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Transversity distributions in the nucleon in the large-N_c limit | P. Schweitzer
; D. Urbano
; M. V. Polyakov
; C. Weiss
; P. V. Pobylitsa
; K. Goeke
; | Date: |
26 Dec 2000 | Journal: | Phys.Rev. D64 (2001) 034013 | Subject: | hep-ph | Affiliation: | 1 and 3), C. Weiss , P. V. Pobylitsa (1 and 3), K. Goeke ( Ruhr U., Bochum, Porto U., St. Petersburg, INP, Regensburg U. | Abstract: | 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 $deltaar u(x) - deltaar d(x)$, appear in leading order of the $1/N_c$-expansion, while the flavor-singlet distributions, $delta u(x) + delta d(x)$ and $deltaar u(x) + deltaar d(x)$, 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 $Deltaar u (x) pm Deltaar d (x)$, 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. | Source: | arXiv, hep-ph/0101300 | Services: | Forum | Review | PDF | Favorites |
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