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arXiv · 2503.01088

General behavior of near-threshold hadron scattering for exotic hadrons

Katsuyoshi Sone·Tetsuo Hyodo
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Abstract

We discuss the general behavior of the near-threshold scattering amplitude with channel couplings. The signal of the exotic hadrons near the threshold may manifest as a dip structure in the cross section originated from a zero point of the scattering amplitude. Such a dip structure by the zero point cannot be reproduced by the Flatt\'{e} amplitude which is widely used for the analysis of exotic hadrons, because of the constraints imposed on the Flatt\'{e} amplitude near the threshold. In this work, we propose the General amplitude which can describe the dip structure near the threshold, in contrast to the Flatt\'{e} amplitude. Moreover, we numerically study the behavior of the near-threshold cross section in relation to the zero point.

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Katsuyoshi Sone, Tetsuo Hyodo. 2025-03-03. General behavior of near-threshold hadron scattering for exotic hadrons. https://arxiv.org/abs/2503.01088

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