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Measurements of meson mass
at J-PARC
K. Ozawa (KEK)
Contents:Physics motivationCurrent resultsExperiments @ J-PARCSummary
Origin of Hadron mass
2011/11/30 Zimanyi school 2011, K. Ozawa
1
10
100
1000
10000
100000
1000000
u d s c b t
QCD Mass
Higgs Mass
95% of the (visible) mass is dynamically generated by the strong interaction.
This mechanism is actively studied both theoretically and experimentally.
Current quark masses generated by
spontaneous symmetry breaking (Higgs field)
Constituent quark masses should be generated byQCD dynamical effects
2
Naïve Theory
2011/11/30 Zimanyi school 2011, K. Ozawa 3
High TemperatureHigh Density
Quark – antiquark pairs make a condensate and give a potential. Chiralsymmetry is breaking, spontaneously.
Chiral symmetry exists.Mass ~ 0 (Higgs only)
Vacuum contains quark antiquark condensates.So called “QCD vacuum”.
q
q
Vacuum Vacuum
When T and r is going down,
p as a Nambu-Goldstone boson.
Experimental approach?
2011/11/30 Zimanyi school 2011, K. Ozawa 4
When chiral symmetry is restored, mass of chiral partner should be degenerated.
Dm will decrease in finite r/T matter.
“QCD vacuum”, i.e. quark condensates can be changed in finite density or temperature.Then, chiral symmetry will
be restored (partially).
Vacuumr 0T 0
In finite /r T
Chiral properties can be studied at finite density and temperature.
However, measurements of chiral partner is very difficult.We measure mass modification of narrow resonance.
mass
(JP = 1-)
a1 (JP = 1+)1250
770
/r T
Dm
Dm = 0Degenerate
Best Observable…
Mass shift and Condensate
2011/11/30 Zimanyi school 2011, K. Ozawa 5
In fact, Mass modification of a vector meson can be connected to quark condensates.
q
q
Vacuum Vacuum
QCD sum rule
Average of Imaginary part of P(w2)
vector meson spectral function
T.Hatsuda and S.H. Lee,PRC 46 (1992) R34
03.0;10
*
B
V
V
m
m
Prediction
Spectrum
mV
Theoretical Assumption
Measurements of mass related information in hot/dense matter is essential!
Example:
2011/11/30 Zimanyi school 2011, K. Ozawa
Predicted “spectra”
• Predicted mass spectral function of vector mesons ( , , r w f) in hot and/or dense matter.– Lowering of in-medium mass– Broadening of resonance
R. Rapp and J. Wambach, EPJA 6 (1999) 415
r- meson
6
P. Muehlich et al. , Nucl. Phys. A 780 (2006) 187
- meson
In addition, several models predict mass spectra of mesons and it can be compared with experimental results directly.
CURRENT EXPERIMENTS
2011/11/30 Zimanyi school 2011, K. Ozawa 7
Generate hot/dense media
heavy ion reactions:A+AV+X
mV(>>0;T>>0)
SPS
LHC
RHIC
82011/11/30 8Zimanyi school 2011, K. Ozawa
Measurements of Vector Meson mass spectra in hot/dense medium will provide QCD medium information.
Leptonic (e+e-, m+m-) decays are suitable, since lepton doesn’t have final state interaction.
Hot matter experiments
SPS-CERES results
2011/11/30 Zimanyi school 2011, K. Ozawa 9
D. Miskowiec, QM05 talk
Existing of Mass modification is established.
PLB663, 43 (2008)
NA60 Results @ SPS
10
PRL 96, 162302 (2006)
2011/11/30 10Zimanyi school 2011, K. Ozawa
[van Hees+R. Rapp ‘06]
Next, Let’s go to RHIC!
Spectrum is well reproduced with collisional broadening.
Muon pair invariant mass in Pb-Pb at sNN=19.6 GeV
Results @ RHIC
2011/11/30 Zimanyi school 2011, K. Ozawa 11
• Black Line– Baseline calculations
• Colored lines– Several models
Low mass• M>0.4GeV/c2:
– some calculations OK• M<0.4GeV/c2:
not reproduced– Mass modification– Thermal Radiation
Excess from known hadronic sources is also observed.However, it looks different.
