The pion wave function in covariant light-front dynamics

TL;DR

This paper investigates the relativistic pion wave function using covariant light-front dynamics, calculating its components and analyzing various physical observables to understand the impact of relativistic effects.

Contribution

It introduces a covariant formulation of the pion wave function in light-front dynamics and evaluates its components and physical observables within a one-gluon exchange model.

Findings

Relativistic components significantly influence observables.

Good agreement with experimental data across momentum scales.

Full relativistic structure improves description of pion properties.

Abstract

The structure of the pion wave function in the relativistic constituent quark model is investigated in the explicitly covariant formulation of light-front dynamics. We calculate the two relativistic components of the pion wave function in a simple one-gluon exchange model and investigate various physical observables: decay constant, charge radius, electromagnetic and transition form factors. We discuss the influence of the full relativistic structure of the pion wave function for an overall good description of all these observables, including both low and high momentum scales.