Diresonance in production and scattering of heavy mesons

TL;DR

This paper investigates the effects of closely spaced narrow resonances, called diresonances, on heavy meson production and scattering amplitudes, revealing fixed ratios in pole contributions due to unitarity and analyticity.

Contribution

It introduces the concept of diresonance in heavy meson interactions and derives fixed ratios for pole contributions based on unitarity and analyticity constraints.

Findings

Production amplitudes in different channels behave similarly with energy.

The ratio of coefficients for each pole contribution is fixed at -1.

Resonance coupling to common channels leads to specific amplitude structures.

Abstract

We consider the production and scattering amplitudes of heavy mesons in a situation, where there are two closely spaced narrow resonances, which structure we refer to as a diresonance. Assuming strong overlapping of the resonances coupled to common channels, it is found, using the unitarity and analyticity constraints, that the production amplitudes in different channels should have similar behavior with energy. In particular the ratio of the coefficients for each pole contribution to the production amplitude is fixed at -1.