The omega to rho pi transition and omega to rho 3 pi decay

TL;DR

This paper uses a Quark Level Linear Sigma Model to evaluate the omega to rho pi transition and omega to 3 pi decay, providing estimates for the coupling constant and analyzing interference effects.

Contribution

It introduces a calculation of the omega to rho pi transition and omega to 3 pi decay within the QLσM, highlighting the role of contact terms and interference effects.

Findings

Estimated coupling constant g_{ωρπ} = (10.33 - 14.75) GeV^{-1}

Contact term generated for ω → 3π decay

Interference effects are significant despite small contact contribution

Abstract

We evaluate the omega to rho pi transition and the omega to 3 pi decay using a Quark Level Linear Sigma Model ($QL\sigma M$). We obtain $g^{QL\sigma M}_{\omega\rho\pi}= (10.33 - 14.75) GeV^{-1}$ to be compared with other model dependent estimates averaging to $g_{\omega\rho\pi} = 16 GeV^{-1}$. We show that in the $QL\sigma M$ a contact term is generated for the $\omega \to 3 \pi$ decay. Although the contact contribution by itself is small, the interference effects turn out to be important.