Statistical effect in the parton distribution functions of the nucleon

Abstract

A new and simple statistical approach is performed to calculate the parton distribution functions (PDFs) of the nucleon in terms of light-front kinematic variables. We do not put in any extra arbitrary parameter or corrected term by hand, which guarantees the stringency of our approach. Analytic expressions of the $x$-dependent PDFs are obtained in the whole $x$ region [0,1], and some features, especially the low-$x$ rise, are more agreeable with experimental data than those in some previous instant-form statistical models in the infinite-momentum frame (IMF). Discussions on heavy-flavored PDFs are also presented.

16 latex pages, 10 figures, to appear in PLB

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Cited by in corpus (16)

• Flavor Asymmetry of the Nucleon Sea and the Five-Quark Components of the Nucleons
• Flavor Structure of the Nucleon Sea
• Nuclear EMC Effect in a Statistical Model
• The transverse momentum dependent statistical parton distributions revisited
• Sea quark contents of octet baryons
• Light flavor asymmetry of nucleon sea
• Quark sea asymmetries of the octet baryons
• Nucleon structure functions and longitudinal spin asymmetries in the chiral quark constituent model
• Quark flavor distribution functions for the octet baryons in the chiral quark constituent model
• Electromagnetic and Axial-Vector Form Factors of the Quarks and Nucleon
• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai
• The Flavor Structure of the Nucleon Sea
• Parton densities with the quark linear potential in the statistical approach
• Estimating proton radius and proportion of other non-perturbative components in the proton by the Maximum Entropy Method
• Octet Quark Contents from SU(3) Flavor Symmetry
• Parton distribution functions and nuclear EMC effect in a statistical model