No concluding remarks at this moment.New data with New detector (HBD) can answer it.
Electron pair invariant mass in Au-Au at sNN=200 GeV
PRC81(2010) 034911
New detector!
2011/11/30 Zimanyi school 2011, K. Ozawa 12
signal electron
Cherenkov blobs
partner positronneeded for rejection
e+
e-
qpair openingangle
~ 1 m
Constructed and installed by Weizmann and Stony Brook group.
~20 p.e.
few p.e.
Hadron
Single electron
Great performance!
Then, Nucleus!
elementary reaction:, p, V+XmV(=0;T=0)
, . p - beams
J-PARCCLAS
At Nuclear Density
132011/11/30 13Zimanyi school 2011, K. Ozawa
Stable systemSaturated density
Experiments, CBELSA/TAPS KEK-E325 @KEK-PS (Japan)CLAS g7 @ J-Lab
Cold matter experiments
Two Experimental methods– Direct measurements of mass spectra
Emitted Proton Neutronp, , p g
Nucleon Hole
Target
Decay
Meson
– Meson bound state spectroscopy
2011/11/30 Zimanyi school 2011, K. Ozawa 14
Results with Bound states K. Suzuki et al., Phys. Rev. Let., 92(2004) 072302
p bound state is observed in Sn(d, 3He) pion transfer reaction.
Reduction of the chiral order parameter, f*p(r)2/fp
2=0.64 at the normalnuclear density, r = r0 is indicated.
2011/11/30 Zimanyi school 2011, K. Ozawa
p bound state
Y. Umemoto et al., Phys. Rev. C62(2004) 02460615
Direct Measurements of MassKEK-PS E325: 12 GeV proton induced.
p+A r, w, f + XElectron decays are detected.
2011/11/30 16Zimanyi school 2011, K. Ozawa
E325 Spectrometer
2011/11/30 17Zimanyi school 2011, K. Ozawa
E325 Results I
mr = m0 (1 - /0) for = 0.092011/11/30 Zimanyi school 2011, K. Ozawa 18
Induce 12 GeV protons to Carbon and Cupper target, generate vector mesons, and detect e+e- decays with large acceptance spectrometer.
Cu we+e-
re+e-
w/ /r f
The excess over the known hadronic sources on the low mass side of w peak has been observed.
M. Naruki et al., PRL 96 (2006) 092301
KEK E325, / r w e+e-
Note: CLAS g7a @ J-Lab
2011/11/30 Zimanyi school 2011, K. Ozawa 19
Induce photons to Liquid dueterium, Carbon, Titanium and Iron targets, generate vector mesons, and detect e+e- decays with large acceptance spectrometer.
mr = m0 (1 - /0) for = 0.02 ± 0.02
No peak shift of r
Only broadening is observed
g w/ /r f
R. Nasseripour et al., PRL 99 (2007) 262302
2011/11/30 Zimanyi school 2011, K. Ozawa
E325 Result II: f e+e-
Cu
bg<1.25 (Slow)
Invariant mass spectrum for slow f mesons of Cu target shows a excess at low mass side of f.
Measured distribution contains both modified and un-modified mass spectra. So, modified mass spectrum is shown as a tail.
20
First measurement of f meson mass spectral modification in QCD matter.
R. Muto et al., PRL 98(2007) 042581
Excess!!
bg<1.25 (Slow) 1.25<bg<1.75 1.75<bg (Fast)
2011/11/30 Zimanyi school 2011, K. Ozawa
Mass modification is seen only at heavy nuclei and slowly moving f Mass Shift:
mf = m0 (1 - /0) for = 0.0321
Target/Momentum dep.
