Chiral dynamics of many pion systems: the rho to 4 pi and omega to 5 pi decays

TL;DR

This paper analyzes the decay processes of rho and omega mesons into multiple pions using chiral dynamics, providing new excitation curves and decay width estimates aligned with experimental data.

Contribution

It introduces the first excitation curves of rho to 4 pi decays and estimates omega decay widths into 2 and 3 pion final states using a chiral Lagrangian framework.

Findings

First rho resonance excitation curves in rho to 4 pi decay.

Estimated partial widths for omega to 2 and 3 pion decays.

Comparison with CMD-2 experimental data.

Abstract

Based on the Weinberg lagrangian or, in a new language, the lagrangian of hidden local symmetry added with the term induced by the anomalous lagrangian of Wess and Zumino, the dynamics of the decays rho to 4 pi and omega to 5 pi is considered. The excitation curves of rho resonance in its decay to 4 pi are obtained for the first time. The comparison with recent CMD-2 data is given. The partial widths of the decays omega to 2 pi^+ 2 pi^- pi^0 and omega to pi^+ pi^-3 pi^0 which can be measured on colliders with luminosity 10^{33}{cm }^{-2}{s}^{-1} are evaluated for the first time.