Measuring the finite width and unitarity corrections to the phi-omega mixing amplitude

TL;DR

This paper calculates the phase of phi-omega interference in e^+e^- reactions near the phi peak, showing it is largely model-independent and consistent with omega resonance tail predictions, with implications for mixing amplitude corrections.

Contribution

It provides a model-independent calculation of the phi-omega interference phase and estimates the omega width at the phi mass, advancing understanding of mixing corrections.

Findings

Interference phase agrees with omega tail extension predictions

Omega width at phi mass is about 200 MeV

Phase calculation is largely model-independent

Abstract

It is shown that the phase of phi-omega interference in the reaction e^+e^- -->pi^+ pi^- pi^0 at energies close to the phi(1020) peak can be calculated in a way that is practically independent of the model of phi-omega mixing. The magnitude of the presently measured interference phase, still of poor accuracy, is in agreement with the predictions based on extending the omega(782) resonance tail from the peak position to the phi mass upon assuming the omega -->rho pi -->3pi model. The calculated omega width at the phi mass is about 200 MeV.