Valence quark distribution of light $\rho$ and heavy $J/\psi$ vector mesons in light-cone quark model

TL;DR

This paper investigates the valence quark structure of light rho and heavy J/psi mesons using a light-cone quark model, deriving form factors and PDFs, and comparing results with theoretical and lattice data.

Contribution

It introduces a method to compute GPDs, form factors, and PDFs of mesons within a light-cone quark model, including evolution to higher energy scales.

Findings

Form factors agree with theoretical and lattice data.

Calculated PDFs match model predictions after evolution.

Results follow similar trends as existing models.

Abstract

In this work, we have investigated the valence quark structure of light $\rho$ and heavy $J/\psi$ 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.