Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and DGLAP evolution with GLR-MQ-ZRS corrections

TL;DR

This paper introduces a new method combining maximum entropy, DGLAP evolution, and GLR-MQ-ZRS corrections to test valence quark distributions via the Gottfried sum rule, confirming the method's effectiveness and consistency with theoretical expectations.

Contribution

It presents a novel approach integrating maximum entropy with advanced QCD evolution equations to validate valence quark distributions from structure functions.

Findings

Gottfried sum rule value aligns with 1/3 under light-quark flavor symmetry.

Valence quark distributions from maximum entropy are validated as effective.

The method confirms consistency between evolution equations and global QCD fits.

Abstract

A new method to test the valence quark distribution of nucleon obtained from the maximum entropy method using Gottfried sum rule by performing DGLAP equations with the GLR-MQ-ZRS corrections and original LO~/~NLO DGLAP equations are outlined. The test relies on a knowledge of the unpolarized electron-proton structure function $F_2^{ep}$ and electron-neutron structure function $F_2^{en}$ and the assumption that Bjorken scaling is satisfied. In this work, the original Gottfried summation value obtained by the integrals of the structure function at different Q$^{2}$ is in accordance with the theoretical value 1/3 under the premise of light-quark flavour symmetry of nucleon sea, whether it is the result from the dynamics evolution equations or the result from global QCD fits of PDFs. Finally, we present the summation value of the LO / NLO DGLAP global fits of PDFs under the premise of light-quark flavour asymmetry of nucleon sea. According to analysis the original Gottfried summation value with two evolution equations at different $Q^{2}$, we can know that the valence quark distributions of nucleon obtained by the maximum entropy method are effective and reliable.