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Intrinsic transverse momentum and the Sivers effect #. Intrinsic transverse momentum of quarks Why it is actual Cahn effect Single target spin asymmetries Sivers effect Collins effect. Aram Kotzinian Torino University & INFN On leave in absence from YerPhI, Armenia and JINR, Russia.
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Intrinsic transverse momentum and the Sivers effect # • Intrinsic transverse momentum of quarks • Why it is actual • Cahn effect • Single target spin asymmetries • Sivers effect • Collins effect Aram Kotzinian Torino University & INFN On leave in absence from YerPhI, Armeniaand JINR, Russia • In collaboration with M. Anselmino, M. Boglione, U. D'Alesio, F. Murgia & A. Prokudin AramKotzinian
SIDIS AramKotzinian
Intrinsic transverse momentum role Gluon polarization measurement LP QCDCompton PGF R strongly depends on the intrinsic and fragmentation AramKotzinian
Unpolarized SIDIS & Cahn effect AramKotzinian
approximation Ji et al: QCD factorization holds for AramKotzinian
Comparison with data EMC, 280 GeV muon SIDIS AramKotzinian
Hadron transverse momentum dependence AramKotzinian
Collins Effect Side view Front view Up-Down asymmetry = 0 Nonzero Left-Right asymmetry azimuthal modulation of transversely polarized quark FF Schaefer-Teryaev SR: hadrons transverse momenta are compensated in the quark fragmentation AramKotzinian
Sivers Effect Azimuthal modulation of quark transverse momentum for a transversely polarized nucleon Unpolarized DF: Polarized DF: Quark transverse momentum is compensated by that of target remnant AramKotzinian
SSA Analysis by Anselmino et al, E704 Only Collins effect Only Sivers effect Analyzing power: STAR AramKotzinian
HERMES SSA One can describe the data using only Collins effect Schweitzer & Bacchetta: there is a room for Sivers effect Efremov, Goeke &Schweitzer: one can neglect the Sivers effect AramKotzinian
Parameterization for Sivers effect AramKotzinian
Anselmino et al for E704 SSA u-quark d-quark Our parameterization: opposite sign & high values at small x AramKotzinian
Results: p on P & D targets AramKotzinian
Results: K on D target AramKotzinian
Quark intrinsic transverse momentum in LEPTO - Generate virtual photon – quark scattering in collinear configuration: - Before - After - Generate intrinsic transverse momentum of quark (Gaussian) - Rotate - Generate uniform azimuthal distribution of quark - Rotate - Generate quark azimuthal angle according to Sivers distribution AramKotzinian
Modified LEPTO MC predictions for JLAB SSA Opposite signs of asymmetry in the target and current fragmentation In principle, one can check origin of by measuring it in the TFR AramKotzinian
Electron Ion Collider AramKotzinian
Modified LEPTO MC predictions for EIC SSA Opposite signs of asymmetry in the target and current fragmentation In principle, one can check origin of by measuring it in the TFR AramKotzinian
End of Story? Zoology of FracFun AramKotzinian
Conclusions • Intrinsic transverse momentum in simple parton model approach allows to describe • Hadron transverse momentum dependence in SIDIS • Cahn effect • HERMES SSA data on longitudinally polarized target • It is important to investigate the SSA in the TFR • Sivers effect? • Collins effect from target remnant hadronization? • We need more precise data on transversely polarized targets AramKotzinian