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Forward Collisions and Spin Effects in Evaluating Amplitudes. N. Akchurin, Texas Tech University, USA N. Buttimore , Trinity College Dublin, Ireland A. Penzo , INFN & Università di Trieste, Italy. Introduction. Polarized proton collisions probe dependence on spin

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forward collisions and spin effects in evaluating amplitudes

Forward Collisionsand Spin Effects in Evaluating Amplitudes

N. Akchurin, Texas Tech University, USA

N. Buttimore, Trinity College Dublin, Ireland

A. Penzo, INFN & Universitàdi Trieste, Italy

introduction
Introduction
  • Polarized proton collisions probe dependence on spin
  • Analyticity relates low and high energy helicity amplitudes
  • Hadronicspin effectsare enhanced by photon exchange interference
  • Study forward spin dependence for cross section normalisation

N Buttimore / Akchurin

peripheral proton and ion collisions
Peripheral Proton and Ion Collisions

Hadronicspin dependence is important for

  • Parton distribution functions and nucleon form factors
  • Measuring the proton beam polarization at BNL RHIC, Makdisi, AIP Conf Proc 980
  • Spin dependent couplings of the Pomeron, Trueman, Phys Rev D77

N. Buttimore, SPIN2010 Jülich

analyzing power in cni region
Analyzing Power in CNI Region

Interference value tc= 8pa /stot , hadronic slope B

Bethe phase d ≈ 0.02, real-to-imaginary r≈ 0.02

Proton mass mand anomalous momentk= 1.7928

Analyses assume double-flip amplitude s are zero

N. Buttimore, SPIN2010 Julich

global fit to small t data
Global Fit to Small –t Data

 E704 (p=200 GeV/c)

RHIC (p=100 GeV/c)

☐ RHIC (√s= 200 GeV)

N. Buttimore, SPIN2010 Jülich

phase angle vs r 5
Phase Angle vs |r5|

1s

2s

3s

N. Buttimore, SPIN2010 Jülich

conclusions
Conclusions
  • When all available small –tdata are analyzed, the hadronic spin flip is small (value…)
  • The magnitude of |r5|= 0.059 ± 0.008 and the phase angle q5= 94.1 ± 1.7 degrees
  • Only statistical experimental errors are considered in this analysis. The systematic errors need to be included especially when they are comparable or larger
  • pp data at 6.8 GeV suggest sizable hadronic spin flip…
  • Systematic errors in pC data need study as the fourth quadrant spin-flip phase is very different from the second quadrant pp phase
  • ….

N. Buttimore, SPIN2010 Jülich

pc tojo fit
pCTojo Fit

N. Buttimore, SPIN2010 Julich

pc tojo contours 1 2 and 3 sigma
pCTojo Contours (1, 2 and 3 sigma)

N. Buttimore, SPIN2010 Julich

pc tojo magnitude and phase
pCTojo Magnitude and Phase?

N. Buttimore, SPIN2010 Julich

pc jinnouchi fit
pCJinnouchi Fit

N. Buttimore, SPIN2010 Julich

pc jinnouchi contours 1 2 and 3 sigma
pCJinnouchi Contours (1, 2 and 3 sigma)

N. Buttimore, SPIN2010 Julich

pc jinn magnitude and phase
pC Jinn Magnitude and Phase?

N. Buttimore, SPIN2010 Julich

analyzing power in cni region1
Analyzing Power in CNI Region
  • For the current analyses, we assume double-flip amplitude is zero
  • The Coulomb phase is 0.02
  • The rho parameter is 0.02

N. Buttimore, SPIN2010 Jülich