Elastic meson form factors in a unified scheme

TL;DR

This paper revisits the calculation of meson elastic form factors using a contact interaction model, determining quark and meson masses and extracting charge radii for various meson types.

Contribution

It provides a unified scheme for calculating meson form factors and charge radii within the contact interaction framework, incorporating dressed quark and meson masses.

Findings

Calculated charge radii for multiple meson types.

Analyzed elastic scattering process for mesons with different quark flavors.

Revised meson form factor extraction method.

Abstract

The extraction of elastic form factors for mesons in the context of the contact interaction model is revisited in this manuscript. The dressed masses of quarks and mesons are determined through the gap and Bethe-Salpeter equations. The generic elastic scattering process $M\gamma \to M$ is studied for the meson $M$ formed of two differently flavored quarks. The charge radii of scalar, pseudoscalar, vector and axial-vector mesons are also extracted by virtue of explicit calculation of the meson elastic form factors.