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

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.

37 pages and 14 figures

References in corpus (23)

• Light-Front Holography: A First Approximation to QCD
• Transverse-momentum distributions in a diquark spectator model
• Generalized parton correlation functions for a spin-1/2 hadron
• Vector meson form factors and their quark-mass dependence
• Generalized parton correlation functions for a spin-0 hadron
• A light front quark-diquark model for the nucleons
• Light Meson Form Factors at near Physical Masses
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• NJL model derived from QCD
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Dressed Quark Mass Dependence of Pion and Kaon Form Factors
• T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism
• Light-front wavefunctions of mesons by design
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Angular momentum content of the rho-meson in lattice QCD
• Off-shell generalized parton distributions and form factors of the pion
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Unpolarized generalized parton distributions of light and heavy vector mesons
• Transverse Momentum and Transverse Momentum Distributions in the MIT Bag Model
• Transverse densities and generalized parton distributions of $\rho$ meson in light front quark model
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions