A vector meson dominance model for pions

TL;DR

This paper develops a renormalizable vector meson dominance model for pions with a specific vacuum symmetry, providing predictions for scattering parameters that align with experimental data.

Contribution

It introduces a novel renormalizable non-abelian vector meson dominance model coupled to pions with SO(4,3) symmetry, advancing theoretical understanding.

Findings

Predictions for p-p scattering lengths match experiments

Model exhibits SO(4,3) vacuum symmetry

Tree-level results are in reasonable agreement with data

Abstract

A renormalizable non-abelian vector meson dominance model coupled to pions is constructed which exhibits a ${\rm SO}\left(4,3\right)$ vacuum symmetry. Tree-level predictions for $p$-$p$ scattering lengths and slopes at leading order are in reasonable agreement with experiment.