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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 & Dip di Fisica , Trieste, Italy . Introduction. Proton proton collisions probe analyticity and spin effects

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Forward Collisions and Spin Effects in Evaluating Amplitudes

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  1. Forward Collisions and Spin Effects in Evaluating Amplitudes N. Akchurin, Texas Tech University, USA N. Buttimore, Trinity College Dublin, Ireland A. Penzo, INFN & Dip diFisica, Trieste, Italy

  2. Introduction • Proton proton collisions probe analyticity and spin effects • A dispersion relation violation may suggest a new mass scale • Hadronicspin effects appear in t = 0 fermionfermion scattering • Seek the spin implications when evaluating transition amplitudes • Study forward spin dependence for cross section normalisation N. Buttimore, SPIN2010 Jülich

  3. Small Angle Collisions of Protons and Ions The level of hadronic spin dependence is important in the context of • 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. N. Buttimore, SPIN2010 Julich

  6. Global Fit to Small –tData  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… • pC data …. • …. 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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