General behavior of near-threshold hadron scattering for exotic hadrons
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.
Cite
@article{arxiv.2503.01088,
title = {General behavior of near-threshold hadron scattering for exotic hadrons},
author = {Katsuyoshi Sone and Tetsuo Hyodo},
journal= {arXiv preprint arXiv:2503.01088},
year = {2025}
}
Comments
8 pages, 1 figure, Proceedings of The XVIth Quark Confinement and the Hadron Spectrum Conference (QCHSC2024), 19th-24th August, 2024