Title: Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and DGLAP evolution with GLR-MQ-ZRS corrections Show Chinese title

Title: 最大熵方法中具有DGLAP演化和DGLAP演化带有GLR-MQ-ZRS修正的夸克分布的戈特弗里德求和规则

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. Show Chinese abstract

Abstract: 一种新方法通过使用Gottfried求和规则，利用最大熵方法获得核子价夸克分布，并通过执行包含GLR-MQ-ZRS修正的DGLAP方程以及原始LO/~NLO DGLAP方程来测试该分布。该测试依赖于对无极化电子-质子结构函数$F_2^{ep}$和电子-中子结构函数$F_2^{en}$的了解，以及假设Bjorken标度成立。在本工作中，通过在不同 Q$^{2}$下对结构函数积分得到的原始Gottfried求和值，在核子海轻夸克味对称性的前提下，与理论值1/3一致，无论是来自动力学演化方程的结果还是来自PDFs的全局QCD拟合结果。最后，我们给出了在核子海轻夸克味不对称性的前提下，LO / NLO DGLAP全局拟合PDFs的求和值。根据在不同$Q^{2}$下使用两种演化方程对原始Gottfried求和值的分析，我们可以知道，通过最大熵方法获得的核子价夸克分布是有效且可靠的。