General behavior of near-threshold hadron scattering for exotic hadrons

Fuente: arXiv
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Autori principali: Sone, Katsuyoshi, Hyodo, Tetsuo
Natura: Preprint
Pubblicazione: 2025
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author Sone, Katsuyoshi
Hyodo, Tetsuo
author_facet Sone, Katsuyoshi
Hyodo, Tetsuo
contents 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 Flatté amplitude which is widely used for the analysis of exotic hadrons, because of the constraints imposed on the Flatté 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 Flatté amplitude. Moreover, we numerically study the behavior of the near-threshold cross section in relation to the zero point.
format Preprint
id arxiv_https___arxiv_org_abs_2503_01088
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle General behavior of near-threshold hadron scattering for exotic hadrons
Sone, Katsuyoshi
Hyodo, Tetsuo
High Energy Physics - Phenomenology
Nuclear Theory
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 Flatté amplitude which is widely used for the analysis of exotic hadrons, because of the constraints imposed on the Flatté 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 Flatté amplitude. Moreover, we numerically study the behavior of the near-threshold cross section in relation to the zero point.
title General behavior of near-threshold hadron scattering for exotic hadrons
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2503.01088