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Forward Collisions and Spin Effects in Evaluating Amplitudes

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. Proton proton collisions probe analyticity and spin dependence

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Forward Collisions and Spin Effects in Evaluating Amplitudes

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  1. Forward Collisionsand Spin Effects inEvaluating Amplitudes N. Akchurin, Texas Tech University, USA N. Buttimore, Trinity College Dublin, Ireland A. Penzo, INFN & Universitàdi Trieste, Italy

  2. Introduction • Proton proton collisions probe analyticity and spin dependence • A dispersion relation violation may suggest a new mass scale • Hadronicspin effects appear in t = 0 fermionfermion scattering • Study forward spin dependence for cross section normalisation N Buttimore

  3. 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

  4. 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

  5. Analyzing Power in CNI Region Interference value t_c = - 8 \pi \alpha / \sigma_\mathrm{tot} hadronic slope $B$, Bethe phase $\delta \approx 0.02$, real to imaginary ratio $\rho \approx 0.02$, proton mass $m$ and anomalous moment $\kappa = 1.7928$ N. Buttimore, SPIN2010 Julich

  6. Global Fit to Small –t Data  E704 (p=200 GeV/c) RHIC (p=100 GeV/c) ☐ RHIC (√s= 200 GeV) N. Buttimore, SPIN2010 Jülich

  7. Phase Angle vs |r5| 1s 2s 3s N. Buttimore, SPIN2010 Jülich

  8. 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 studyas the fourth quadrant spin-flip phase is very different from the second quadrant pp phase • …. N. Buttimore, SPIN2010 Jülich

  9. Overlay Alek6.8GeV (do we need this?) maybe save it as a back up N. Buttimore, SPIN2010 Julich

  10. pCTojo Fit N. Buttimore, SPIN2010 Julich

  11. pCTojo Contours (1, 2 and 3 sigma) N. Buttimore, SPIN2010 Julich

  12. pCTojo Magnitude and Phase? N. Buttimore, SPIN2010 Julich

  13. pCJinnouchi Fit N. Buttimore, SPIN2010 Julich

  14. pCJinnouchi Contours (1, 2 and 3 sigma) N. Buttimore, SPIN2010 Julich

  15. pC Jinn Magnitude and Phase? N. Buttimore, SPIN2010 Julich

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