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.

arXiv comment37 pages and 14 figures

References in corpus (66)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Light-Front Holographic QCD and Emerging Confinement
• Light-Front Holography: A First Approximation to QCD
• Nucleon Form Factors from Generalized Parton Distributions
• Transverse-momentum distributions in a diquark spectator model
• Generalized parton correlation functions for a spin-1/2 hadron
• Light-Cone Wavefunction Representation of Deeply Virtual Compton Scattering
• Parton distributions and lattice QCD calculations: a community white paper
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• Radiative Transitions in Charmonium from Lattice QCD
• Parton distributions from deep-inelastic-scattering data
• Transverse momentum dependent parton distributions in a light-cone quark model
• Vector meson form factors and their quark-mass dependence
• Generalized parton correlation functions for a spin-0 hadron
• Generalized parton distributions in the deuteron
• Quark-meson-diquark model for two-color QCD
• Numerical solution of $Q^2$ evolution equations in a brute-force method
• Deep inelastic leptoproduction of spin-one hadrons
• Introduction to GPDs and TMDs
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Numerical solution of Q^2 evolution equations for polarized structure functions
• Electromagnetic Structure of the $\rho$ Meson in the Light-Front Quark Model
• Deeply Virtual Meson Production on the nucleon
• Deep Electroproduction of Photons and Mesons on the Deuteron
• A light front quark-diquark model for the nucleons
• Exclusive ${\rho }^0$ electroproduction on the proton at CLAS
• Parton Distribution Functions of Heavy Mesons on the Light Front
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• Proper definition and evolution of generalized transverse momentum distributions
• Light Meson Form Factors at near Physical Masses
• Contact interaction analysis of pion GTMDs
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Tensor-polarized structure function $b_1$ in the standard convolution description of the deuteron
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• Transverse pion structure beyond leading twist in constituent models
• Structure functions in the polarized Drell-Yan processes with spin-1/2 and spin-1 hadrons: II. parton model
• NJL model derived from QCD
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• On $\gamma {\gamma }^{\ast }$ production of two ${\rho }^0$ mesons
• Numerical solution of Q^2 evolution equation for the transversity distribution Delta_T q
• Transversity generalized parton distributions for the deuteron
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Tomography of light mesons in light-cone quark model
• Dressed Quark Mass Dependence of Pion and Kaon Form Factors
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Quark spin and orbital angular momentum from proton GPDs
• T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism
• Light-front wavefunctions of mesons by design
• Light-front holographic $\rho$-meson distributions in the momentum space
• Meson Electro-Magnetic Form Factors in an Extended Nambu--Jona-Lasinio model including Heavy Quark Flavors
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Angular momentum content of the rho-meson in lattice QCD
• Polynomiality sum rules for generalized parton distributions of spin-1 targets
• Off-shell generalized parton distributions and form factors of the pion
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Pion Light-Cone Wave Functions and Light-Front Quark Model
• Ratios of helicity amplitudes for exclusive ${\rho }^0$ electroproduction on transversely polarized protons
• Polarized GPDs and structure functions of $\rho$ meson
• Unpolarized generalized parton distributions of light and heavy vector mesons
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• 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