Unpolarized and polarized quark distributions in the large-Nc limit

Details Unpolarized and polarized quark distributions in the large-Nc limit Unpolarized and polarized quark distributions in the large-Nc limit

1997-03-25

arxiv.org/abs/hep-ph/9703420v1

Phys.Rev. D56 (1997) 4069-4083

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 p., LaTeX, 6 figures included using epsf

Scientific paper

10.1103/PhysRevD.56.4069

The isosinglet unpolarized and isovector polarized twist-2 quark distributions of the nucleon at low normalization point are calculated in the large-Nc limit. The nucleon is described as a soliton of the effective chiral theory. We derive the expressions for the distribution functions in the large-Nc limit starting from their definition as numbers of partons carrying momentum fraction x in the infinite momentum frame. We develop a numerical method for computation of the quark and antiquark distributions as sums over the quark single-particle levels in the pion field of the soliton. The contributions of the discrete bound-state level as well as the Dirac continuum are taken into account. The quark- and antiquark distributions obtained explicitly satisfy all general requirements. Results are in reasonable agreement with parametrizations of the data at low normalization point.

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