NEW EXPERIMENTS@ J-PARC
2011/11/30 Zimanyi school 2011, K. Ozawa 22
2011/11/30 Zimanyi school 2011, K. Ozawa
Performance of the 50-GeV PS
• Beam Energy : 50 GeV(Currently, 30GeV)
• Repetition: 3.4 ~ 5-6s• Flat Top Width : 0.7 ~ 2-3s• Beam Intensity: 3.3x1014ppp, 15mA
(2×1014ppp, 9mA) ELinac = 400MeV (180MeV)
• Beam Power: 750kW (270kW)
Numbers in parentheses are ones for the Phase 1.
23
2011/11/30 Zimanyi school 2011, K. Ozawa
Linac
J-PARC• Cascaded Accelerator Complex:
3GeV Rapid Cycling (25Hz) Synchrotron
50GeV Synchrotron
Materials and Life Science Facility
Hadron Hall (Slow Extracted Beams)
Neutrino Beamline to Super-Kamiokande
24
Hadron Hall
2011/11/30 Zimanyi school 2011, K. Ozawa
Hadron HallNP-HALL
56m(L)×60m(W)
Upgrade of E325Large statistics
25
Stopped w for Clear mass
modification
Exp1: Upgrade of KEK-E325• Large acceptance (x5 for pair )• Cope with high intensity beam and high rate (x10)• Good mass resolution ~ 5 MeV/c2
• Good electron ID capability
2011/11/30 Zimanyi school 2011, K. Ozawa 26100 times higher statistics!!
What can be achieved?
2011/11/30 Zimanyi school 2011, K. Ozawa 27
Pb
fModified f
[GeV/c2]
f from Proton
Invariant mass in medium
ff
ff
ff
ff
p dep
.
High resolution
Kinematic dependence
Detector components
2011/11/30 Zimanyi school 2011, K. Ozawa 28
Tracker~Position resolution 100μmHigh Rate(5kHz/mm2)Small radiation length(~0.1% per 1 chamber)
Electron identificationLarge acceptanceHigh pion rejection @ 90% e-eff.
100 @ Gas Cherenkov25 @ EMCal
R&D Items
2011/11/30 Zimanyi school 2011, K. Ozawa 29
Develop 1 detector unit and make 26 units.① GEM foil
③ Hadron Blind detectorGas Cherenkov for electron-ID
② GEM Tracker
Ionization (Drift gap)+ Multiplication (GEM)
High rate capability + 2D strip readout
CsI + GEMphoto-cathode
50cm gas(CF4) radiator~ 32 p.e. expectedCF4 also for multiplication in GEM
Exp 2: stopped w meson
2011/11/30 Zimanyi school 2011, K. Ozawa 30
g g
gp
w p0
n
p-A + N+X
p0g
2ppm
Beam momentum is ~ 1.8 GeV/c. As a result of KEK-E325,9% mass decreasing (70 MeV/c2) can be expected.
Generate w meson using p beam.Emitted neutron is detected at 0.Decay of w meson is detected.
If p momentum is chosen carefully, momentum transfer will be ~ 0.
w m
om
entu
m [
GeV
/c]
0.2
0.4
0 2 4p momentum [GeV/c]
0
2011/11/30 31Zimanyi school 2011, K. Ozawa
Experimental setupp-p wn @ 1.8 GeV/c
p0 g gg
Target: Carbon 6cmSmall radiation lossClear calculation of w bound state Also, Ca, Nb, LH2
Neutron DetectorFlight length 7m60cm x 60 cm (~2°)
Gamma DetectorGood resolution75% of 4p
Beam Neutron
Gamma Detector
Detectors
2011/11/30 Zimanyi school 2011, K. Ozawa 32
Timing resolutionTiming resolution of 80 ps is achieved (for charged particle).It corresponds to mass resolution of 22 MeV/c2.
Neutron EfficiencyIron plate (1cm t) is placed.Efficiency is evaluated using a hadron transport code, FLUKA.Neutron efficiency of 25% can be achieved.
Neutron Detector EM calorimeter
CsI EMCalorimeterExisting detector + upgrade
( D.V. Dementyev et al., Nucl. Instrum. Meth. A440(2000), 151 )
912
mass resolution of 18 MeV/c2 can be achieved.
