleon-nucleon interaction direct access to continuum states microscopic (full antisymmetrization, depend on all nucleons) non microscopic (nucleus-nucleus interaction) semi-microscopic (approximate treatment of antisymmetrization) ab initio models: more general try to determine a cluster structure realistic nucleon-nucleon interaction Antisymmetrized Molecular Dynamics (AMD) Fermionic Molecular Dynamics (FMD) No Core Shell Model (NCSM) Greens Function Monte Carlo Etc
2. Cluster ModelsSeveral variants Non microscopic 2 clusters nucleus-nucleus interaction 3 clusters
Microscopic: 2 clusters nucleon-nucleon interaction 3 clustersyx
Cluster Models2-cluster models General description Microscopic approach: The generator coordinate method (GCM) Continuum states: the R-matrix method
3-cluster models Hyperspherical coordinates General description
2-body modelsMicroscopic (+cluster approx.) RGM, GCM rNon-microscopic: 2 particles without structure = potential modelrex: a+a, p+16O, etc.F1 ,F2=internal wave functionsSolved by the GCMex: 12C+a, 18F+p, etc.
The wave functions are expanded on a gaussian basis 1. potential model (non microscopic) Schrdinger equation:Expansion:
r=quantal relative coordinate Rn=generator coordinate (variational calculation)
The Generator Coordinate Method (GCM) for 2 clusters
2. MicroscopicSlater Determinants matrix elements between Slater determinants (projection numerical) can be extended to 3-clustersThe Generator Coordinate Method (GCM) for 2 clusters the basis functions are projected Slater determinants (b1=b2=b) variational calculation needs matrix elementsGCM expansionRGM notationGCM notation
Continuum states Necessary for reactions Exotic nuclei: low Q value continuum important Simple for 2 clusters, difficult for 3 clusters Various methods: Exact: calculation of the phase shift Approximations: Complex scaling, Analytic continuation (ACCC), box, etc. (in general, only resonances) Use of the R-matrix method: the space is divided into 2 regions (radius a)Internal: r a: Nuclear + coulomb interactions : antisymetrization importantExternal: r > a: Coulomb only : antisymetrization negligible
The R-matrix method: phase-shift calculation2 body calculations (spins zero)Internal wave function: combination of Slater determinantsExternal wave function: Coulomb (Ul=collision matrix)Bloch-Schrdinger equation:With L = Bloch operator restore the hermiticity of H over the internal region) ensures
The R-matrix method: phase-shift calculationSolution of the Bloch-Schrdinger equation:R-matrix equations N+1 unknown quatities (Ul, fl(Rn)), N+1 equations I=matrix element over the internal region stability with the channel radius a is a strong test
3-body models: Hyperspherical coordinates y1x1Jacobi coordinates x1, y13 sets (xi, yi), i=1,2,3Hyperspherical coordinates:6 coordinatesHamiltonian:
Kinetic energyWith K2(W) = angular operator (equivalent to L2 in two-body systems)
Eigenfunctions:=hyperspherical harmonics Eigenvalues : K(K+4) With lx, ly = angular momenta associated with x, yK = hypermomentFK(a) = Jacobi polynomial
Spin: with S = total spin
Schrdinger equationYJMp is expanded over the hyperspherical harmonicsTo be determinedKnown functions hyperspherical harmonics
g=lx,ly,L,S Set of equations for Truncation at K = Kmax Can be extended to 4-body, 5-body, etc
Three-body Models Hamiltonian
y1x1Non microscopicMicroscopicHamiltonian:
Vij=nucleus-nucleus interaction Problems with forbidden statesEx: 6He=a+n+n 12C=a+a+a 14Be=12Be+n+nVij=nucleon-nucleon interactionEx: 6He=a+n+n 5H=t+n+nProjection: 7-dim integrals
3. Application to 5H and 5HeA. Adahchour and P.D., Nucl. Phys. A 813 (2008) 2523.1Introduction 5H unbound, with N/Z=4: very large value Expected 3-body structure: 3H+n+n Many works:experiment theory Difficult for theory and experiment (unbound AND 3-body structure) still large uncertainties on ground state (Energy, width) level scheme? Isospin symmetry expected 5He(T=3/2) analog states (suggested by Ter-Akopian et al., EPJ A25 (2005) 315)
Application to 5H and 5He3.2 Conditions of the calculation: microscopic 3-cluster NN interaction: Minnesota H=H0+u*V (u=admixture parameter in the Minnesota interaction: u~1)From 3He+p: u=1.12
Application to 5H and 5He5H=3H+n+nTz=3/2,T=3/2n5He=3He+n+n coupled with 3H+n+pTz=1/2, T=1/2,3/2Cluster structure:Main difficulty: unbound states need for specific methods: ACCCxy
Application to 5H and 5He3.3 Analytic Continuation in the Coupling Constant (ACCC) [V.I. Kukulin et al., J. Phys. A 10 (1977) 33]Write H as H=H0+lV (l=1 is the physical value, E(l=1)>0 unbound state)Determine l0 such as E(l0)=0For l > l0 : E(l) l0 : x real, k imaginary, E real l0 determine ci,dj Use l=1 k complex Main problem: stability!Pad approximant
Application to 5H and 5He(T=3/2)3H+n+p3He+n+nT=3/2 state?? 3-body decay: a+n and t+d forb.5H,5He5H5HeT=1/2 states: a+n structure3H+n+n4He+n
Application to 5H and 5He(T=3/2)5Hci(r) expanded in gaussians centred at R = Generator Coordinate MethodEnergy curves E(R): eigenvalue for a fixed R valueConvergence with KmaxDifferent J valuesMicroscopic wave function: 1/2+ expected to be g.s. fast convergence
Graph1
11.064613.523711.026827.878
6.419558.64367.335220.0437
2.408394.527054.064411.3488
1.163833.045272.910635.69138
1.463272.900872.854953.07553
1.524932.691392.672822.07677
1.313362.358082.350241.66594
1.107112.044982.041491.43146
1/2-
5/2+
3/2+
1/2+
J=1/2+
J=3/2+
J=5/2+
J=1/2-
R (fm)
E(R) (MeV)
5H
CE2
J=1/2+,T=3/2
1.511.7220.924.739.7943.7544.1446.3249.2249.8754.0855.3758.166.0266.768.5670.3370.9771.3573.3576.6977.0980.17
37.0113.9115.9530.8533.2734.1735.6437.7439.3141.7143.5545.0454.1155.756.9658.7559.259.9662.6163.163.5474.5975.8576.7378.0579.1981.7182.7884.9585.195.4295.796.5898.74102.43104.66106.01107.52115.7116.15116.54119.31122.9127.94128.96137.26
4.52.938.388.8820.7921.3623.424.0824.7927.5928.0530.9231.3239.6541.7742.844.2444.645.1346.5447.2747.3957.8260.3360.9261.4362.7564.2465.0366.4466.5178.5278.6478.8280.8183.384.6785.8886.7796.9497.4898.03100.09102.7105.41106.29110.62
61.635.565.7111.6813.8314.8515.4716.7917.8417.921.0521.2127.2628.1930.2831.2931.8632.2932.7933.3833.441.8144.8845.1945.8246.7947.3548.0748.8448.8960.4860.8260.9962.3963.5864.565.4365.7976.4177.7178.1379.4780.7982.3582.9884.88
7.51.894.364.526.529.379.8410.1311.5311.8212.8514.4114.518.4818.7421.421.8322.9123.0223.2723.5123.5529.5132.6432.7733.6334.2434.3534.935.2535.2745.3145.6745.7546.8547.0847.8948.4948.5758.3259.9360.2461.1261.4362.562.963.69
91.923.723.814.26.816.987.247.958.5510.2410.2510.2912.5613.2315.715.7616.7616.917.0317.0817.221.1523.9624.1225.1525.4425.525.7125.8325.8634.1234.2634.335.0835.2235.7336.0936.144.2645.8746.1146.4346.7147.3147.5447.88
10.51.693.143.23.255.15.35.775.976.647.677.698.29.019.7711.7712.1112.7512.8412.8712.8913.0215.6717.9718.3919.3519.3919.4819.519.5419.5926.0926.1426.2526.9627.0127.2427.4427.4633.9935.5235.5935.7236.1236.3536.4736.63
121.472.592.752.783.944.334.794.835.396.016.026.66.847.579.189.599.9510.0610.0710.1810.2612.0413.9314.4815.1715.1915.1915.315.3315.4320.3720.4520.6121.1421.3321.4521.4621.5426.6627.8928.0628.2528.4828.5628.6128.71
T=1/2
