T-odd Transverse Momentum Distributions in Quark Models

TL;DR

This paper develops a formalism for calculating T-odd transverse momentum dependent parton distributions and applies it to specific models of proton structure, comparing results and discussing phenomenological implications.

Contribution

It introduces a general formalism for T-odd TMDs and applies it to two different quark models, providing comparative insights and analysis of phenomenological relevance.

Findings

Results for Sivers and Boer-Mulders functions in both models are compared.

The models' compliance with the Burkardt sum rule is analyzed.

Discussion on the phenomenological status of T-odd TMDs is included.

Abstract

We present a general formalism for the evaluation of time-reversal odd parton distributions. This formalism is applied to the evaluation of the two T-odd TMDs allowed at the twist-2 level, i.e., the Sivers and the Boer-Mulders functions. We have performed the calculation for two different models of proton structure: a non relativistic constituent quark model and the MIT bag model. The results obtained in both models are compared. So are the two T-odd functions. We comment on the fulfilment of the Burkardt sum rule as well as on the current status of T-odd TMDs in phenomenology.