Expected results
2011/11/30 Zimanyi school 2011, K. Ozawa 33
H. Nagahiro et al, Calculation for 12C(p-, n)11Bw
Final spectrum is evaluated based on a theoretical calculation and simulation results.
Expected Invariant mass spectrum
Stopped w is selected by forward neutron
Generation of w is based on the above theoretical calculation.
Detector resolution is taken into account.
Yield estimation is based on 100 shifts using 107 beam.
Estimated width in nucleus is taken into account.
Exp 3: Study of Baryon sector
2011/11/30 Zimanyi school 2011, K. Ozawa
h bound stateN*(1535)
KS-KL s-wave resonance (Chiral Unitary model)Chiral partner of nucleon (Chiral Doublet model)
h – N is strongly coupled with N*
How to study N* experimentally?
h in nucleus makes N* and hole
Generate slowly moving h in nucleus
LOI by K. Itahashi et. al
Calc. by H. Nagahiro
34
Experiment for h
2011/11/30 Zimanyi school 2011, K. Ozawa
LOI by K. Itahashi et. al Calc. by H. Nagahiro, D. Jido, S. Hirenzaki et. al
Forward neutron is detected.missing mass distribution is measured.
In addition, measurements of invariant mass of N* decay
Simulation
35
Exp 4: f bound state?
2011/11/30 Zimanyi school 2011, K. Ozawa
Cu
bg<1.25 (Slow)
Bound?
ss
uud
K+
Λ
Φ
p ud
s
us
Detection:fp -> K+L
Generation:pp -> ff
36
Exp 5: h’ @ J-PARC
2011/11/30 Zimanyi school 2011, K. Ozawa 37
It’s under discussion with Prof. T. Csorgo.Please join us and come to Japan!
Summary• According to the theory, Hadron mass is
generated as a results of spontaneous breaking of chiral symmetry.
• Many experimental efforts are underway to investigate this mechanism. Some results are already reported.
• New experiments for obtaining further physics information are proposed.– Explore large kinematics region– Measurements with stopped mesons
2011/11/30 Zimanyi school 2011, K. Ozawa 38
Back up
Chiral symmetry
2011/11/30 Zimanyi school 2011, K. Ozawa 40
The lagrangian does not change under the transformation below .
This symmetry is called as Chiral symmetry.
V(q)
q
Symmetric in rotation
GluonDivide with chirality Neglect (if m ~0)quark mass
Breaking of symmetry
2011/11/30 Zimanyi school 2011, K. Ozawa 41
Potential is symmetric andGround state (vacuum) is at symmetric position
Potential is still symmetric, however,Ground state (vacuum) is at non-symmetric position
This phenomenon is called
spontaneous symmetry breaking
When the potential is like V(f) = f4,
dV ~ self energy of ground state ~ mass
If the interaction generate additional potential automatically,
V’(f) = -a*f2
Theoretical efforts
• Nambu-Jona-Lasino model– Nambu and Jona-Lasino, 1961– Vogl and Wise, 1991– Hatsuda and Kunihiro, 1994
• Chiral Perturbation theory– Weinberg 1979
• QCD sum rule– Shifman et al., 1979– Hatsuda and Lee, 1992
• Lattice QCD– Wilson, 1974
• Empirical models– Potential model (De Rujula et al., 1975), Bag model (Chdos et al.,
1974)• In addition, Collisional broadening, nuclear mean field …2011/11/30 Zimanyi school 2011, K. Ozawa 42
‘T.Hatsuda and S. Lee,PRC 46 (1992) R34
18.0;1mm
0
B
V
*V
Vector meson mass
Connect hadron properties and chiral properties using QCD and/or phenomenology.
G.E.Brown and M. Rho,PRL 66 (1991) 2720
0
**
8.0qq
mm
RHIC&PHENIX
2011/11/30 Zimanyi school 2011, K. Ozawa 43
Not only mass spectra, K. Suzuki et al., Phys. Rev. Let., 92(2004) 072302
p bound state is observed in Sn(d, 3He) pion transfer reaction.
Reduction of the chiral order parameter, f*p(r)2/fp
2=0.64 at the normalnuclear density (r = r0 ) is indicated.
