T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model

TL;DR

This paper calculates twist-two T-odd GTMDs of the pion in a scalar spectator model, exploring their dependence on various kinematic variables and also investigating quasi-TMDs and quasi-GPDs.

Contribution

It provides the first detailed calculation of T-odd GTMDs of the pion within a scalar spectator framework, including their dependence on multiple kinematic parameters.

Findings

GTMDs depend on $x$, $|oldsymbol{k}_T|$, $\xi$, and $|oldsymbol{ riangle}_T|$

Quasi-TMDs and quasi-GPDs of the pion are also analyzed

Results enhance understanding of pion's parton structure in different frameworks

Abstract

Generalized transverse momentum dependent parton distributions (GTMDs), as mother funtions of transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs), encode the most general parton structure of hadrons. We calculate four twist-two time reversal odd GTMDs of pion in a scalar spectator model. We study the dependence of GTMDs on the longitudinal momentum fraction $x$ carried by the active quark and the transverse momentum $|\vec k_T|$ for different values of skewness $\xi$ defined as the longitudinal momentum transferred to the proton as well as the total momentum $|\vec\Delta_T|$ transferred to the proton. In addition, the quasi-TMDs and quasi-GPDs of pion have also been investigated in this paper.