Constituent Quarkstructur and $F^{p}_{2}$ Data

TL;DR

This paper calculates the partonic structure of a constituent quark at leading order in QCD and compares it with HERA data, highlighting the need to include gluonic components for finer accuracy.

Contribution

First calculation of constituent quark structure in leading order QCD and its application to proton structure functions with implications for gluonic contributions.

Findings

Qualitative agreement with $F_2^p$ data across wide kinematic range

Identification of the need for an inherent gluon component

Good fit to experimental data over $x$ and $Q^2$ ranges

Abstract

We have calculated the partonic structure of a constituent quark in the leading order in QCD for the first time and examined its ipmlications on the proton structure function, $F^{p}_{2}, data from HERA. It turned out that although qualitatively it agrees with the data but for a finer refinement we need to consider an {\it{inherent}} component due to gluons which act as the binding agent between constituents quarks in the proton. Good agreement with nucleon structure function, $F_{2}(x,Q^{2})$, for a wide range of $x=[10^{-6} ,1]$ and $Q^{2}=[0.5, 5000]$ $GeV^{2}$ is reached. {\bf{PACS Numbers 13.60 Hb, 12.39.-x, 13.88 +e, 12.20.Fv}}