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Analytic Derivation of the Quark Distribution Functions Near x=1 by Statistical Methods

2001/05/17 by Hai Lin, Lin, Hai
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0105172

8 pages, LaTex

arxiv created 2001/05/17 · openalex publication_date 2001/05/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we made a statistical approach on the thermodynamic structure of the nucleon and its quark distributions. We assume that the nucleon is a thermodynamic system of quarks and gluons. After we derived the quark density of states from the Dirac Equation, we calculated each quark's chemical potential, associating it with the quark's spin distribution. By using the sum rule of the longitudinal momentum, we obtain a function showing the relation between the temperature, radius and mass of the nucleon. The nucleon's radius is determined by the total energy minimal principle, and thus the temperature is also known. Finally, we deduced the quark distribution functions near x=1, and the results are in agreement with the experimental data.

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