1.5-11.795.179.3815.7517.9327.4832.0636.0236.0236.6538.8640.3640.8141.4742.343.3745.347.3549.1850.651.6352.6955.5656.2756.8660.1861.6363.0663.7364.3465.8566.3766.9567.4868.2569.3169.8970.0370.8871.6972.9573.0274.4574.8575.5575.879.43
3-15.171.294.4111.0912.0419.4823.1226.7727.5728.05303132.332.3733.0233.6534.5836.3338.1840.2241.5443.5643.9244.7649.150.0450.651.8552.6854.2454.8655.1255.9656.5657.4458.558.658.9959.9860.460.7561.6662.262.362.5568.9970.2972.172.88
4.5-16.62-1.191.167.627.7411.1113.8217.0218.2418.6819.9821.3221.9922.222.4623.6123.7424.5926.1927.0629.4730.5530.9231.3635.736.7436.8238.2739.4439.8839.9241.4542.1842.4543.6644.1244.5944.8345.0245.8946.0746.3546.5946.8247.253.4754.6256.2156.61
6-16.01-1.220.585.365.555.897.7310.0110.6511.5612.8113.9214.0314.4314.7915.1716.4116.8217.2517.3719.4920.7520.8921.124.1324.9725.1725.9726.8527.4428.5229.7729.9230.2330.7931.4831.7231.8432.1332.4932.7432.8933.3333.5233.9138.6839.8241.0941.17
7.5-14.87-0.491.093.034.314.815.226.26.417.318.729.039.629.799.910.71111.7212.2612.6412.8414.2114.4514.5616.1816.7917.0217.0918.4219.5919.9621.1921.4121.4521.6922.4422.622.932323.0223.1723.2323.723.924.2727.4928.7329.2229.66
9-13.68-0.071.422.223.623.974.074.214.685.166.176.576.947.157.267.797.918.688.879.1510.0810.1710.310.4111.5611.611.7711.9613.0514.3114.4615.3615.6815.8315.8716.4516.616.7516.8316.8516.916.9317.2717.717.8320.1420.8221.6821.74
10.5-12.470.271.521.882.933.063.43.53.694.014.745.135.175.685.795.996.026.666.857.127.527.537.868.198.348.588.789.069.710.6810.8711.611.7612.1512.2612.4712.4812.5312.6212.6712.7912.9413.0813.3613.9215.1915.6116.4216.7
12-11.260.521.521.672.322.592.883.023.043.33.894.064.154.74.734.834.895.335.625.75.775.916.226.366.626.636.777.277.658.38.429.099.119.579.69.749.749.799.849.8610.0410.2810.3610.4511.1211.7512.1712.813.21
3/2+,T=3/2
1.514.1817.8320.5538.0840.242.7444.2244.8146.6448.2150.1951.2152.0952.9654.2854.9755.264.8966.7567.2267.5669.1769.4369.9270.7171.2571.7572.7275.8676.6577.3880.16
39.2412.2913.8129.5331.6732.934.0434.9735.9137.5538.8240.541.0641.5642.443.3343.3653.5954.6255.256.4257.4757.958.1358.8659.2559.9760.8662.0262.7363.2963.5275.5275.8376.4876.8177.9678.4278.979.9181.2282.6983.2584.3784.9294.9495.5195.9897.19
4.55.067.848.1620.1921.6422.3123.0323.9624.4425.3426.1327.6628.7129.1929.9430.6330.7839.340.1440.5542.7743.2943.6244.244.7244.9245.5546.3346.4446.7747.147.3359.6260.3260.4560.726262.5262.5763.364.2965.0165.366.0566.4278.1278.5778.8379.26
63.525.365.5613.2513.3514.3415.1315.9515.9916.9117.5517.718.2919.7620.4220.8921.0326.2927.4828.5130.2830.4830.9531.5432.1232.2332.4832.7832.9733.1133.3633.5743.7944.7444.9845.4845.946.6946.8647.1347.8848.0848.2148.6248.8260.4760.5660.8761.19
7.53.334.34.478.399.129.7110.0810.4111.1811.7311.9512.8513.2413.6613.7414.3614.4317.2918.5920.6721.2921.4521.7222.7422.8422.9623.0523.223.2523.3123.4924.2831.5832.4132.7133.2333.5133.9834.2334.534.934.934.9535.1535.2445.1245.3445.6845.92
93.13.693.85.86.746.987.167.28.38.58.549.629.8810.2310.2510.2610.5211.8212.9715.3315.4815.7815.9116.7116.7716.7916.8316.8616.9416.9917.0718.3623.223.8724.1624.4424.9525.0825.4325.5225.7125.7325.7425.8325.8633.733.9834.2834.45
10.52.743.183.244.365.15.225.35.756.496.586.627.177.57.667.678.28.388.569.4911.4711.8512.1212.1812.6912.7312.7412.7912.812.8512.8812.914.4417.5318.2718.4218.5818.919.319.3619.3819.4719.4919.5219.5719.625.7225.9526.2326.32
122.412.752.783.493.944.014.324.825.265.345.385.665.926.016.016.566.66.727.288.929.359.69.619.939.959.9810.0310.0510.0710.2410.3411.5713.6514.4714.514.614.915.1315.1615.1915.2215.2615.3115.3315.3420.1620.3420.5920.64
T=1/2
1.5-4.180.868.069.9713.1116.2928.3331.4233.843535.6436.0537.1437.6138.9739.4740.2340.9841.2341.8443.1643.844.4445.2346.0746.647.8450.3650.951.5551.8153.4754.6355.3457.2459.2261.2562.1562.9863.1463.363.5864.465.1765.9166.1366.7466.9567.6
3-8.21-2.43.75.499.6911.0820.0524.3525.2626.1926.3527.6428.6328.9130.431.1731.6431.8932.2232.5533.4333.7734.8935.1735.9536.4437.5139.3140.0640.8241.2442.3143.1643.3646.1447.9449.9350.450.751.5751.8352.4352.9353.2354.1554.5654.8555.6855.85
4.5-11.26-3.790.912.427.237.2711.8215.4516.1716.6817.2919.1619.6819.8420.7921.1221.6121.9822.5222.723.2423.7924.0724.1524.6425.8726.226.7127.352929.3929.930.4930.6133.2435.5336.6736.8136.8238.0738.3539.0839.4139.5940.5440.8941.0741.2541.77
6-12.5-2.830.521.695.285.757.748.459.549.8311.0512.0212.5813.3413.6213.7914.2514.6514.7715.1415.3215.7116.5116.5817.0617.1517.2317.5617.8219.4719.8120.0920.7120.8923.0324.3824.5125.0825.1926.1926.3927.2127.3728.1128.3128.7929.1229.5629.9
7.5-12.31-1.251.081.724.284.775.025.816.336.357.157.728.769.069.159.469.599.819.8410.7510.9511.0611.4811.6411.6812.1712.2512.6312.7212.8613.4813.8114.1914.4416.0416.1216.5916.9217.117.9818.0318.8619.5220.0520.1420.3320.4821.0421.16
9-11.44-0.271.411.623.613.733.914.074.644.955.15.856.076.736.846.896.947.067.187.938.028.298.58.658.658.88.889.119.5310.0710.0710.0810.1810.3811.1611.4611.6311.9411.9712.7212.7313.3314.4114.4614.7315.0715.2315.2715.42
10.5-10.40.231.521.572.863.053.113.483.683.883.994.634.664.95.175.455.475.635.756.026.076.426.666.676.736.836.847.17.257.527.717.8588.198.238.518.568.788.999.49.489.8210.7910.8711.0411.5311.5711.6911.92
12-9.350.511.521.542.252.582.73.013.033.163.293.743.773.854.064.444.54.684.734.774.815.185.335.375.395.545.625.695.835.96.146.226.396.446.596.626.636.777.017.277.367.728.428.428.569.069.099.269.42
5/2+
T=3/2
1.511.6715.6640.5941.31
37.9210.9331.6932.1178.4179.1880.0680.481.1881.9382.8284.3784.4695.5596.1
4.54.597.321.322.0462.5362.6563.3863.7564.0764.2665.1165.9866.1178.5378.85
63.385.3713.2314.6446.8346.8647.1247.2147.6147.8848.1648.5248.6560.4260.89
7.53.294.418.359.9933.9634.0734.4834.534.7734.9134.9435.0835.1645.0645.65
93.083.775.796.9724.9425.125.5125.5625.725.7225.7525.7825.8333.6934.24
10.52.733.224.365.118.8919.0419.3619.4519.4919.5119.5219.5219.5725.7226.19
122.412.773.483.9414.8814.8915.1315.2115.2215.2515.2615.2815.3120.1620.56
T=1/2
1.5-5.535.866.6810.32
3-8.692.53.68.05
4.5-11.330.491.736.64
6-12.510.421.535.56
7.5-12.311.051.694.7
9-11.441.411.613.68
10.5-10.41.511.563.09
12-9.351.521.542.7
CE2
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taille
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000
000
5H, 7/7/08
J=1/2+
J=3/2+
J=5/2+
0
0
0
1.5
1.5
1.5
0
0
0
0
0
0
3
3
3
0
0
0
0
0
0
4.5
4.5
4.5
0
0
0
0
0
0
6
6
6
0
0
0
0
0
0
7.5
7.5
7.5
0
0
0
0
0
0
9
9
9
0
0
0
0
0
0
10.5
10.5
10.5
0
0
0
0
0
0
12
12
12
0
0
0
0
0
0
11.0646
13.5237
11.0268
0
0
0
0
0
0
6.41955
8.6436
7.3352
0
0
0
0
0
0
2.40839
4.52705
4.0644
0
0
0
0
0
0
1.16383
3.04527
2.91063
0
0
0
0
0
0
1.46327
2.90087
2.85495
0
0
0
0
0
0
1.52493
2.69139
2.67282
0
0
0
0
0
0
1.31336
2.35808
2.35024
0
0
0
0
0
0
1.10711
2.04498
2.04149
0
0
0
CE
1/2+0010000
2010001
2210110
2211110
2231110
2232110
4010002
4010220
4011220
4210111
4211111
4231111
4232111
4232130
6010003
6010221
6011221
6210112
6211112
6231112
6232112
6232131
8010004
8010222
8011222
8210113
8211113
8231113
8232113
8232132
10010005
10010223
10011223
10210114
10211114
10231114
10232114
10232133
12010006
12010224
12011224
12210115
12211115
12231115
12232115
12232134
3/2+2012020
2012200
2211110
2212110
2230110
2231110
2232110
4011220
4012021
4012201
4012220
4211111
4212111
4212130
4230111
