夸克分布DGLAP演化和DGLAP演化加GLR-MQ-ZRS修正的最大熵方法Gottfried求和定则
Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and DGLAP evolution with GLR-MQ-ZRS corrections
摘要：
概述了一种利用Gottfried求和规则的最大熵方法，通过执行具有GLR-MQ-ZRS修正的DGLAP方程和原始LO~/~NLO DGLAP方程来检验核子价夸克分布的新方法。该测试依赖于非极化电子-质子结构函数$F_2^{ep}$和电子-中子结构函数$F_2^{en}$的知识以及满足Bjorken标度的假设。在核子海的轻夸克味对称性的前提下，对不同Q $^{2}$下的结构函数进行积分得到的Gottfried和值，无论是动力学演化方程的结果，还是PDF的QCD整体拟合的结果，都与理论值1/3一致。最后给出了在核子海的轻夸克味不对称性前提下，光子密度函数的LO / NLO DGPG全局拟合的求和值。通过对两个演化方程在不同$Q^{2}$下的Gottfried和值的分析，可以看出用最大熵方法得到的核子价夸克分布是有效和可靠的。
英文摘要：
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.
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