Polarized parton distribution functions in the valon model framework, using QCD fits to Bernstein polynomials

Abstract

In this paper polarized valon distribution is derived from unpolarized valon distribution. In driving polarized valon distribution some unknown parameters exist which must be determined by fitting to experimental data. Here we have used Bernstein polynomial method to fit QCD predictions for the moments of $g_1^p$ structure function, to suitably the constructed appropriate average quantities of the E143 and SMC experimental data. After calculating polarized valon distributions and all parton distributions in a valon, polarized parton density in a proton are available. The results are used to evaluate the spin components of proton. It turns out that the results of polarized structure function are in good agreement with all available experimental data on $g_{1}^p$ of proton.