Electric, Magnetic and Quadrupole Form Factors and Charge Radii of Vector Mesons: From Light to Heavy Sector in a Contact Interaction

TL;DR

This paper investigates the electromagnetic form factors and charge radii of light and heavy vector mesons using a contact interaction model, revealing mass-dependent charge radii and consistent magnetic moments across meson types.

Contribution

It provides a comprehensive analysis of vector meson form factors with a contact interaction approach, extending previous work on pseudoscalar and scalar mesons to include vector mesons.

Findings

Charge radii decrease with increasing quark mass.

Magnetic moments are independent of meson mass.

Quadrupole moments are negative, indicating oblate charge distribution.

Abstract

We present a detailed survey of electric, magnetic and quadrupole form factors of light and heavy spin-1 vector mesons. It complements our analogous analysis of the electromagnetic form factors of pseudoscalar and scalar mesons reported earlier. Our formalism is based upon the Schwinger-Dyson equations treatment of a vector $\times$ vector contact interaction and the Bethe-Salpeter equation description of relativistic two-body bound states. We compute the form factors, associated moments and charge radii, comparing these quantities to earlier theoretical studies and experimental results if and when possible. We also investigate the quark-mass dependence of the charge radii and find the anticipated hierarchy such that it decreases with increasing dressed quark masses. In addition, our analysis shows that the magnetic moment is independent of the mass of the light and heavy mesons. Our results agree with most measurements reported earlier, finding a negative quadrupole moment, implying the charge distribution is oblate.