Transverse momentum and transverse momentum distributions in the MIT bag model

The typical transverse momentum of a quark in the proton is a basic property of any QCD based model of nucleon structure. However, calculations in phenomenological models typically give rather small values of transverse momenta, which are difficult to reconcile with the larger values observed in high energy experiments such as Drell-Yan reactions and Semi-inclusive deep inelastic scattering. In this letter we calculate the leading twist transverse momentum dependent distribution functions (TMDs) using a generalization of the Adelaide group's relativistic formalism that has previously given good fits to the parton distributions. This enables us to examine the kT dependence of the TMDs in detail, and determine typical widths of these distributions. These are found to be significantly larger than those of previous calculations. We then use TMD factorization in order to evolve these distributions up to experimental scales where we can compare with data on (kT) and (k2T). Our distributions agree well with this data. (C) 2022 The Authors. Published by Elsevier B.V.

Automated summary

This study calculates the transverse momentum dependent distribution functions (TMDs) of quarks in protons. By using a generalized relativistic formalism based on the Adelaide group's theory, the calculated results are in good agreement with experimental data, and it is found that the widths of these distributions are larger than previous calculations.