The contribution of the $\rho^0 - \omega$ interference to the violation of the isospin invariance in the $\pi N$ system

TL;DR

This paper investigates how the interference between rho-zero and omega mesons might contribute to isospin symmetry breaking in pion-proton elastic scattering, challenging the common assumption that it dominates in nucleon-nucleon interactions.

Contribution

It assesses the potential role of $ ho^0 - \omega$ interference in isospin violation specifically within $\pi^\pm p$ elastic scattering, providing new insights into symmetry breaking mechanisms.

Findings

The $ ho^0 - \omega$ interference may influence isospin violation in pion-proton scattering.

The mechanism's impact differs from its established role in nucleon-nucleon systems.

The study offers a new perspective on isospin symmetry breaking in meson-baryon interactions.

Abstract

It is generally believed that the $\rho^0 - \omega$ interference is the dominant mechanism underlying the violation of the isospin invariance in the $N N$ system. Assessed in this paper is the role which the mechanism might play in a potential departure from the isospin symmetry in the two $\pi^\pm p$ elastic-scattering reactions.