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Analyzing Powers of the Deuteron-Proton Breakup in a Wide Phase Space Region
Elżbieta Stephan
Institute of Physics
University of Silesia
Katowice, Poland
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV
University of Silesia, Katowice, Poland
Jagiellonian University, Kraków, Poland
KVI, Groningen, The Netherlands
Kraków-Bochum GroupEFT/ChPT Group Theory SupportHannover/Lisboa Group
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Why Do We Measure Analyzing Powers?
A few times more additional data points (supplementing cross sections)
Potentially stronger sensitivity to small ingredients (sums of interfering amplitudes)
Small Coulomb effects - it can be easier to trace 3NF! Data measured for elastic scattering process in the
similar range of energies show that analyzing powers are more "troublesome" than cross section - problems with spin part of interaction?
In order to reach meaningful conclusions about the interaction models precise data in large phase space regions are needed
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Vector and Tensor Polarization States
7 states: Pz Pzz
0.008 0.05
Pzmax Pzz
max Pz Pzz
+1/3 -1 0.265 -0.73
+2/3 0 0.480 -0.08
-2/3 0 -0.469 0.06
0 +1 -0.058 0.52
0 -2 0.009 -1.37
+1/3 +1 0.219 0.61
0 0
140 ΔE-E telescopes 3-plane MWPC Angular range :
θ = (12º, 38º), φ = (0º, 360º)
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
zzppzzppzppppPPTPTPiT )(
4
22cos)(
2
3cos)(31)(),(
2022110
Beam polarization
cbaN
NN
0
0P 2coscos
p
Pzmax=0, Pzz
max=+1Pz
max=0, Pzzmax=-2
Pzmax=-2/3, Pzz
max=0Pz
max=+2/3, Pzzmax=0
Pzmax=+1/3, Pzz=-1
Pzmax=+1/3, Pzz=+1
oop 5.017 oo
p 5.017 oop 5.017
Elastic scattering cross section:
iT11, T20, T22 : measured at RIKEN, Eur. Phys. J. 31, 383 (2007)
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
Analyzing powers of elastic scattering
1H(d,d)p1H(d,dp)
GeWall @ COSY
H. Mardanpour et al., Eur. Phys. J. 31, 383 (2007)
H. Witała et al.,Few-Body Systems 15, 67-85 (1993)
E. Stephan et al., Phys. Rev. C 76, 057001 (2007)
K. Sekiguchi, Phys. Rev. C 70, 014001 (2004)
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
d + 1H Measurement at 130 MeVT20 for elastic scattering and breakup reaction
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
)(2
1
)(2
1
)(
)(2
3
)(2
3
yyzz
xxzz
xyzz
yz
xz
APe
APd
APc
APb
APa
),,,( 1221 S
yxzp AAP cos
2
3sin
2
31)(),( 0
1
yyxxzzxyzz AAPAP 22 cos
2
1sin
2
1cossin
MeVS
o
o
o
96
120
20
25
12
2
1
12
12
1111 cossincossincossin
edcbaN
NN
0
0P
1H(d,pp)n Measurement at 130 MeVFit of analyzing powers
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
even observables: Ay, Axx, Ayy
odd observables: Ax, Axy; e.g.:
Constrains on the breakup analyzing powers set by parity conservation
);,'(),'( 1212 xx AA
),,(' 21 S
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
),,(' 21 S
yxzp AAPf cos
2
3sin
2
3),,'( 12
yyxxzzxyzz AAPAP 22 cos
2
1sin
2
12sin
2
1
0
0PP N
NNf
1H(d,pp)n Measurement at 130 MeVBreakup analyzing powers – fit with applies parity constrains
),,'(),,'(2
11212 pp ff
),,'(),,'(2
11212 pp ff
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Analyzing Power Results – Summary
Vector (Ax, Ay) and tensor analyzing powers (Axx, Ayy, Axy) determined in the large part of the phase space
Nearly 800 data points per observable ● θ1, θ2 = 15o – 30o; grid 5o ; Δθ = ±2o
● φ12 = 40o – 180o; grid 20o ; Δφ = ±10o
● S [MeV] = 40 – 160; grid 4; ΔS = ±4 Statistical accuracy 0.01 – 0.05 (dominating
uncertainty) Systematic errors well under control
Global comparisons with theory (χ2 test)
non-negligibleaveraging
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
Tensor Analyzing Power Results configurations with predicted 3NF effects
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Analyzing Power Results - χ2 tests
)()1()(1212
i
l
iiAAO l=1 for "even"
l=0 for "odd"
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Analyzing Power Results - χ2 tests
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Vector Analyzing Power Results
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Tensor Analyzing Power Results
Problem with TM99
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Tensor Analyzing Power Results
problem at low Erel ? not cured by inclusion of Coulomb!
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
Summary of analyzing power results:
Large, precise basis for comparing description provided by various approaches
Generally no big discrepancies between data and theoretical predictions
Vector analyzing powers reveal very low sensitivity to 3NF Tensor analyzing powers:
Coulomb effects are rather small, but not so strongly "localized" in particular ranges of phase space as in the case of cross section
current model 3NF do not provide precise description of Axy in some regions (small discrepancies also for Axx and Ayy) – problems with spin part of 3NF?
relativistic effects? doubtful... Furher developments in theories are very important! New data at different beam energies (e.g. 100 MeV) and
covering still larger part of phase space are being analyzed
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
Thank you for your attention!
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
ΔE Wall
BINA detection system at KVI
BINA Detector
MWPC
Phoswich Ball
Stopping (E) Wall
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
Investigations of 3N/4N continuum Summary
Rich set of high precision cross sections and analyzing powers data: Data at Ed = 130 MeV supplemented with results for
forward proton angles (GeWall@COSY) Complete set for Ed = 100 MeV (BINA) Measurements for pd systems at 180 and 135 MeV
(BINA) Developments in theoretical calculations for 3N
system (3N force, Coulomb interaction, relativistic effects, higher order in ChPT …)
Studies of breakup processes in dd system (BINA) at 130 MeV
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
Studies of the possible sources of systematic effects: Determination of proton emmission angles
Control over geometry - kinematics of the elastic scattering process.
Phase of j – asymmetry distributions for elastic scattering, uncertainty below 0.5o.
Uncertainty of polarization determination well under control, systematic error of
about 3 %. General consistency of the data –
do they fulfill constrains of parity conservation?
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Analyzing Power Results – T20
yyxx AAT 2
120
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009
1H(d,pp)n Measurement at 130 MeV Coordinate system
Elżbieta Stephan, University of Silesia, FB19, Bonn 2009