4231111
4232111
4232130
4233130
6011221
6012022
6012202
6012221
6012240
6211112
6212112
6212131
6230112
6231112
6232112
6232131
6233131
8011222
8012023
8012203
8012222
8012241
8211113
8212113
8212132
8230113
8231113
8232113
8232132
8233132
10011223
10012024
10012204
10012223
10012242
10211114
10212114
10212133
10230114
10231114
10232114
10232133
10233133
12011224
12012025
12012205
12012224
12012243
12211115
12212115
12212134
12230115
12231115
12232115
12232134
12233134
5/2+2012020
2012200
2212110
2231110
2232110
4012021
4012201
4012220
4013220
4212111
4212130
4213130
4231111
4232111
4232130
4233130
4234130
6012022
6012202
6012221
6012240
6013221
6013240
6212112
6212131
6213131
6231112
6232112
6232131
6233131
6234131
6234150
8012023
8012203
8012222
8012241
8013222
8013241
8212113
8212132
8213132
8231113
8232113
8232132
8233132
8234132
8234151
10012024
10012204
10012223
10012242
10013223
10013242
10212114
10212133
10213133
10231114
10232114
10232133
10233133
10234133
10234152
12012025
12012205
12012224
12012243
12013224
12013243
12212115
12212134
12213134
12231115
12232115
12232134
12233134
12234134
12234153
1/2+,T=1/2
0010000
0210000
2010001
2010110
2011110
2210001
2210110
2211110
2231110
2232020
2232110
2232200
4010002
4010111
4010220
4011111
4011220
4210002
4210111
4210220
4211111
4211220
4231111
4231220
4232021
4232111
4232130
4232201
4232220
6010003
6010112
6010221
6011112
6011221
6210003
6210112
6210221
6211112
6211221
6231112
6231221
6232022
6232112
6232131
6232202
6232221
6232240
8010004
8010113
8010222
8011113
8011222
8210004
8210113
8210222
8211113
8211222
8231113
8231222
8232023
8232113
8232132
8232203
8232222
8232241
10010005
10010114
10010223
10011114
10011223
10210005
10210114
10210223
10211114
10211223
10231114
10231223
10232024
10232114
10232133
10232204
10232223
10232242
12010006
12010115
12010224
12011115
12011224
12210006
12210115
12210224
12211115
12211224
12231115
12231224
12232025
12232115
12232134
12232205
12232224
12232243
3/2+,T=1/2
0230000
2011110
2012020
2012110
2012200
2211110
2212020
2212110
2212200
2230001
2230110
2231110
2232020
2232110
2232200
4011111
4011220
4012021
4012111
4012130
4012201
4012220
4211111
4211220
4212021
4212111
4212130
4212201
4212220
4230002
4230111
4230220
4231111
4231220
4232021
4232111
4232130
4232201
4232220
4233130
4233220
6011112
6011221
6012022
6012112
6012131
6012202
6012221
6012240
6211112
6211221
6212022
6212112
6212131
6212202
6212221
6212240
6230003
6230112
6230221
6231112
6231221
6232022
6232112
6232131
6232202
6232221
6232240
6233131
6233221
6233240
8011113
8011222
8012023
8012113
8012132
8012203
8012222
8012241
8211113
8211222
8212023
8212113
8212132
8212203
8212222
8212241
8230004
8230113
8230222
8231113
8231222
8232023
8232113
8232132
8232203
8232222
8232241
8233132
8233222
8233241
10011114
10011223
10012024
10012114
10012133
10012204
10012223
10012242
10211114
10211223
10212024
10212114
10212133
10212204
10212223
10212242
10230005
10230114
10230223
10231114
10231223
10232024
10232114
10232133
10232204
10232223
10232242
10233133
10233223
10233242
12011115
12011224
12012025
12012115
12012134
12012205
12012224
12012243
12211115
12211224
12212025
12212115
12212134
12212205
12212224
12212243
12230006
12230115
12230224
12231115
12231224
12232025
12232115
12232134
12232205
12232224
12232243
12233134
12233224
12233243
J=5/2+2012020
2012110
2012200
2212020
2212110
2212200
2231110
2232020
2232110
2232200
4012021
4012111
4012130
4012201
4012220
4013130
4013220
4212021
4212111
4212130
4212201
4212220
4213130
4213220
4231111
4231220
4232021
4232111
4232130
4232201
4232220
4233130
4233220
4234040
4234130
4234220
6012022
6012112
6012131
6012202
6012221
6012240
6013131
6013221
6013240
6212022
6212112
6212131
6212202
6212221
6212240
6213131
6213221
6213240
6231112
6231221
6232022
6232112
6232131
6232202
6232221
6232240
6233131
6233221
6233240
6234041
6234131
6234150
6234221
6234240
8012023
8012113
8012132
8012203
8012222
8012241
8013132
8013222
8013241
8212023
8212113
8212132
8212203
8212222
8212241
8213132
8213222
8213241
8231113
8231222
8232023
8232113
8232132
8232203
8232222
8232241
8233132
8233222
8233241
8234042
8234132
8234151
8234222
8234241
8234260
10012024
10012114
10012133
10012204
10012223
10012242
10013133
10013223
10013242
10212024
10212114
10212133
10212204
10212223
10212242
10213133
10213223
10213242
10231114
10231223
10232024
10232114
10232133
10232204
10232223
10232242
10233133
10233223
10233242
10234043
10234133
10234152
10234223
10234242
10234261
12012025
12012115
12012134
12012205
12012224
12012243
12013134
12013224
12013243
12212025
12212115
12212134
12212205
12212224
12212243
12213134
12213224
12213243
12231115
12231224
12232025
12232115
12232134
12232205
12232224
12232243
12233134
12233224
12233243
12234044
12234134
12234153
12234224
12234243
12234262
energies
K=0K=2,n=1n=0,S12=1,S=1,l=1,L=0n=0,S12=1,S=1,l=1,L=1n=0,S12=1,S=3,l=1,L=1n=0,S12=1,S=3,l=1,L=2
1/2+1.514.5713.4446.6223.3720.1649.8548.0145.6542.3446.1254.7955.5147.7950.7269.8165.9169.3969.7974.5574.7475.6367.8693.288.1189.9791.697.4298.1698.4887.3484.56103.8788.02115.5120.17121.22121.2497.2414.0723.8214.8739.5632.8426.025.7720.51
314.587.6738.1315.1713.3938.3237.2335.3232.5435.1843.1243.4236.8739.1257.6954.357.9957.6462.0462.2361.9656.4179.875.5877.8378.8283.6184.1184.0975.54101.1796.8797.9398.5104.45105.17105.9995.27121.51116.28118.26119.23125.28126.18128.33114.47
4.5143.4729.798.357.9825.5325.4124.1721.7623.1930.4330.3525.0726.4542.5439.8843.7642.6346.4846.6745.6142.0961.9558.9861.761.9165.4965.7465.4259.6481.9779.0680.1179.9884.6885.1384.9478.37101.2697.0799.3199.73104.15104.72105.9596.74
69.442.5321.985.145.315.9516.6417.113.9614.6720.620.4516.5417.429.3327.4831.2129.7232.7632.8931.8429.6144.8343.146.0945.7148.1848.2847.8344.1762.1660.7861.861.0764.5864.8264.0860.6479.3376.4878.8678.8681.7582.0782.677.22
7.55.572.8515.263.974.1310.1811.313.989.429.9513.9913.911.5312.1120.2719.1122.2320.812323.0622.2820.9431.7130.9233.7333.1834.7234.7634.3932.0845.6145.4646.3445.2847.8747.9847.1245.559.8958.2860.6360.3562.1362.2862.4559.52
93.462.8610.533.343.446.918.211.966.927.479.849.818.68.9714.6113.9816.2215.1216.6416.6616.0915.4222.8422.624.9724.5325.3625.3825.1923.6833.5634.1534.7533.6535.635.6534.8634.1544.8544.1446.2845.9346.9847.0547.0945.49
10.52.362.577.492.822.874.986.289.995.476.037.287.276.716.9611.0310.8212.2111.4512.4812.4912.111.8617.0717.0918.9518.719.0819.0919.031825.2926.2326.5225.5227.0327.0626.426.1134.0433.8535.7235.433636.0436.0635.14
121.752.245.552.392.423.785.018.24.515.045.645.645.395.588.668.749.499.029.699.79.449.4613.2413.3814.7914.6914.8114.8214.8314.119.6420.6820.7419.8821.0721.0820.5620.4626.4526.5228.127.9128.228.2228.2427.67
S12=0,S=1,L=2,lx=0,ly=2S12=0,S=1,L=2,lx=2,ly=0S12=1,S=1,L=1,lx=1,ly=1S12=1,S=1,L=2,lx=1,ly=1S12=1,S=3,L=0,lx=1,ly=1S12=1,S=3,L=1,lx=1,ly=1S12=1,S=3,L=2,lx=1,ly=1
3/2+1.514.9215.0919.7552.1842.8117.9248.8741.2443.7544.2250.6851.5149.2650.642.1953.6146.6649.2351.9768.7269.3570.5368.7568.7470.8875.0970.0367.6772.8174.0868.1674.0489.6192.7590.3491.1889.2192.8597.1389.7490.2795.8296.4688.5395.6187.73126.9102.27305.34
