Transverse Momentum and Transverse Momentum Distributions in the MIT Bag Model

Abstract

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 $k_T$ 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 $⟨k_T⟩$ and $⟨k_T^2⟩$. Our distributions agree well with this data.

17 pages, 4 figures. Final version, accepted for publication in Physics Letters B

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Cited by in corpus (8)

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• Flavor dependence of unpolarized quark Transverse Momentum Distributions from a global fit
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors $N\to \Delta$
• The resolution to the problem of consistent large transverse momentum in TMDs
• Valence quark distribution of light $\rho$ and heavy $J/\psi$ vector mesons in light-cone quark model
• Flavor asymmetry from the non-perturbative nucleon sea
• Parton model description of quark and antiquark correlators and TMDs