https://doi.org/10.1051/epjconf/202227110004
Analysis of coupled-channel potentials with quark and hadron degrees of freedom
Department of Physics, Tokyo Metropolitan University, Hachioji 192-0397, Japan
* e-mail: terashima-ibuki@ed.tmu.ac.jp
** e-mail: hyodo@tmu.ac.jp
Published online: 9 November 2022
The quark-antiquark potentials are known to be confining in the absence of the q̅q pair creation. On the other hand, the inter-hadron potentials vanish at large distance, because the interaction range is limited by the inverse pion mass. When the q̅q pair creation and annihilation are switched on, the channel coupling occurs between the quark and hadron degrees of freedom, modifying the behavior of potentials. In this work, we investigate the properties of the effective potentials obtained by eliminating one of the channels. We show that the coupling to the eliminated channel induces a non-local and energy dependent effective potential, irrespective of the properties of the transition potential. In addition, when the hadron channel having continuous scattering eigenstates is eliminated, the resulting inter-quark potential contains an imaginary part above the threshold to describe the decay effect into the meson pair.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