39.6211.7513.2740.3735.3212.237.7831.7933.8635.0940.4341.338.0339.2732.1342.3536.2638.1340.9457.5156.8959.2557.5356.9259.6861.8558.1655.8660.9960.9956.661.5977.5679.4278.0878.7476.6980.4683.1677.4777.7582.582.6776.482.3397.75100.7299.0799.06
4.55.6910.977.6927.0127.837.5625.3421.3723.0224.7829.0629.7225.6826.7121.3529.9424.8725.9628.7443.4941.5445.0343.3742.245.3645.843.2841.3146.0845.1642.1946.1161.5561.7161.7262.1460.0763.7864.9161.0261.264.8764.6360.1664.7879.9981.581.0781.04
64.779.844.9416.8620.515.1715.913.7915.2216.8120.3220.3716.717.5613.920.3116.4817.2119.3431.0928.4632.2630.7129.4632.3232.0630.2628.8932.6631.6629.6532.4846.0144.7245.7846.0344.0947.447.645.0645.3147.8847.4644.4447.8461.7361.7562.4962.44
7.54.577.733.9110.7214.194.0910.179.3410.811.7714.4813.9111.5212.159.7413.8511.5212.0413.2522.1819.622.9221.6520.722.8422.4121.2220.3822.9722.220.9622.7633.731.7433.233.3531.7534.3934.332.6132.9734.5934.2332.2234.646.345.346.7946.71
93.915.823.327.249.793.426.96.888.258.6810.689.818.578.987.459.798.598.949.4916.214.116.6815.7815.1416.5716.1415.5214.9216.6216.0615.4216.4224.9522.9824.3824.4723.3225.2125.1623.9724.4225.325.1223.7525.3634.7433.3235.0735
10.53.194.432.815.26.992.874.985.456.546.698.157.276.696.976.047.276.716.957.1212.210.6412.5811.9811.5712.4512.1111.9111.3812.4712.0811.8712.318.9517.2418.4218.4817.7419.0119.0218.1518.6419.0518.9918.0319.1126.5225.1126.7926.73
122.613.482.383.935.192.413.774.55.35.356.415.645.395.595.045.645.395.575.569.498.379.829.429.189.689.449.4999.699.439.469.5614.7913.4114.3514.3913.9814.7714.8314.1714.6514.814.8114.1114.8520.7319.520.9720.93
5/2+S12=0,S=1,L=2,lx=0,ly=2S12=0,S=1,L=2,lx=2,ly=0S12=1,S=1,L=2,lx=1,ly=1S12=1,S=3,L=1,lx=1,ly=1S12=1,S=3,L=2,lx=1,ly=1
1.513.5113.6449.3814.1947.2243.4744.1249.9444.7145.5947.3551.9150.4344.7746.7550.950.6369.3270.4468.4967.1571.8370.1369.971.3973.8569.5971.568.6873.3272.873.4992.7790.2991.0788.891.7390.9190.493.7395.2691.9293.190.5294.9895.7491127.11102.11
38.8810.9138.8410.2236.8833.7135.0639.9635.5836.0337.0540.9840.5735.2536.4740.3639.4856.959.1957.3955.7660.3158.6458.6259.0461.5458.9259.3956.9361.1560.160.9879.4478.0578.6876.479.4778.5378.4480.3382.0979.8180.3277.8581.9181.4578.42100.7399.05
4.55.4410.6726.476.8625.0222.9624.7928.8624.9824.9725.5828.7929.2524.5225.1528.5327.4241.584543.3241.5345.7744.2144.2943.7146.1645.0944.4142.3545.9144.6145.4461.7161.7162.1259.963.1262.0362.2962.6964.6463.463.3261.0264.5663.0461.5481.581.06
64.79.7616.724.9615.8215.216.8220.2616.6516.5117.119.3620.0916.3916.8919.2818.5628.4932.2530.729.1432.731.4131.4630.4332.5532.2831.3629.7232.4131.3331.9244.7245.7846.024447.0546.0246.3745.947.7747.2146.8544.8847.7545.9245.2461.7562.49
7.54.557.7110.694.0210.1510.811.7814.4611.5211.4711.9713.2513.7811.4911.9113.2313.0619.6222.9121.6520.5523.122.2222.1721.2922.822.8322.0820.9822.7322.1622.4231.7333.233.3531.7134.2733.4433.7733.0234.5634.333.9732.4334.5632.9932.6345.346.79
93.95.817.233.396.98.258.6810.678.498.558.99.489.768.588.899.489.6314.1116.6815.7815.0816.6716.1516.0415.5516.4316.5616.0115.4416.4116.316.2622.9724.3824.4723.325.2324.6124.9224.1725.3525.182523.8625.3424.1623.9733.3335.07
10.53.184.435.22.854.976.546.698.156.566.686.937.117.256.76.927.127.3710.6512.5811.9811.5412.4612.1612.0611.9212.312.4512.0611.8712.312.4812.2517.2418.4218.4817.7319.0718.6118.9118.2519.1118.9918.9418.0919.118.2618.1925.1126.79
122.613.483.932.413.775.35.356.415.245.395.575.555.635.395.565.565.828.379.829.429.169.669.479.429.59.559.679.429.469.569.869.5513.414.3514.3913.9814.8414.4914.7814.2214.8514.7714.7914.1514.8414.2614.2619.520.97
energies
000000
000000
000000
000000
000000
000000
000000
000000
K=0
K=2,n=1
n=0,S12=1,S=1,l=1,L=0
n=0,S12=1,S=1,l=1,L=1
n=0,S12=1,S=3,l=1,L=1
n=0,S12=1,S=3,l=1,L=2
Feuil1 (2)
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
S12=0,S=1,L=2,lx=0,ly=2
S12=0,S=1,L=2,lx=2,ly=0
S12=1,S=1,L=1,lx=1,ly=1
S12=1,S=1,L=2,lx=1,ly=1
S12=1,S=3,L=0,lx=1,ly=1
S12=1,S=3,L=1,lx=1,ly=1
S12=1,S=3,L=2,lx=1,ly=1
vb
00000
00000
00000
00000
00000
00000
00000
00000
S12=0,S=1,L=2,lx=0,ly=2
S12=0,S=1,L=2,lx=2,ly=0
S12=1,S=1,L=2,lx=1,ly=1
S12=1,S=3,L=1,lx=1,ly=1
S12=1,S=3,L=2,lx=1,ly=1
juin08
rdia4_H5.OK
Parameter=1.12Energie,largeur=4.28E+001.68E+00
Parameter=1.12Energie,largeur=2.09E+006.63E-01
Parameter=1.12Energie,largeur=2.06E+009.82E-02
Parameter=1.12Energie,largeur=1.65E+00-1.07E+00
Parameter=1.12Energie,largeur=1.67E+00-1.05E+00
Parameter=1.12Energie,largeur=1.67E+00-1.05E+00
Parameter=1.12Energie,largeur=1.67E+00-1.05E+00
Parameter=1.12Energie,largeur=1.51E+00-1.77E+00
Parameter=1.12Energie,largeur=1.50E+00-1.73E+00
rdia_H5.OK2
Parameter=1.12Energie,largeur=4.09E+001.18E+00
Parameter=1.12Energie,largeur=2.21E+005.74E-01
Parameter=1.12Energie,largeur=1.50E+00-6.37E-01
Parameter=1.12Energie,largeur=1.70E+00-4.79E-01
Parameter=1.12Energie,largeur=1.20E+00-6.42E-01
Parameter=1.12Energie,largeur=1.51E+00-6.63E-01
Parameter=1.12Energie,largeur=1.44E+00-6.80E-01
Parameter=1.12Energie,largeur=1.42E+00-6.83E-01
Parameter=1.12Energie,largeur=1.43E+00-6.82E-01
resdia_H5
Parameter=1.12Energie,largeur=4.67E+001.15E+00
Parameter=1.12Energie,largeur=2.11E+003.80E-01
Parameter=1.12Energie,largeur=1.82E+00-2.28E-01
Parameter=1.12Energie,largeur=1.82E+00-2.28E-01
Parameter=1.12Energie,largeur=1.79E+00-2.39E-01
Parameter=1.12Energie,largeur=1.80E+00-2.36E-01
Parameter=1.12Energie,largeur=1.96E+00-2.38E-01
rdia_H5_32.OK
Parameter=1.12Energie,largeur=9.40E+004.08E+00
Parameter=1.12Energie,largeur=4.17E+003.14E+00
Parameter=1.12Energie,largeur=5.54E-01-2.53E+00
Parameter=1.12Energie,largeur=4.15E+00-1.29E+00
Parameter=1.12Energie,largeur=-3.00E-01-3.24E+00
Parameter=1.12Energie,largeur=3.67E+00-1.49E+00
Parameter=1.12Energie,largeur=3.73E+00-1.49E+00
Parameter=1.12Energie,largeur=4.18E+00-1.52E+00
Parameter=1.12Energie,largeur=3.99E+00-1.49E+00
resdia_32.OK
Parameter=1.12Energie,largeur=9.40E+004.08E+00
Parameter=1.12Energie,largeur=4.17E+003.14E+00
Parameter=1.12Energie,largeur=5.54E-01-2.53E+00
Parameter=1.12Energie,largeur=4.15E+00-1.29E+00
Parameter=1.12Energie,largeur=-3.00E-01-3.24E+00
Parameter=1.12Energie,largeur=3.67E+00-1.49E+00
Parameter=1.12Energie,largeur=3.73E+00-1.49E+00
Parameter=1.12Energie,largeur=4.18E+00-1.52E+00
Parameter=1.12Energie,largeur=3.99E+00-1.49E+00
rdia5_He5.OK:Parameter=1.12Energie,largeur=4.85E+001.83E+00
rdia5_He5.OK:Parameter=1.12Energie,largeur=2.78E+001.14E+00
rdia5_He5.OK:Parameter=1.12Energie,largeur=1.99E+00-3.56E-01
rdia5_He5.OK:Parameter=1.12Energie,largeur=1.98E+00-3.71E-01
rdia5_He5.OK:Parameter=1.12Energie,largeur=2.53E+00-5.48E-01
rdia5_He5.OK:Parameter=1.12Energie,largeur=2.53E+00-5.74E-01
rdia5_He5.OK:Parameter=1.12Energie,largeur=2.53E+00-5.47E-01
rdia5_He5.OK:Parameter=1.12Energie,largeur=2.21E+00-2.76E-01
rdia5_He5.OK:Parameter=1.12Energie,largeur=2.25E+00-2.66E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=4.85E+001.83E+00
rdia5_He5.OK2:Parameter=1.12Energie,largeur=2.78E+001.14E+00
rdia5_He5.OK2:Parameter=1.12Energie,largeur=1.99E+00-3.56E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=1.97E+00-3.81E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=2.53E+00-6.07E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=2.40E+00-4.18E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=2.52E+00-5.23E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=2.40E+00-7.88E-01
