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Main Authors: Dwibedi, Ashutosh, Puhan, Satyajit, Ghosh, Sabyasachi, Dahiya, Harleen
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.24921
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author Dwibedi, Ashutosh
Puhan, Satyajit
Ghosh, Sabyasachi
Dahiya, Harleen
author_facet Dwibedi, Ashutosh
Puhan, Satyajit
Ghosh, Sabyasachi
Dahiya, Harleen
contents We calculate the in-medium valence quark distribution of the pion immersed in a finite baryon density using the light-cone quark model. The medium-modified pion properties are obtained by using the constituent quark mass-dependent light cone wave functions. To obtain the constituent quark masses at finite baryon density, we employ the two-flavor Nambu--Jona-Lasinio model. We primarily focus on the in-medium electromagnetic form factor, distribution amplitude, and the parton distribution function of the pion. The parton distribution functions are also evolved from the model scale to a perturbative scale using next to leading order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations. Furthermore, our calculated form factors are compared with available experimental measurements and lattice quantum chromodynamics studies. We also examine the Mellin moments derived from our parton distribution functions in comparison with existing extractions and theoretical model predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24921
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach
Dwibedi, Ashutosh
Puhan, Satyajit
Ghosh, Sabyasachi
Dahiya, Harleen
High Energy Physics - Phenomenology
Nuclear Theory
We calculate the in-medium valence quark distribution of the pion immersed in a finite baryon density using the light-cone quark model. The medium-modified pion properties are obtained by using the constituent quark mass-dependent light cone wave functions. To obtain the constituent quark masses at finite baryon density, we employ the two-flavor Nambu--Jona-Lasinio model. We primarily focus on the in-medium electromagnetic form factor, distribution amplitude, and the parton distribution function of the pion. The parton distribution functions are also evolved from the model scale to a perturbative scale using next to leading order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations. Furthermore, our calculated form factors are compared with available experimental measurements and lattice quantum chromodynamics studies. We also examine the Mellin moments derived from our parton distribution functions in comparison with existing extractions and theoretical model predictions.
title Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2512.24921