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arXiv · 0812.3294

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.

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Yunhua Zhang, Lijing Shao, Bo-Qiang Ma. 2008-12-17. Statistical effect in the parton distribution functions of the nucleon. https://doi.org/10.1016/j.physletb.2008.11.033

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