New formula for a resonant scattering near an inelastic threshold

TL;DR

This paper introduces a new unitary parameterization to better interpret resonance production data near inelastic thresholds, addressing limitations of the Flatte formula.

Contribution

It proposes a unitary parameterization satisfying generalized Watson's theorem as an improvement over the Flatte formula for analyzing experimental data.

Findings

Flatte formula is inadequate for precision data near inelastic thresholds.

A new unitary parameterization is proposed.

The new approach satisfies generalized Watson's theorem.

Abstract

We show that the Flatte formula is not adequate to interpret precision data on a resonance production near an inelastic threshold. A unitary parameterization, satisfying generalized Watson's theorem for the production amplitudes, is proposed to replace the Flatte parameterization in phenomenological analyses of experimental data.