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