rdia5_He5.OK2:Parameter=1.12Energie,largeur=2.57E+00-4.15E-01
res_He5.OK:Parameter=1.12Energie,largeur=5.23E+001.46E+00
res_He5.OK:Parameter=1.12Energie,largeur=2.80E+009.11E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.80E+00-5.72E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.95E+00-2.21E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.83E+00-5.38E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.90E+00-5.02E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.89E+00-5.10E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.66E+004.41E-01
res_He5.OK:Parameter=1.12Energie,largeur=1.49E+004.23E-01
res_He5.OK2:Parameter=1.12Energie,largeur=5.16E+001.56E+00
res_He5.OK2:Parameter=1.12Energie,largeur=2.80E+001.04E+00
res_He5.OK2:Parameter=1.12Energie,largeur=1.95E+00-4.25E-01
res_He5.OK2:Parameter=1.12Energie,largeur=1.95E+00-4.27E-01
res_He5.OK2:Parameter=1.12Energie,largeur=2.08E+00-4.19E-01
res_He5.OK2:Parameter=1.12Energie,largeur=1.98E+00-4.17E-01
res_He5.OK2:Parameter=1.12Energie,largeur=2.05E+00-4.07E-01
res_He5.OK2:Parameter=1.12Energie,largeur=2.24E+00-3.49E-01
res_He5.OK2:Parameter=1.12Energie,largeur=2.24E+00-3.52E-01
juin08
000000
000000
000000
000000
000000
000000
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0000
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Trento
0000
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0000
0000
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figs
00000000
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00000000
00000000
00000000
00000000
00000000
Feuil1
amq=1.62619775271.63869775271.65119775271.66369775272.12619775272.15119775272.17619775272.20119775272.22619775272.25119775272.27619775272.30119775272.32619775272.35119775272.37619775272.40119775272.42619775272.45119775272.4761977527
11.12Energie,largeur=4.28E+001.68E+00rdia2
21.12Energie,largeur=2.09E+006.63E-01
31.12Energie,largeur=1.98E+00-1.93E-01
41.12Energie,largeur=1.65E+00-1.09E+00
51.12Energie,largeur=1.78E+00-8.99E-01
61.12Energie,largeur=1.68E+00-1.02E+00
71.12Energie,largeur=1.68E+00-1.02E+00
81.12Energie,largeur=1.51E+00-1.68E+00
91.12Energie,largeur=1.58E+00-1.40E+00
pm1 pdesc]$ grep ' 1.1200'rdia
11.12Energie,largeur=3.83E+002.07E+00rdia2
21.12Energie,largeur=2.00E+001.27E+00
31.12Energie,largeur=1.65E+00-1.15E+00
41.12Energie,largeur=1.74E+00-9.70E-01
51.12Energie,largeur=1.67E+00-1.08E+00
61.12Energie,largeur=1.68E+00-1.07E+00
71.12Energie,largeur=1.53E+00-1.72E+00
81.12Energie,largeur=1.59E+00-1.50E+00
91.12Energie,largeur=1.54E+00-1.63E+00
11.12Energie,largeur=4.28E+001.68E+00rdia4
21.12Energie,largeur=2.09E+006.63E-01
31.12Energie,largeur=2.06E+009.82E-02
41.12Energie,largeur=1.65E+00-1.07E+00
51.12Energie,largeur=1.65E+00-1.07E+00
61.12Energie,largeur=1.66E+00-1.07E+00
71.12Energie,largeur=1.58E+00-1.12E+00
81.12Energie,largeur=1.64E+00-1.09E+00
91.12Energie,largeur=2.53E+00-1.37E+00
1 8
2 1 1 25.00000000000000 12 0 0 20 1
3 1.000000000000000E-08 100.0000000000000 0.000000000000000E+00 -10
4 5 1.625000000000000 1.000000000000000E-02
5 /nobackup/pdesc/H5_He5/H5_hydra
1701 6 0.000000000000000E+00 1.250000000000000E-02
1702 15 7.500000000000000E-02 3.000000000000000E-02
calculs etats liesPad
1.122.121Parameter=1.12Energie,largeur=1.65E+00-1.07E+00
1.221.875Parameter=1.22Energie,largeur=1.71E+00-6.46E-01
1.321.655Parameter=1.32Energie,largeur=1.62E+00-3.21E-01
1.421.368Parameter=1.42Energie,largeur=1.35E+00-1.10E-01
1.520.842Parameter=1.52Energie,largeur=8.49E-01-1.32E-02
1.620.065
Feuil1
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He5
im=11.6261977527-6.64E-080.00E+002.58E-04N=61.121.65158936470.24789364091.6261887898-0-0
im=21.6511977527-0.25695725870.1581138830.506909517201.221.70548213160.1156850721.6311887898-0.0493587288-0.0000001399
im=31.6761977527-0.54009713280.22360679770.73491301040.00000231711.321.5982514410.03341947811.6361887898-0.0997228248-0.0000002808
im=41.7011977527-0.85050822790.27386127880.92223002983.12554050071.421.32036409920.00296226091.6411887898-0.1511035351-0.0000004228
im=51.7261977527-1.18900808830.3162277661.090416474710423.28758716581.520.834259499-0.00036532411.6461887898-0.2035117233-0.0000005657
im=61.7511977527-1.55612651370.35355339061.2474480004-15922.20282363891.620.0597190615-0.00000005671.6511887898-0.2569578571-0.0000007097
im=71.7761977527-1.95211889990.38729833461.397182486329098.8693046571.72-1.1025600271.6561887898-0.3114519966-0.0000008546
im=81.8011977527-2.37698764010.41833001331.5417482415-12130.20132732391.82-2.71558569051.6861887898-0.6609345503-0.0000017428
im=91.8261977527-2.83051074390.44721359551.682412180219344.15397262571.92-4.77900493071.7161887898-1.0501950733-0.0000026546
0.1935266152101.8511977527-3.30330783090.4743416491.81750043493334.35955691341.7461887898-1.4803945972-0.0000035765
im=111.8761977527-3.81307616040.51.952709953-5094.24776363371.7761887898-1.9521153305-0.0000044942
im=121.9011977527-4.34983047770.52440442412.08562472125914.16854810721.8061887898-2.4654057661-0.0000053927
im=131.9261977527-4.91277004980.54772255752.21647694551336.84651243691.8361887898-3.0198497019-0.0000062572
im=141.9511977527-5.50102452390.57008771252.345426299-1049.8619762659
im=151.9761977527-6.11368017760.59160797832.47258572711411.4384704828
im=162.0011977527-6.74979889320.61237243572.598037508-617.6780523062
im=172.0261977527-7.40843438020.6324555322.7218439302355.5733721256
im=182.0511977527-8.08761175740.65192024052.843872669-86.1644617319
im=192.0761977527-8.77667733530.67082039322.9625457524-20.9965118654
im=202.1011977527-9.49776329470.68920243763.081844138614.4596276581
im=212.1261977527-10.23770665530.70710678123.19964164486.7867104557
im=222.1511977527-10.99566021210.72456883733.3159704782-195.5105438232
im=232.1761977527-11.77081171480.74161984873.430861657863.763961792
im=242.2011977527-12.56238495020.75828754443.5443454897
im=252.2261977527-13.36964014410.77459666923.6564518517
im=262.2511977527-14.19181780720.7905694153.7672029156
im=272.2761977527-15.02835895730.80622577483.8766427431
resdia:im=11.6261977459-3.16E-120.00E+001.78E-06
resdia:im=21.6311977459-4.94E-027.07E-020.2221678976
resdia:im=31.6361977459-9.97E-020.10.3157887364
resdia:im=41.6411977459-0.15110310140.12247448710.3887198238
resdia:im=51.6461977459-0.20351116510.14142135620.4511221178
resdia:im=61.6511977459-0.25695718530.1581138830.5069094449
resdia:im=71.6561977459-0.31145122250.17320508080.5580781509
resdia:im=81.6861977459-0.66093656220.24494897430.8129800503
resdia:im=91.7161977459-1.05019717410.31.0247912832
resdia:im=101.7461977459-1.48039717710.34641016151.2167157339
resdia:im=111.7761977459-1.95211878830.38729833461.3971824463
resdia:im=121.8061977459-2.46541048540.42426406871.5701625666
resdia:im=131.8361977459-3.01985603130.45825756951.7377732969
resdia:im=141.8661977459-3.60588829270.48989794861.8989176635
resdia:im=151.8961977459-4.24035775290.51961524232.0592128965
resdia.bak:im=11.6261887898-5.37E-120.00E+002.32E-06
resdia.bak:im=21.6311887898-4.94E-027.07E-020.2221679295
resdia.bak:im=31.6361887898-9.97E-020.10.3157887649
resdia.bak:im=41.6411887898-0.15110311230.12247448710.3887198379
