Transversity distributions in the nucleon in the large-N_c limit

Details Transversity distributions in the nucleon in the large-N_c limit Transversity distributions in the nucleon in the large-N_c limit

2001-01-26

arxiv.org/abs/hep-ph/0101300v1

Phys.Rev. D64 (2001) 034013

Physics

High Energy Physics

High Energy Physics - Phenomenology

45 pages, 16 figures

Scientific paper

10.1103/PhysRevD.64.034013

We compute the quark and antiquark transversity distributions in the nucleon at a low normalization point of 600 MeV in the large-$N_c$ limit, where the nucleon can be described as a soliton of an effective chiral theory (chiral quark-soliton model). The flavor-nonsinglet distributions, $\delta u(x) - \delta d(x)$ and $\delta\bar u(x) - \delta\bar d(x)$, appear in leading order of the $1/N_c$-expansion, while the flavor-singlet distributions, $\delta u(x) + \delta d(x)$ and $\delta\bar u(x) + \delta\bar d(x)$, are non-zero only in next-to-leading order. The transversity quark and antiquark distributions are found to be significantly different from the longitudinally polarized distributions $\Delta u (x) \pm \Delta d (x)$ and $\Delta\bar u (x) \pm \Delta\bar d (x)$, respectively, in contrast to the prediction of the naive non-relativistic quark model. We show that this affects the predictions for the spin asymmetries in Drell-Yan pair production in transversely polarized pp and ppbar collisions.

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