tensor and vector analyzing powers of d ↑ d → pt and d ↑ d → px reactions at 270 mev

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TENSOR AND VECTOR ANALYZING POWERS OF d dpT and ddpX REACTIONS AT 270 MEV T.A.Vasiliev 1† , T.Saito 2 , V.P.Ladygin 1 , M.Hatano 2 , A.Yu.Isupov 1 , M.Janek 1,5 , H.Kato 2 , N.B.Ladygina 1 , Y.Maeda 7 , A.I.Malakhov 1 , S.Nedev 6 , J.Nishikawa 4 , H.Okamura 8 , T.Ohnishi 3 , S.G.Reznikov 1 , H.Sakai 2 , S.Sakoda 2 , N.Sakomoto 3 , Y.Satou 2 , K.Sekiguchi 3 , K.Suda 7 , A.Tamii 9 , T.Uesaka 7 , N.Uchigashima 2 , K.Yako 2 1 LHE JINR, Dubna, Moscow region, 141980 Russia 2 Department of Physics, University of Tokyo, Tokyo 113-0033, Japan 3 The Institute of Physical and Chemical Research (RIKEN), Wako 351-0198, Japan 4 Department of Physics, Saitama University, Saitama 338-8570, Japan 5 University of P.J.Safarik, 041-54 Kosice, Slovakia 6 University of Chemical Technology and Metallurgy, Sofia, Bulgaria 7 Center for Nuclear Study, University of Tokyo, Tokyo 113-0033, Japan 8 Cyclotron and Radioisotope Center, Tohoku University, Sendai, Miyagi 980-8578, Japan 9 Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan [email protected]

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Page 1: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

TENSOR AND VECTOR ANALYZING POWERS OF

d↑ d→pT and d↑ d→pX REACTIONS AT 270 MEV

T.A.Vasiliev1†, T.Saito2, V.P.Ladygin1, M.Hatano2, A.Yu.Isupov1, M.Janek1,5, H.Kato2, N.B.Ladygina1, Y.Maeda7, A.I.Malakhov1, S.Nedev6, J.Nishikawa4, H.Okamura8, T.Ohnishi3, S.G.Reznikov1, H.Sakai2, S.Sakoda2, N.Sakomoto3,

Y.Satou2, K.Sekiguchi3, K.Suda7, A.Tamii9, T.Uesaka7, N.Uchigashima2, K.Yako2

1 LHE JINR, Dubna, Moscow region, 141980 Russia2 Department of Physics, University of Tokyo, Tokyo 113-0033, Japan3 The Institute of Physical and Chemical Research (RIKEN), Wako 351-0198, Japan4 Department of Physics, Saitama University, Saitama 338-8570, Japan 5 University of P.J.Safarik, 041-54 Kosice, Slovakia 6 University of Chemical Technology and Metallurgy, Sofia, Bulgaria7 Center for Nuclear Study, University of Tokyo, Tokyo 113-0033, Japan 8 Cyclotron and Radioisotope Center, Tohoku University, Sendai, Miyagi 980-8578, Japan 9 Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan †[email protected]

Page 2: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Abstract Complete set of the beam deuteron analyzing powers of the d↑ d→pT reaction

at 270 MeV is obtained. The angular distributions of the tensor AYY, AXX, AXZ

and vector Ay analyzing powers were measured in angular range from 90O to180O in c.m.s.

The d↑ d→pX data on AY, AYY and AXX near breakup threshold are alsoobtained.The experimental data in these kinematical conditions are sensitive mostly tothe spin structure of deuteron.

1 Introduction

2 Experiment

3 Analysis

Derivation of Beam Polarization

Derivation of Analyzing Powers

4 Results and Discussion

5 Summary

Page 3: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

One Nucleon Exchange reaction like

d↑ p → p↑ d T20, k0 Saclay, Dubnad↑ p → p d↑ k0, dσ/dΩ, Ay,Ayy,Axx,Axz 250 MeV RIKENp↑ d → d↑ p Ay (p), Ay (d) 150, 190 MeV KVI d↑ 3He↑→p 4He C// 140, 200, 270 MeV RIKENd↑ d→pT and d↑ d→pX Ay,Ayy,Axx,Axz 140, 200, 270 MeV RIKEN

are the simplest processes with a large momentum transfer ↓1. These reactions could be used as a tool to study the deuteron structure at short distances;2. Polarization observables of these reactions are sensitive to the D/S wave ratio in deuteron.