resdia.bak:im=51.6461887898-0.20351115760.14142135620.4511221094
resdia.bak:im=61.6511887898-0.25695714740.1581138830.5069094075
resdia.bak:im=71.6561887898-0.3114511420.17320508080.5580780788
resdia.bak:im=81.6861887898-0.66093280750.24494897430.8129777411
resdia.bak:im=91.7161887898-1.05019241870.31.024788963
resdia.bak:im=101.7461887898-1.48039102070.34641016151.2167132039
resdia.bak:im=111.7761887898-1.95211083630.38729833461.3971796006
resdia.bak:im=121.8061887898-2.46540037350.42426406871.5701593465
resdia.bak:im=131.8361887898-3.01984344470.45825756951.7377696754
resdia.bak:im=141.8661887898-3.61463971610.48989794861.9012205859
resdia.bak:im=1.50E+011.90E+00-4.25E+005.20E-012.0612344029
im=162.1486325379-8.87965970290.58736700622.9798757865
im=172.1786325379-9.89354447720.61237243573.1454005273
im=182.2086325379-10.93471952180.63639610313.3067687433
im=192.2386325379-12.00150888080.65954529793.4643193965
12/6/08
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He5
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Feuil3
K=0K=2
1.514.57513.43746.62223.36820.15749.85348.01445.65442.3446.119
314.5837.66738.12815.16713.39238.31637.22735.32332.54435.184
4.514.0033.46729.7948.3527.98225.53325.41124.17221.76223.185
69.4422.5321.9835.1365.29615.95216.63717.09613.9614.668
7.55.5752.85215.2623.9724.13510.18411.29613.9759.4169.945
93.4572.86110.5313.3423.4376.9088.19811.966.9167.473
10.52.3592.5717.4922.8232.8744.9786.2849.9915.4656.034
121.7522.2385.552.3892.4183.7755.0158.1994.5145.044
Kmax=12Kmax=8Kmax=4Kmax=2
1.51.11E+011.11E+011.11E+011.16E+01
36.42E+006.44E+006.54E+006.86E+00
4.52.41E+002.42E+002.64E+002.84E+00
61.16E+001.19E+001.50E+001.68E+00
7.51.46E+001.55E+001.90E+002.03E+00
91.52E+001.65E+001.94E+002.04E+00
10.51.31E+001.42E+001.60E+001.74E+00
121.11E+001.19E+001.29E+001.43E+00
Kmax=12Kmax=8Kmax=4Kmax=2
1.51.35E+011.35E+011.37E+011.40E+01
38.64E+008.65E+008.87E+009.10E+00
4.54.53E+004.53E+004.78E+004.97E+00
63.05E+003.06E+003.33E+003.51E+00
7.52.90E+002.95E+003.21E+003.34E+00
92.69E+002.76E+002.98E+003.05E+00
10.52.36E+002.43E+002.59E+002.64E+00
122.04E+002.11E+002.22E+002.25E+00
K=2K=2bK=2c
1.514.91615.09419.74952.18142.80617.91948.86641.24343.75344.21
39.62111.74713.26840.36535.31712.20237.77831.7933.86335.09
4.55.6910.9697.69427.01227.8327.56325.34221.36823.01824.78
64.7669.844.94116.85720.5055.1715.90313.78715.21716.81
7.54.577.7293.90510.72314.1924.09210.1729.34110.80211.76
93.915.8223.3157.2449.7943.4196.9046.8818.2558.67
10.53.1884.4342.815.26.9852.8664.9775.4486.5416.69
122.6123.4782.3833.9295.1932.4143.7754.5055.35.34
Kmax=12kmax=8kmax=4kmax=2
1.51.10E+011.10E+011.13E+011.18E+01
37.34E+007.35E+007.70E+008.09E+00
4.54.06E+004.07E+004.42E+004.68E+00
62.91E+002.93E+003.24E+003.43E+00
7.52.85E+002.90E+003.19E+003.32E+00
92.67E+002.74E+002.97E+003.04E+00
10.52.35E+002.42E+002.59E+002.63E+00
122.04E+002.11E+002.22E+002.25E+00
1.513.51213.64249.37814.18947.2243.47444.12349.93544.71545.585
38.87710.91138.83810.21836.8833.71135.06139.96135.58436.028
4.55.44410.66926.476.86425.02522.96224.78628.86324.9824.974
64.7039.7616.7164.96115.82115.19916.82520.25616.65116.508
7.54.5517.70710.6874.01910.15110.79611.77614.46411.51911.468
93.9035.8147.2333.396.8978.2538.68210.6738.4918.55
10.53.1844.435.1962.8524.9746.546.6938.1486.5626.683
122.6113.4773.9272.4073.7745.2995.3476.4095.2435.385
Feuil3
00000000000
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Kmax=12
Kmax=8
Kmax=4
Kmax=2
Feuil4
00000000000
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00000000000
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00000000000
Kmax=12
Kmax=8
Kmax=4
Kmax=2
Feuil5
0000
0000
0000
0000
0000
0000
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J=1/2+
J=3/2+
K=2
K=2b
K=2c
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Kmax=12
Kmax=8
Kmax=4
Kmax=2
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J=5/2+
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Kmax=12
kmax=8
kmax=4
kmax=2
0000
0000
0000
0000
0000
0000
0000
0000
Kmax=12
Kmax=8
Kmax=4
Kmax=2
J=1/2+J=3/2+J=5/2+J=1/2-1/2+,T=3/23/2+,T=3/2
1.51.11E+011.35E+011.10E+012.79E+011.17E+011.20E+011.42E+011.44E+01
36.42E+008.64E+007.34E+002.00E+017.01E+007.26E+009.24E+009.49E+00
4.52.41E+004.53E+004.06E+001.13E+012.93E+003.18E+005.06E+005.31E+00
61.16E+003.05E+002.91E+005.69E+001.63E+001.88E+003.52E+003.77E+00
7.51.46E+002.90E+002.85E+003.08E+001.89E+002.14E+003.33E+003.58E+00
91.52E+002.69E+002.67E+002.08E+001.92E+002.17E+003.10E+003.35E+00
10.51.31E+002.36E+002.35E+001.67E+001.69E+001.94E+002.74E+002.99E+00
121.11E+002.04E+002.04E+001.43E+001.47E+001.72E+002.41E+002.66E+00
13.83E+002.07E+00
22.00E+001.27E+00
31.65E+00-1.15E+00
41.74E+00-9.70E-01
51.67E+00-1.08E+00
61.68E+00-1.07E+00
71.53E+00-1.72E+00
81.59E+00-1.50E+00
91.54E+00-1.63E+00
101.55E+00-1.62E+00
111.54E+00-1.63E+00
im=11.63E+00-6.63E-080.00E+002.57E-04
im=21.65E+00-2.57E-011.58E-015.07E-01
im=31.6761917686-0.54009667310.22360679770.7349126976
im=41.7011917686-0.85050728220.27386127880.9222295171
im=51.7261917686-1.18900649180.3162277661.0904157426
im=61.7511917686-1.55612411780.35355339061.2474470401
im=71.7761917686-1.95211558020.38729833461.3971812982
im=81.8011917686-2.37698330290.41833001331.5417468349
im=91.8261917686-2.83050532930.44721359551.682410571
im=101.8511917686-3.30330544350.4743416491.8174997781
im=111.8761917686-3.81307272710.51.9527090739
im=121.9011917686-4.34982601940.52440442412.0856236524
im=131.9261917686-4.9127646250.54772255752.2164757217
im=141.9511917686-5.50101821180.57008771252.3454249534
im=151.9761917686-6.11367307880.59160797832.4725842915
im=162.0011917686-6.74979112460.61237243572.598036013
im=172.0261917686-7.40842607150.6324555322.7218424039
im=182.0511917686-8.08760286130.65192024052.8438711049
im=192.0761917686-8.77680821490.67082039322.9625678414
im=202.1011917686-9.49789216560.68920243763.0818650466
im=212.1261917686-10.23783350110.70710678123.1996614666
im=222.1511917686-10.9957850450.72456883733.3159893011
im=232.1761917686-11.77093457060.74161984873.4308795622
im=242.2011917686-12.56250588420.75828754443.5443625498
im=252.2261917686-13.36975922660.77459666923.6564681356
im=262.2511917686-14.19193511530.7905694153.7672184852
im=272.2761917686-15.02847458620.80622577483.8766576566
H5, u=1.12 le 17/12/2007
0000
0000
0000
0000
0000
0000
0000
0000
J=1/2+
J=3/2+
J=5/2+
J=1/2-
R (fm)
E (MeV)
5H
00
00
00
00
00
00
00
00
00
00
00
Er
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
u0=1.62
u=1.12
u
E (MeV)
0000
0000
0000
0000
0000
0000
0000
0000
J=1/2+
J=3/2+
J=1/2+
J=3/2+
1/2+,T=3/2
3/2+,T=3/2
R (fm)
E (MeV)
5H, 5He
Parameter=1.1214.67E+002.2982
Parameter=1.1222.11E+000.759
Parameter=1.1231.81E+00-0.4584
Parameter=1.1241.81E+00-0.4584
Parameter=1.1251.79E+00-0.4802
Parameter=1.1261.80E+00-0.474
Parameter=1.1271.96E+00-0.4764
Parameter=1.1281.95E+00-0.472
Parameter=1.1292.00E+00-0.5356
Parameter=1.12101.96E+00-0.487
Parameter=1.12112.20E+00-0.8442
14.5713.4423.3720.1649.85
14.587.6715.1713.3938.32
143.478.357.9825.53
9.442.535.145.315.95
5.572.853.974.1310.18
3.462.863.343.446.91
2.362.572.822.874.98
1.752.242.392.423.78
(a) lx=0, ly=0, L=0, Sbc=0, S=1/2(b) lx=0, ly=0, L=0, Sbc=1, S=1/2(c) lx=1, ly=1, L=1, Sbc=1, S=1/2(d) lx=1, ly=1, L=1, Sbc=1, S=3/2 (e) lx=1, ly=1, L=2, Sbc=1, S=3/2
