Electromagnetic Decays of Vector Mesons in a Covariant Model

TL;DR

This paper introduces a covariant model for electromagnetic decays of vector mesons, applicable to both light and heavy sectors, using Bethe-Salpeter vertices and Mandelstam-like formulas, with parameters fixed via Light-Front Dynamics comparisons.

Contribution

It presents a novel covariant approach for vector meson decays, integrating Bethe-Salpeter and Mandelstam methods, with parameters calibrated against Light-Front Hamiltonian results.

Findings

Decays constants computed and compared with existing data.

Probability of valence component estimated.

Preliminary results demonstrate model viability.

Abstract

A fully covariant model for describing the electromagnetic decay of Vector Mesons, both in light and in heavy sectors, is presented. The main ingredients of our approach are i) an Ansatz for the Bethe-Salpeter vertex for Vector Mesons, and ii) a Mandelstam-like formula for the electromagnetic decay constant. The free parameters of our approach are fixed through a comparison with the transverse momentum distribution obtained within a Light-Front Hamiltonian Dynamics framework with constituent quarks. Preliminary results for both the decays constants and the probability of the valence component are shown.