2011/11/30 Zimanyi school 2011, K. Ozawa
p bound state
Y. Umemoto et al., Phys. Rev. C62(2004) 024606
44New exp. will be done at RIKEN
D. Jido et al., arXiv:0805.4453
Jido-san et al. shows that p-nucleus scattering length is directly connected to quark condensate in the medium.
Mass spectra measurements• Following four experiments,
– TAGX experiments @ INS-Japan– CBELSA/TAPS experiments– KEK-E325 @KEK-PS-Japan– CLAS g7 experiment @ J-Lab-USA
• Use heavy and light nucleus and extract mass modification
45
Obtained spectra is combination of two spectra, such as decayed in nucleus and free space.
Expected mass spectra
2011/11/30 45Zimanyi school 2011, K. Ozawa
Note
46Zimanyi school 2011, K. Ozawa
INS-ES TAGX experiment
Eg STT modelPresent
work
Previouswork
800-960MeV
700-710 MeV
672±31MeV
960-1120MeV
730MeV
743±17MeV
Eγ~0.8-1.12.GeV, sub/near-threshold ρ0 production• PRL80(1998)241,PRC60:025203,1999.: mass reduced in
invariant mass spectra of 3He(γ, ρ0)X ,ρ0 --> π+π−• Phys.Lett.B528:65-72,2002: introduced cosq analysis to
quantify the strength of rho like excitation • Phys.Rev.C68:065202,2003. In-medium r0 spectral function
study via the H-2, He-3, C-12 ( ,g p+ p-) reaction.
2011/11/30
Try many models, and channels Δ, N*, 3π,…
Background is not an issue• Combinatorial background is evaluated by a mixed event
method.• Form of the background is determined by acceptance and
reliable.• We should be careful on normalization.
2011/11/30 Zimanyi school 2011, K. Ozawa 47
Absolute normalization using like-sign pairs
CLAS KEKNormalized using mass region above f. There is enough statistics
The problem:Each experiment can’t apply another method.
2011/11/30 Zimanyi school 2011, K. Ozawa 48
1g/cm2
1g/cm2
C Cu
421 ,, ZBackgroundZBremshAV
Experimentalists face to reality - E325 simulation- e+e-
KEK-E325 Target
material beam (p/spill)
Interaction length(%)
radiation length(%)
C 0.64x109 0.2% 0.4%
Cu X4 0.05% X4 0.5% X4
Condensates and Spectrum
2011/11/30 Zimanyi school 2011, K. Ozawa 49
Unfortunately, quark condensates is not an observable.We can link condensates and vector meson spectrum.
How to access quark condensate experimentally?
q
q
Vacuum Vacuum
QCD sum rule
Average of Imaginary part of P(w2)
vector meson spectral function
T.Hatsuda and S. Lee,PRC 46 (1992) R34
03.0;10
*
B
V
V
m
m
Prediction
Spectrum
mV
The relation is established by Prof. Lee and Prof. Hatsuda.
Assume
Next step
2011/11/30 Zimanyi school 2011, K. Ozawa 50
Then, calculate quark condensate using QCD sum rule.
Experimental requirements
1. High statics2. Clear initial condition
Average of Imaginary part of P(w2)
Assumed Spectrum
Evaluate quark condensate directly.Not comparison btw predictions and measurements.
Replace by average of measured spectra
p
GEM foils
• Dry etching method is developed in Japan.– Hole shape is improved and
cylindrical hole GEM has better Gain stability.
– Thicker GEM foils is generated.
2011/11/30 Zimanyi school 2011, K. Ozawa 51
wet etching dry etching
Hole shape
A hole with cylindrical
shape
A hole with double-conical
shape
WetDry
10
100
1000
10000
250 275 300 325 350 375 400
Gai
n
Δ Vgem/ 2 (100μ ) ・Δ Vgem (50μ )[V]
100μ m(single)
50μ m(triple)
100mm1 foil
50mm3 foils
Applied Voltage per 50 mm [V] 300 350
102
103
Thicker GEM foil
Stability of GEM gain
GEM Tracker
2011/11/30 52Zimanyi school 2011, K. Ozawa
Gas: Ar/CO2
2D readout: kapton t=25mm(Cu: t=4mm both side) 290 mm
Test @ KEK
σ~105μm
Residual [mm]
HBD: in the beginning…
2011/11/30 Zimanyi school 2011, K. Ozawa 53
1~2 photo electronsToo small…
dE/dx (Blind ON)
dE/dx + Light (Blind OFF)
Compare Measured Charge w/wo Cherenkov light blind
Charge [A.U.]
