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.

Highlights

  • One of the goals in fundamental physics is to search for the detail information of the nucleon structure

  • Mac and Ugaz [5] incorporated first order QCD corrections, and afterwards Bhalerao et al [11,12,13,14] introduced finite-size correction and got more fitting results; they both referred to the infinite-momentum frame (IMF)

  • The low-x behavior of these parton distribution functions is different from those in some previous instant-form statistical models in the infinite-momentum frame and our results are more close to the reality

Read more

Summary

Introduction

One of the goals in fundamental physics is to search for the detail information of the nucleon structure. As can be speculated, with partons bound in the wee volume of the nucleon, the dynamic, and the statistical properties, for example, the Pauli exclusion principle, should have important effect on the PDFs. Cleymans and Thews [3,4], as pioneers, started with the transition rate of scattering in the framework of temperature dependent field theory and explored a statistical way to generate compatible PDFs. Mac and Ugaz [5] incorporated first order QCD corrections (the perturbative term turned out to be a sizable fraction of the statistical term), and afterwards Bhalerao et al [11,12,13,14] introduced finite-size correction and got more fitting results; they both referred to the infinite-momentum frame (IMF).

The statistical approach
Results
Further discussions
Summary
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.