Valence Quark Distributions in Pions: Insights from Tsallis Entropy

Jingxuan Chen,Xiaopeng Wang,Yanbing Cai,Xurong Chen,Qian Wang

arXiv · Phenomenology（2024）

Cited 0|Views6

Abstract

We investigate the valence quark distributions of pions at a low initial scale (Q^2_0) through the application of Tsallis entropy, a non-extensive measure adept at encapsulating long-range correlations among internal constituents. Utilizing the maximum entropy approach, we derive the valence quark distributions at elevated resolution scales via a modified DGLAP equation, which integrates GLR-MQ-ZRS corrections for the Q^2 evolution. Our findings indicate that the resulting Q^2-dependent valence quark distributions yield an optimal fit to experimental data, with an inferred parameter value of q (q = 0.91), diverging from unity. This deviation highlights the significant role that correlations among valence quarks play in shaping our understanding of pion internal structure. Additionally, our computations of the first three moments of pion quark distributions at Q^2 = 4 GeV^2 display consistency with alternative theoretical models, thereby reinforcing the importance of incorporating valence quark correlations within this analytical framework.

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