This part of evaporated CsI looks gone!!Low Q.E.?
Beam test results
2011/11/30 Zimanyi school 2011, K. Ozawa 54
GEM Configuration
2mm
2mm
2mm
11mm
Drift gap 11mm, 500V/cmAmplifing part 50μm GEM×3
Xi – XSSD [mm]Charg
e d
ivis
ion
Response Function
Weighted mean of Strip Charge
σ~105μm
Residual [mm]
Position Resolution:spos = Charge spread / Neff Worse resolution for tilted trackspos = 470 mm @ 15Require good resolution @ 30
Charge Spread
③ Hadron Blind Detector
• 紫外域に感度を持つ CsI 光電面– Cherenkov 光検出に最適– GEM 上面に CsI 光電面を蒸着
– 100 mm GEM を用いる• Radiator ガス : CF4
– High transmission @ UV
2011/11/30 55
CsI 光電面による Cherenkov 光検出器
MESH
2 mm
1.5 mm
3.25 mm
5.25 mm
LCP(100um)
CsI
pad
Cer
enko
vph
oton
Ionization(40)
Phot
oelec
tron (
32)
50um
GEM
50um
GEM
32 x 800
– p Threshold 4 GeV/c • GEM 3層を電子増幅に使用
– Gain ~ 800 @ CsI GEM Important for e/p
• Pad 読み出しで位置情報も
• Reverse Bias to suppress ionization!!
Ref. NIM A523, 345, 2004
ElectronCF4 Radiator
By K. AokiZimanyi school 2011, K. Ozawa
56
HBD @ J-PARC
2011/11/30 Zimanyi school 2011, K. OzawaCerenkov blob, f ~34mm
Beam
• Beam– 600 MeV
positron
• Defined are• 1cm x 1cm
Contradiction?
• Difference is significant
• What can cause the difference?– Different production process– Peak shift caused by phase
space effects in pA?• Need spectral function of r
without nuclear matter effects
Note: • similar momentum range• E325 can go lower slightly
2011/11/30 Zimanyi school 2011, K. Ozawa 57
We need to have a new experiment to investigate the problem.
CLAS
KEK
R.S. Hayano and T. Hatsuda, Ann. Rev.
Results from CBELSA/TAPS
disadvantage:
• p0-rescattering
advantage:
• p0g large branching ratio (8 %)
• no -contribution ( 0 : 7 10-4)
g g
gg
w p0
p
gA + X
p0g
2ppm
TAPS, w p0g with g+A
2011/11/30 Zimanyi school 2011, K. Ozawa 58m = m0 (1 - /0) for = 0.13No sensitivities for mass modification
arXiv: 1005.5694V. Metag at Hawaii JPS-DNP meeting
TAPS results II
2011/11/30 Zimanyi school 2011, K. Ozawa 59
M. Kotulla et al, PRL 100 (2008) 192302 E= 900 – 1400 MeV
Large w width in nuclei due to w-N interaction.