(a)
(d)
(c)
(e)
(b)
J=1/2+
K=0
K=2,n=1
n=0,S12=1,S=1,l=1,L=1
n=0,S12=1,S=3,l=1,L=1
n=0,S12=1,S=3,l=1,L=2
14.9215.0919.7517.9248.87
9.6211.7513.2712.237.78
5.6910.977.697.5625.34
4.779.844.945.1715.9
4.577.733.914.0910.17
3.915.823.323.426.9
3.194.432.812.874.98
2.613.482.382.413.77
J=3/2+
(a) lx=0, ly=2, L=2, Sbc=0, S=1/2(b) lx=2, ly=0, L=2, Sbc=0, S=1/2 (c) lx=1, ly=1, L=1, Sbc=1, S=1/2 (d) lx=1, ly=1, L=1, Sbc=1, S=3/2 (e) lx=1, ly=1, L=2, Sbc=1, S=3/2
(e)
(d)
(c)
(b)
(a)
S12=0,S=1,L=2,lx=0,ly=2
S12=0,S=1,L=2,lx=2,ly=0
S12=1,S=1,L=1,lx=1,ly=1
S12=1,S=3,L=1,lx=1,ly=1
S12=1,S=3,L=2,lx=1,ly=1
13.5113.6449.3814.19
8.8810.9138.8410.22
5.4410.6726.476.86
4.79.7616.724.96
4.557.7110.694.02
3.95.817.233.39
3.184.435.22.85
2.613.483.932.41
J=5/2+
(a) lx=0, ly=2, L=2, Sbc=1, S=1/2(b) lx=2, ly=0, L=2, Sbc=0, S=1/2(c) lx=1, ly=1, L=2, Sbc=1, S=1/2(d) lx=1, ly=1, L=1, Sbc=1, S=3/2
(d)
(c)
(b)
(a)
S12=0,S=1,L=2,lx=0,ly=2
S12=0,S=1,L=2,lx=2,ly=0
S12=1,S=1,L=2,lx=1,ly=1
S12=1,S=3,L=1,lx=1,ly=1
11.7214.1811.6711.064613.523711.0268-11.79-4.18-5.53
7.019.247.926.419558.64367.3352-15.17-8.21-8.69
2.935.064.592.408394.527054.0644-16.62-11.26-11.33
1.633.523.381.163833.045272.91063-16.01-12.5-12.51
1.893.333.291.463272.900872.85495-14.87-12.31-12.31
1.923.13.081.524932.691392.67282-13.68-11.44-11.44
1.692.742.731.313362.358082.35024-12.47-10.4-10.4
1.472.412.411.107112.044982.04149-11.26-9.35-9.35
E(R) (MeV)
R (fm)
1/2-
5/2+
3/2+
1/2+
J=1/2+
J=3/2+
J=5/2+
J=1/2-
R (fm)
E(R) (MeV)
5H
1.5
1.5
1.5
1.5
3
3
3
3
4.5
4.5
4.5
4.5
6
6
6
6
7.5
7.5
7.5
7.5
9
9
9
9
10.5
10.5
10.5
10.5
12
12
12
12
11.0646
13.5237
11.0268
27.878
6.41955
8.6436
7.3352
20.0437
2.40839
4.52705
4.0644
11.3488
1.16383
3.04527
2.91063
5.69138
1.46327
2.90087
2.85495
3.07553
1.52493
2.69139
2.67282
2.07677
1.31336
2.35808
2.35024
1.66594
1.10711
2.04498
2.04149
1.43146
T=1/2
5He
T=3/2
1/2+
5/2+
3/2+
1/2+
3/2+
5/2+
J=1/2+
J=3/2+
J=5/2+
R (fm)
E(R) (MeV)
11.064611.064611.110711.5842
6.419556.438676.537026.859
2.408392.417442.635032.83803
1.163831.190741.502591.6761
1.463271.545141.897922.02675
1.524931.645041.935952.03986
1.313361.424761.601411.73567
1.107111.189331.286131.4317
2
8
4
12
5H, J=1/2+
Kmax=12
Kmax=8
Kmax=4
Kmax=2
R (fm)
E(R) (MeV)
ER
-G
N
ER, G (MeV)
H5_hydra
0.0211.12Energie,largeur=4.27E+001.91E+00
1.9921.12Energie,largeur=2.18E+008.61E-01
-6.431.12Energie,largeur=2.04E+00-7.27E-01
41.12Energie,largeur=2.04E+00-7.28E-01
51.12Energie,largeur=3.04E+001.63E-01
61.12Energie,largeur=2.05E+00-6.96E-01
71.12Energie,largeur=2.05E+00-6.93E-01
81.12Energie,largeur=1.96E+00-8.48E-01
91.12Energie,largeur=2.27E+00-6.27E-01
0.02511.12Energie,largeur=4.10E+002.04E+00
2.0821.12Energie,largeur=2.14E+001.09E+00
-8.831.12Energie,largeur=2.05E+00-7.95E-01
41.12Energie,largeur=2.18E+00-5.16E-01
51.12Energie,largeur=2.07E+00-7.12E-01
61.12Energie,largeur=2.07E+00-7.11E-01
71.12Energie,largeur=2.00E+00-1.59E+00
81.12Energie,largeur=2.20E+00-8.18E-01
91.12Energie,largeur=1.98E+00-1.35E+00
0.031.12Energie,largeur=3.95E+002.14E+00
2.171.12Energie,largeur=2.12E+001.33E+00
-11.51.12Energie,largeur=2.07E+00-1.02E+00
1.12Energie,largeur=2.07E+00-9.70E-01
1.12Energie,largeur=2.08E+00-9.04E-01
1.12Energie,largeur=2.22E+00-1.94E+00
1.12Energie,largeur=2.22E+00-1.93E+00
1.12Energie,largeur=2.20E+00-1.87E+00
1.12Energie,largeur=2.19E+00-1.80E+00
0.0151.12Energie,largeur=4.45E+001.73E+00
1.91.12Energie,largeur=2.21E+007.02E-01
-4.261.12Energie,largeur=2.21E+004.20E-01
1.12Energie,largeur=2.04E+00-6.02E-01
1.12Energie,largeur=2.27E+00-2.58E-01
1.12Energie,largeur=3.97E+001.33E+00
1.12Energie,largeur=1.88E+001.65E-01
1.12Energie,largeur=3.62E+009.43E-01
1.12Energie,largeur=2.13E+00-3.53E-01
0.0211.12Energie,largeur=4.27E+001.91E+00
21.12Energie,largeur=2.18E+008.61E-01
31.12Energie,largeur=2.04E+00-7.27E-01
41.12Energie,largeur=2.04E+00-7.28E-01
51.12Energie,largeur=3.04E+001.63E-01
61.12Energie,largeur=2.05E+00-6.96E-01
71.12Energie,largeur=2.05E+00-6.93E-01
81.12Energie,largeur=1.96E+00-8.48E-01
91.12Energie,largeur=2.27E+00-6.27E-01
101.12Energie,largeur=2.27E+00-6.27E-01
111.12Energie,largeur=2.28E+00-6.23E-01
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
00
00
1.51.534.567.5910.512
Energies 1 :-3.31-5.999-7.916-8.41-7.47-5.772-3.882-2.121/2+
Energies 2 :-3.31-5.998-7.915-8.409-7.468-5.77-3.88-2.116
Energies 3 :19.09913.4698.5636.9127.0687.0016.6616.337
Energies 1 :-9.185-10.247-9.214-6.837-4.204-1.770.1641.5841/2-
Energies 2 :-9.184-10.247-9.213-6.836-4.202-1.7660.1691.593
Energies 3 :36.9127.74318.28912.2899.5258.2177.4426.922
Energies 1 :9.9014-1.007-3.131-2.962-1.695-0.2131.0923/2+
Energies 2 :9.9014-1.007-3.13-2.96-1.692-0.2091.098
Energies 3 :21.48715.72310.7248.7748.4078.037.5687.159
Energies 1 :-13.483-12.289-9.728-6.925-4.228-1.780.1581.5813/2-
Energies 2 :-13.482-12.288-9.727-6.923-4.226-1.7770.1641.59
Energies 3 :36.27627.48818.21912.2669.5178.2147.4416.922
1.51.534.567.5910.512
Energies 1 :-4.004-6.403-8.068-8.442-7.478-5.777-3.887-2.1241/2+
Energies 2 :-4.003-6.402-8.068-8.441-7.477-5.776-3.884-2.12
Energies 3 :16.74711.9747.8896.676.9816.9676.6446.326
Energies 1 :-10.43-10.981-9.474-6.897-4.222-1.7780.1591.5821/2-
Energies 2 :-10.429-10.98-9.473-6.896-4.219-1.7740.1651.591
Energies 3 :34.61126.25717.60412.0359.4238.1677.4146.904
Energies 1 :8.0363.262-1.244-3.179-2.973-1.699-0.2151.0913/2+
Energies 2 :8.0373.262-1.243-3.178-2.971-1.696-0.2111.097
Energies 3 :19.1414.22210.0288.518.3047.9867.5487.148
Energies 1 :-14.765-13.035-9.989-6.985-4.245-1.7880.1541.5793/2-
Energies 2 :-14.765-13.034-9.988-6.983-4.243-1.7840.161.588
Energies 3 :33.9452617.53612.0129.4158.1647.4136.904
1.51.534.567.5910.512
Energies-5.435-10.429-12.024-11.488-10.341-9.15-7.946-6.739
Energies-5.435-10.429-12.023-11.487-10.34-9.149-7.945-6.738
Energies16.27611.5677.4656.1556.4156.4486.2175.997
Energies-14.066-15.372-13.251-10.983-9.608-8.433-7.255-6.086
Energies-14.065-15.371-13.25-10.983-9.607-8.432-7.254-6.084
Energies33.35825.18116.40810.6928.0327.0046.5736.323
Energies2.071-3.359-6.704-7.977-7.785-6.918-5.875-4.828
Energies2.072-3.359-6.703-7.977-7.784-6.917-5.874-4.827
Energies18.87213.7819.5858.0447.867.6237.2696.94
Energies-16.747-16.614-13.511-11.009-9.612-8.434-7.256-6.086
Energies-16.747-16.614-13.51-11.008-9.611-8.433-7.255-6.085
Energies31.84924.04316.0210.5958.0026.9936.5696.322
-4.537
H5,1/2+H5,3/2+
1.515.614418.0699
310.9671313.1861
4.56.945399.06405
65.700837.58227
7.56.000277.43787
96.061937.22839
10.55.850366.89508
125.644116.58198
000000000000
000000000000
000000000000
000000000000
000000000000
000000000000
000000000000
000000000000
0.0150.020.0150.02
11.12Energie,largeur=4.45E+001.73E+0011.12Energie,largeur=3.52E+002.21E+001Energie,largeur=4.03E+002.00E+001Energie,largeur=3.33E+002.25E+00
21.12Energie,largeur=2.21E+007.08E-0121.12Energie,largeur=2.08E+001.19E+002Energie,largeur=2.18E+007.66E-012Energie,largeur=2.06E+001.36E+00
31.12Energie,largeur=2.21E+004.41E-0131.12Energie,largeur=2.47E+00-1.73E+003Energie,largeur=1.35E+00-3.05E+003Energie,largeur=2.04E+00-6.23E-01
41.12Energie,largeur=2.04E+00-5.80E-0141.12Energie,largeur=2.34E+00-1.36E+004Energie,largeur=2.07E+00-7.32E-014Energie,largeur=3.35E+002.10E-01
