Reactions with pions and vector mesons in the sector of odd intrinsic parity

TL;DR

This paper develops a vector-meson Lagrangian framework using antisymmetric tensor fields to accurately describe reactions involving pions and vector mesons, focusing on odd intrinsic parity processes.

Contribution

It introduces a simple vector-meson Lagrangian with a single coupling parameter that successfully models various decay and scattering processes without additional contact terms.

Findings

Accurately describes -meson decay into three pions

Models pion transition form factors in virtual processes

Replicates three-pion production in electron-positron collisions

Abstract

The Wess-Zumino-Witten structure is supplemented by a simple vector-meson Lagrangian where the vector mesons are described by antisymmetric tensor fields. With the \rho-\omega-\pi{} coupling as the only parameter in the sector of odd intrinsic parity, i.e. without additional contact terms, one can achieve a proper description of the decay of an \omega-meson into three pions, the single- and double-virtual pion transition form factor and the three-pion production in electron-positron collisions.