Exploring the Pion phenomenology within a fully covariant constituent quark model

TL;DR

This paper presents a covariant constituent quark model to evaluate vector and tensor Generalized Parton Distributions of the charged pion, providing insights into its internal structure and dynamics.

Contribution

It introduces a fully covariant model based on the Bethe-Salpeter amplitude and Mandelstam formula to compute GPDs of the pion, extending previous work to tensor distributions.

Findings

Encouraging results for the vector GPDs of the pion.

Initial calculations for tensor GPDs are presented.

The model effectively describes the pion's internal structure.

Abstract

An overview of the vector and tensor Generalized Parton Distributions for a charged pion is presented. Such observables, belonging to the set of quantities fundamental for a detailed investigation of the hadronic inner dynamics, have been evaluated within a fully covariant Constituent Quark Model, based on a proper Ansatz of the pion Bethe-Salpeter Amplitude and the Mandelstam formula for matrix elements of operators acting on relativistic composite systems. Given the very encouraging results already obtained for the vector distribution of a charged pion, the model has been extended to the tensor one, and some preliminary calculations will be illustrated.