60 MeV/c2 even at stopped w.
In-medium decays
Essential:Focus on Small momentumIssue:Yield estimation of decays
Branching Ratio
60% 26.1
conversion
% 92.8
space freeat
MeV 60 , MeV 49.8
*
*
2222*
0
0
total
abstotal
absabsfreetotal
total
absfree
M. Kotulla et al, PRL 100 (2008) 192302
60 MeV/c2 even at stopped w.
2011/11/30 Zimanyi school 2011, K. Ozawa
Decay Yield EvaluationBased on measured crosssection of p-p wn for backward w (G. Penner and U. Mosel, nucl-th/0111024,J. Keyne et al., Phys. Rev. D 14, 28 (1976))
Production cross section0.02 mb/sr (CM) @ s = 2.0 GeV 0.17 mb/sr (Lab) @ s = 2.0 GeV Beam intensity107 / spill, 6 sec spill lengthNeutron Detector acceptanceDq = 2°(60 cm x 60 cm @ 7m)Gamma Detector acceptance90% for wRadiation loss in target 11%Survival probability in final state interaction 60%Beam Time 100 shiftsBranching Ratio 1.3 % 8.9 %
2011/11/30 Zimanyi school 2011, K. Ozawa 61
H. Nagahiro et al calculation based on the cross section and known nuclear effects.Assumed potential is consistent with w absorption in nucleus.
Interact w nuclei
No interact
Total
Large width ~ 60 MeV/c2
% 26.1*
0,
*
totalabstotal
Neutron MeasurementTiming resolution
Beam test is done at Tohoku test lineTiming resolution of 80 ps is achieved (for charged particle).It corresponds to mass resolution of 22 MeV/c2.
2011/11/30 62Zimanyi school 2011, K. Ozawa
Neutron EfficiencyIron plate (1cm t) is placed to increase neutron efficiency.Efficiency is evaluated using a hadron transport code, FLUKA.Neutron efficiency of 25% can be achieved.
Bound region
We can not see a clear bound peak.At this moment, there is no beam line at J-PARC to have enough TOF length and beam energy
Gamma detectorCsI EMCalorimeter
T-violation’s one is assumed.( D.V. Dementyev et al., Nucl. Instrum. Meth. A440(2000), 151 )
2011/11/30 63Zimanyi school 2011, K. Ozawa
Assumed Energy Resolution
Obtained p meson spectra for stopped K decays
Muon holes should be filled by additional crystals.Acceptance for w is evaluated as 90%.
Fast simulation is tuned to reproduce existing data.
Simulation1. Assume base resolution as shown
in the previous slide
2. Apply additional smearing to match the existing data.
– Depend on crystal position
2011/11/30 Zimanyi school 2011, K. Ozawa 64
Tail due to holes w. Fiducial cut
pdata
pdata
pSim.
pSim.
wo. Fiducial
Simulation Tune
w. Fiducial
Simulation results for w
Fiducial Cut for w meson
Direct g from w decay hits away from holes (red crystal)
Final Spectrum
2011/11/30 Zimanyi school 2011, K. Ozawa 65
Including Background: Main background is 2p0 decays and 1g missing
Bound region
One can select bound region as Energy of w < E0, which is measured by the forward neutron counter.
Invariant Mass spectrum for the bound region
Strong kin. effects
Expected results
2011/11/30 Zimanyi school 2011, K. Ozawa 66
H. Nagahiro et al
2366 2755 938
Generation of w
Decay of w (Invariant Mass)
Large abs.No int.
Large abs.Large int.
“Mass” correlation?
2011/11/30 Zimanyi school 2011, K. Ozawa 67
Neutron energy spectrum
Interact w. nuclei andMass modification
No interactNo mass mod.
Smearing
Correlation to invariant mass reconstructed by p0g (Mass @ decay)
Expected Missing mass spectrum(Mass @ generation)
Non-correlation? Same mass?
“Mass” Correlation
2011/11/30 Zimanyi school 2011, K. Ozawa 68
Invariant Mass VS Missing EnergyNon-correlated model
Correlated model
Correlation analysis will useful for reducing kinematical effects.
simulation
Issue: Final state interaction
2011/11/30 Zimanyi school 2011, K. Ozawa 69no distortion by pion rescattering expected in mass range of interest.
P. Mühlich, PhD-thesis, Giessen, 2006
GiBUU simulationassuming droppingin-medium ω massOpen symbol
Scattered p
ω
J. G. Messchendorp et al., Eur. Phys. J. A 11 (2001) 95
Re-scattering of p is governed by D dynamics Our decayed p has Tp of 256 MeV
Similar kinematics range
However, 0.13/(0.22+0.13) = 0.37 is missing.