Comparison of analytical solution of spin-dependent DGLAP equations for g_1^{NS}(x, t) at small x by two methods

Abstract

Analytical solutions for the non-singlet polarized parton distribution are obtained by solving the DGLAP equation by two analytical methods: Lagranges Method and Method of Characteristics.The relative merits of the two methods are discussed while comparing with HERMES data in the small x region.We also calculate the partial spin fractions carried by small x, nonsinglet partons.

Comments: 15 pages, 9 figures