Valence quark distribution of light $ρ$ and heavy $J/ψ$ vector mesons in light-cone quark model

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Main Authors: Tanisha, Puhan, Satyajit, Yadav, Anurag, Dahiya, Harleen
Format: Preprint
Published: 2025
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author Tanisha
Puhan, Satyajit
Yadav, Anurag
Dahiya, Harleen
author_facet Tanisha
Puhan, Satyajit
Yadav, Anurag
Dahiya, Harleen
contents In this work, we have investigated the valence quark structure of light $ρ$ and heavy $J/ψ$ vector mesons using the light-cone quark model through unpolarized quark generalized parton distributions (GPDs). By solving the quark-quark correlator, we have represented the quark GPDs in the form of light-front wave function (LFWFs). The charge, magnetic, and quadrupole form factors of these particles have been derived from the unpolarized quark GPDs and compared with the available theoretical predictions and lattice simulation data. The structure functions corresponding to the Rosenbluth scattering cross section of these mesons have also been calculated and compared with the available NJL model predictions. The results of our calculations are found to follow a similar trend as the other model results. We have also calculated the parton distribution functions (PDFs) of these particles in the forward limit of GPDs. The calculated PDFs have also been evolved to 5 GeV $^2$ through next to next leading order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolutions.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09213
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Valence quark distribution of light $ρ$ and heavy $J/ψ$ vector mesons in light-cone quark model
Tanisha
Puhan, Satyajit
Yadav, Anurag
Dahiya, Harleen
High Energy Physics - Phenomenology
In this work, we have investigated the valence quark structure of light $ρ$ and heavy $J/ψ$ vector mesons using the light-cone quark model through unpolarized quark generalized parton distributions (GPDs). By solving the quark-quark correlator, we have represented the quark GPDs in the form of light-front wave function (LFWFs). The charge, magnetic, and quadrupole form factors of these particles have been derived from the unpolarized quark GPDs and compared with the available theoretical predictions and lattice simulation data. The structure functions corresponding to the Rosenbluth scattering cross section of these mesons have also been calculated and compared with the available NJL model predictions. The results of our calculations are found to follow a similar trend as the other model results. We have also calculated the parton distribution functions (PDFs) of these particles in the forward limit of GPDs. The calculated PDFs have also been evolved to 5 GeV $^2$ through next to next leading order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolutions.
title Valence quark distribution of light $ρ$ and heavy $J/ψ$ vector mesons in light-cone quark model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.09213