Unpolarized transverse momentum-dependent densities based on the modified chiral quark model

Abstract

We investigate the transverse momentum-dependent (TMD) quark and gluon distribution functions in the modified chiral quark model (χQM). Calculations of the TMD quark and gluon densities, using the modified χQM, are carried out for the first time in this article. For this propose, we first formulate the TMD interactions that occur in the χQM at low Q 2 scale (Q 2 = 0.35 GeV2) and then obtain the TMD parton distributions inside the proton, considering these interactions. To this end, we need to compute the TMD bare quark distributions. These TMD bare densities are calculated using the solution of the Dirac equation with a squared radial symmetry potential. It is shown that our results present appropriate behavior, which is expected for the TMD parton distributions.