A covariant investigation of Neutral Vector Mesons: dynamical properties and electromagnetic decay widths

TL;DR

This paper presents a covariant relativistic model for neutral vector mesons, analyzing their properties and electromagnetic decay widths using a Bethe-Salpeter approach and light-front dynamics, with preliminary results on distributions and decay constants.

Contribution

It introduces a fully covariant model for neutral vector mesons that combines Bethe-Salpeter vertex ansatz with a Mandelstam-like decay width formula, calibrated against light-front phenomenology.

Findings

Preliminary transverse-momentum distributions obtained.

Parton distribution functions calculated.

Electromagnetic decay constants estimated.

Abstract

A simple, but fully-covariant model for describing neutral Vector Mesons, in both light and heavy sectors, is briefly illustrated. The main ingredients of our relativistic constituent model are i) an Ansatz for the Bethe-Salpeter vertex for Vector Mesons, and ii) a Mandelstam-like formula for the electromagnetic decay widths. The free parameters of our approach are fixed through a comparison with the valence transverse-momentum distribution, $n(k_\perp)$, obtained within phenomenological Light-Front Hamiltonian Dynamics models reproducing the mass spectra. Preliminary results for the transverse-momentum distributions, the parton distribution and the electromagnetic decay constants are shown.