51.12Energie,largeur=2.31E+00-2.00E-0151.12Energie,largeur=3.35E+002.74E-015Energie,largeur=2.66E+005.31E-025Energie,largeur=3.37E+001.98E-01
61.12Energie,largeur=3.98E+001.80E+0061.12Energie,largeur=2.29E+00-1.22E+006Energie,largeur=2.35E+004.31E-026Energie,largeur=2.04E+00-4.82E-01
71.12Energie,largeur=3.58E+001.11E+0071.12Energie,largeur=2.27E+00-1.13E+007Energie,largeur=2.37E+003.90E-027Energie,largeur=2.11E+00-2.18E-01
81.12Energie,largeur=3.78E+001.38E+0081.12Energie,largeur=2.55E+00-1.94E+008Energie,largeur=2.57E+003.35E-028Energie,largeur=2.37E+00-1.83E+00
91.12Energie,largeur=2.16E+00-2.85E-0191.12Energie,largeur=2.55E+00-1.93E+009Energie,largeur=3.22E+00-3.86E-019Energie,largeur=2.32E+00-4.76E-01
101.12Energie,largeur=2.25E+00-2.37E-01101.12Energie,largeur=2.81E+00-2.60E+0010Energie,largeur=2.36E+00-8.02E-0210Energie,largeur=2.27E+00-5.34E-01
111.12Energie,largeur=2.23E+00-2.46E-01111.12Energie,largeur=2.54E+00-1.92E+0011Energie,largeur=2.99E+00-2.18E+0011Energie,largeur=2.30E+00-1.73E+00
0.02121.12Energie,largeur=2.58E+00-2.00E+0012Energie,largeur=3.77E+00-3.32E-0112Energie,largeur=2.29E+00-1.72E+00
11.12Energie,largeur=4.27E+001.91E+000.0250.0213Energie,largeur=3.08E+003.96E-02
21.12Energie,largeur=2.18E+008.64E-01Parameter=1.12Energie,largeur=3.29E+002.26E+001Energie,largeur=3.78E+002.13E+000.025
31.12Energie,largeur=2.03E+00-6.86E-01Parameter=1.12Energie,largeur=2.07E+001.52E+002Energie,largeur=2.11E+001.05E+001Energie,largeur=3.09E+002.28E+00
41.12Energie,largeur=2.03E+00-6.86E-01Parameter=1.12Energie,largeur=2.12E+00-9.83E-013Energie,largeur=2.15E+00-1.19E+002Energie,largeur=2.09E+001.68E+00
51.12Energie,largeur=3.04E+001.65E-01Parameter=1.12Energie,largeur=3.07E+002.06E-014Energie,largeur=2.15E+00-1.09E+003Energie,largeur=2.21E+00-1.16E+00
61.12Energie,largeur=2.04E+00-6.61E-01Parameter=1.12Energie,largeur=2.10E+00-7.99E-015Energie,largeur=3.20E+002.33E-014Energie,largeur=2.19E+00-1.09E+00
71.12Energie,largeur=2.04E+00-6.60E-01Parameter=1.12Energie,largeur=2.10E+00-7.87E-016Energie,largeur=2.15E+00-9.92E-015Energie,largeur=2.08E+00-6.75E-01
81.12Energie,largeur=1.96E+00-7.86E-01Parameter=1.12Energie,largeur=2.54E+00-2.00E+007Energie,largeur=2.15E+00-9.54E-016Energie,largeur=3.48E+00-2.45E+00
91.12Energie,largeur=2.31E+00-5.64E-01Parameter=1.12Energie,largeur=2.33E+00-1.24E+008Energie,largeur=2.13E+00-1.47E+007Energie,largeur=2.86E+00-2.12E+00
101.12Energie,largeur=2.32E+00-5.64E-01Parameter=1.12Energie,largeur=2.44E+00-1.87E+009Energie,largeur=2.17E+00-1.32E+008Energie,largeur=2.82E+00-2.10E+00
111.12Energie,largeur=2.32E+00-5.64E-01Parameter=1.12Energie,largeur=2.44E+00-1.87E+0010Energie,largeur=2.01E+00-1.61E+009Energie,largeur=2.56E+00-1.89E+00
0.025Parameter=1.12Energie,largeur=3.99E+00-2.37E+0011Energie,largeur=2.17E+00-1.33E+0010Energie,largeur=2.33E+00-1.63E+00
11.12Energie,largeur=4.10E+002.04E+00Parameter=1.12Energie,largeur=3.33E+00-2.23E+0012Energie,largeur=2.50E+00-1.10E+0011Energie,largeur=3.63E+00-2.45E+00
21.12Energie,largeur=2.14E+001.09E+00Parameter=1.12Energie,largeur=3.08E+00-1.78E+000.02512Energie,largeur=3.35E+00-1.42E+00
31.12Energie,largeur=2.04E+00-7.74E-010.031Energie,largeur=3.56E+002.22E+000.03
41.12Energie,largeur=2.19E+00-4.75E-01Parameter=1.12Energie,largeur=3.10E+002.29E+002Energie,largeur=2.08E+001.33E+001Energie,largeur=2.91E+002.28E+00
51.12Energie,largeur=2.06E+00-6.90E-01Parameter=1.12Energie,largeur=2.13E+001.79E+003Energie,largeur=2.22E+00-1.18E+002Energie,largeur=2.18E+001.93E+00
61.12Energie,largeur=2.06E+00-6.88E-01Parameter=1.12Energie,largeur=2.43E+00-1.48E+004Energie,largeur=2.23E+00-1.01E+003Energie,largeur=2.74E+00-1.69E+00
71.12Energie,largeur=1.99E+00-1.58E+00Parameter=1.12Energie,largeur=1.86E+003.76E-015Energie,largeur=2.22E+00-1.10E+004Energie,largeur=1.76E+005.28E-01
81.12Energie,largeur=2.21E+00-7.90E-01Parameter=1.12Energie,largeur=6.63E+00-1.92E-016Energie,largeur=2.22E+00-1.09E+005Energie,largeur=6.10E+007.85E-01
91.12Energie,largeur=1.97E+00-1.33E+00Parameter=1.12Energie,largeur=2.61E+00-2.02E+007Energie,largeur=2.45E+00-1.93E+006Energie,largeur=2.76E+00-2.10E+00
101.12Energie,largeur=2.03E+00-1.11E+00Parameter=1.12Energie,largeur=2.50E+00-1.94E+008Energie,largeur=2.34E+00-1.44E+007Energie,largeur=2.61E+00-2.04E+00
111.12Energie,largeur=2.02E+00-1.12E+00Parameter=1.12Energie,largeur=2.36E+00-1.83E+009Energie,largeur=2.38E+00-1.79E+008Energie,largeur=2.41E+00-1.91E+00
0.03Parameter=1.12Energie,largeur=4.06E+00-2.32E+0010Energie,largeur=2.36E+00-1.72E+009Energie,largeur=4.33E+00-2.08E+00
11.12Energie,largeur=3.95E+002.14E+00Parameter=1.12Energie,largeur=4.05E+00-2.32E+0011Energie,largeur=2.36E+00-1.70E+0010Energie,largeur=4.43E+00-2.04E+00
21.12Energie,largeur=2.12E+001.33E+00Parameter=1.12Energie,largeur=4.06E+00-2.32E+0012Energie,largeur=4.33E+00-1.87E+0011Energie,largeur=4.29E+00-2.10E+00
31.12Energie,largeur=2.07E+00-1.01E+00Parameter=1.12Energie,largeur=4.21E+00-2.26E+0013Energie,largeur=4.14E+00-1.03E+0012Energie,largeur=4.28E+00-2.10E+00
41.12Energie,largeur=2.07E+00-9.57E-01Parameter=1.12Energie,largeur=4.13E+00-2.03E+000.0313Energie,largeur=4.26E+00-1.94E+00
51.12Energie,largeur=2.07E+00-8.93E-011Energie,largeur=3.37E+002.27E+00
61.12Energie,largeur=2.21E+00-1.93E+002Energie,largeur=2.10E+001.61E+00
71.12Energie,largeur=2.20E+00-1.92E+003Energie,largeur=2.21E+00-1.23E+00
81.12Energie,largeur=2.19E+00-1.86E+004Energie,largeur=1.95E+002.41E-01
91.12Energie,largeur=2.18E+00-1.78E+005Energie,largeur=6.63E+00-1.98E+00
101.12Energie,largeur=3.78E+00-2.79E+006Energie,largeur=2.39E+00-1.90E+00
111.12Energie,largeur=3.81E+00-2.78E+007Energie,largeur=2.37E+00-1.87E+00
8Energie,largeur=2.24E+00-1.72E+00
9Energie,largeur=1.95E+00-5.91E-01
10Energie,largeur=3.83E+00-2.56E+00
11Energie,largeur=3.84E+00-2.56E+00
12Energie,largeur=4.09E+00-2.50E+00
13Energie,largeur=4.12E+00-2.49E+00
0.02
11.12Energie,largeur=4.24E+001.92E+00
21.12Energie,largeur=2.21E+008.07E-01
31.12Energie,largeur=2.28E+00-1.69E+00
41.12Energie,largeur=2.27E+00-1.23E+00
51.12Energie,largeur=3.00E+001.10E-01
61.12Energie,largeur=2.25E+00-1.11E+00
71.12Energie,largeur=2.24E+00-1.03E+00
81.12Energie,largeur=2.30E+00-1.73E+00
91.12Energie,largeur=2.30E+00-1.71E+00
101.12Energie,largeur=2.25E+00-2.03E+00
111.12Energie,largeur=2.30E+00-1.70E+00
0.025
11.12Energie,largeur=4.08E+002.05E+00
21.12Energie,largeur=2.15E+001.06E+00
31.12Energie,largeur=2.27E+00-1.23E+00
41.12Energie,largeur=2.27E+00-1.22E+00
51.12Energie,largeur=2.27E+00-1.22E+00
61.12Energie,largeur=2.27E+00-1.20E+00
71.12Energie,largeur=2.33E+00-1.80E+00
81.12Energie,largeur=2.33E+00-1.41E+00
91.12Energie,largeur=2.30E+00-1.67E+00
101.12Energie,largeur=2.30E+00-1.60E+00
111.12Energie,largeur=2.30E+00-1.59E+00
0.03
11.12Energie,largeur=3.93E+002.14E+00
21.12Energie,largeur=2.13E+001.31E+00
31.12Energie,largeur=2.29E+00-1.29E+00
41.12Energie,largeur=2.28E+00-1.25E+00
51.12Energie,largeur=2.27E+00-1.14E+00
61.12Energie,largeur=2.58E+00-2.11E+00
71.12Energie,largeur=2.58E+00-2.10E+00
81.12Energie,largeur=2.55E+00-2.05E+00
91.12Energie,largeur=2.54E+00-2.03E+00
101.12Energie,largeur=3.82E+00-2.68E+00
111.12Energie,largeu
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