Work

Valence quark distributions of pions: insights from Tsallis entropy*

Year: 2025

Type: article

Abstract: We investigate the valence quark distributions of pions at a low initial scale ( ) using Tsallis entropy, a non-extensive measure that effectively captures long-range correlations among internal constituents. Utilizing the maximum entropy approach, we adopt two distinct functional forms and fit experimental data using the elegant GLR-MQ-ZRS evolution equation to derive the model parameters. Our findings indicate that the resulting valence quark distributions provide an optimal fit to the experimental data, with q values deviating from unity. This deviation indicates that correlations among valence quarks play a significant role in shaping understanding of the internal structures of pions. Additionally, our computations of the first three moments of the pion quark distributions at GeV 2 display consistency with other theoretical models, thereby reinforcing the importance of incorporating valence quark correlations within this analytical framework.

Source: Chinese Physics C

DOI: 10.1088/1674-1137/ae0998

Authors: Jingxuan 京萱 Chen 陈, Xiaopeng 晓鹏 Wang 王, Yanbing 燕兵 Cai 蔡, Xurong 旭荣 Chen 陈, Qian 倩 Wang 王

Institutions: Chinese Academy of Sciences, Institute of Modern Physics, Guizhou University of Finance and Economics, South China Normal University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,410

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China