Near-threshold hadron scattering with effective field theory

TL;DR

This paper explores how effective field theory can improve the understanding of near-threshold exotic hadron scattering, addressing limitations of the Flatté amplitude in coupled-channel scenarios.

Contribution

It introduces an effective field theory approach to analyze threshold effects in exotic hadron scattering, overcoming constraints of traditional Flatté amplitude models.

Findings

Effective field theory clarifies threshold behavior in hadron scattering.

Identifies limitations of Flatté amplitude near thresholds.

Provides a framework for more accurate scattering length determination.

Abstract

When an exotic hadron locates near the threshold with the channel couplings, the internal structure of the exotic hadron is related to the scattering length. To incorporate the threshold effect, the Flatt\'{e} amplitude has been often used to determine the scattering length. It is however known that an additional constraint is imposed on the Flatte amplitude near the threshold. We discuss this problem by using the effective field theory for the coupled-channel scattering.