The goal of this report is to present the data on the tensor and vector analyzing powersAYY, AXX, AXZ and AY for the reaction d↑ d→pT obtained in R308n experiment at RIKEN. Also the data for the breakup reaction near threshold d↑ d→pX are shown.

The relative momenta of nucleons in deuteron achieves ≈ 400 MeV/c at energy Ed=270MeV.

Introduction

Page 4: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Experiment

Page 5: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Magnetic Spectrometer SMARTExperiment

Page 6: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Beam Polarization

1. SwingerPOL 2. DroomPOL

02NNNp

NNp

ZZ

Z

10 NNN

The deuteron vector and tensor polarizations with respect to thecylindrically symmetric axis Z are defined by

)]()()][,(),([61

)(),(21

)(),(32

)(),(23

1),;(

yyxxyyxxzzzz

xzxzyy

AAppAp

ApApN

The differential cross section normalized by the unpolarized one is given by

PIS:Mode 0: (pZ,pZZ)=(0,0)Mode 1: (pZ,pZZ)=(0,-2)Mode 2: (pZ,pZZ)=(-2/3,0)Mode 3: (pZ,pZZ)=(1/3,1)

Page 7: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Beam Polarization

Amp1.vs.TOF1The amplitude correlation between signals from the deuteron detector and RF.

TOF1-TOF2Time-of-flight coincidence for the deuteron

and proton detectors.

Amp1.vs.Amp2

true

background

Page 8: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Beam Polarization

Page 9: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

sw=7O sw=14O sw=21O sw=28O sw=34O

sw=41O

sw=48O

The tensor Pyy and Pxz polarization elements for Axz data at 270 MeV.

Page 10: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Analyzing Powers

Definition of the scattering angles and the coordinates:

at the target at the spectrometer

Page 11: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Analyzing Powers

Amp1.vs.Amp2 Amp1.vs.TDRF

The amplitude correlation between signals from the first and the second plastic scintillators.

The amplitude correlation between the signals from the first plastic scintillator and RF-TDCtrig.

p d

Page 12: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Analyzing Powers Typical example of the obtained energy spectra of d↑ d→pT reaction at emission angles Θcm=175 (a) and 103 (b).

llsx MpEEE 220 )(

Page 13: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Derivation of Analyzing Powers

The normalized cross section for the spin mode M (M=1,2,3)are defined as:

Page 14: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

The experimental results on

Ay, Ayy, Axx and Axz

analyzing powers of d↑ d→pT reaction

at Ed 270 MeV.

Page 15: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

The experimental results on T20, T21 and T22 analyzing powers of d↑ d→pT reaction at Ed 270 MeV.

Page 16: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Typical example of the obtained excitation energy spectra after Ex(d+CD2) - k*Ex(d+C) subtraction at Θcm=8 c.m.s.

___ d↑ d→p dn

___ d↑ d→p ppn

Page 17: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

The experimental results on

Ay, Ayy and Axx

analyzing powers of d↑ d→pX reaction

at Ed 270 MeV.

Page 18: TENSOR AND VECTOR  ANALYZING POWERS OF d ↑  d → pT and d ↑  d → pX REACTIONS AT 270 MEV

Summary1. The experimental data on the tensor and vector analyzing powers Ayy, Axx, Axz

and Ay for d↑d→pT are obtained at Ed=270 MeV in angular range of 90o-1800 in the c.m.s.

2. The experimental data on tensor analyzing powers of this reaction show sensitivity to the spin structure of deuteron.

3. The angular distribution of Ay indicates the necessity of description of the reaction mechanism beyond the ONE.

4. The experimental data of the tensor and vector analyzing powers Ayy, Axx and Ay for d↑d→pX breakup reaction are obtained.

5. The experimental data on Ayy, Axx for this reaction also show the sensitivity to the spin structure of deuteron.

6. The angular distribution of Ay of breakup reaction is the same as for the binary one within achieved experimental errors.

7. The interpretation of the obtained experimental data needs further development in theoretical approaches either to adequative description of the light nuclei structure at short distances or taking into account mechanisms in addition to ONE.