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

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.

arXiv comment6 pages, 3 figures

References in corpus (18)

• Parton distributions for the LHC
• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• New parton distributions for collider physics
• Implications of CTEQ global analysis for collider observables
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• NNLO global parton analysis
• Flavor Asymmetry of Antiquark Distributions in the Nucleon
• Flavor Asymmetry of Light Quarks in the Nucleon Sea
• A new approach to parton recombination in a QCD evolution equation
• A new modified Altarelli-Parisi evolution equation with parton recombination in proton
• Global study of nuclear modifications on parton distribution functions
• Precision Studies of the NNLO DGLAP Evolution at the LHC with CANDIA
• Comparison of the Gottfried and Adler sum rules within the large-Nc expansion
• Valence quark distributions of the proton from maximum entropy approach
• Order ${\alpha }_s^2$ perturbative QCD corrections to the Gottfried sum rule
• Applications of a nonlinear evolution equation I: the parton distributions in the proton
• Evaluation of the isospin asymmetry of the nucleon structure functions with CLAS++
• On Reconciling Gottfried Sum Rule Violation with Cabibbo Theory