Regular Article - Theoretical Physics
Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
School of Physics and Center of High Energy Physics, Peking University, 100871, Beijing, China
Accepted: 17 January 2023
Published online: 25 January 2023
We calculate the complete T matrices of the elastic light pseudoscalar meson and heavy meson scattering to the third order in heavy meson chiral perturbation theory. We determine the low-energy constants by fitting the phase shifts and scattering lengths from lattice QCD simulations simultaneously and predict the phase shifts at the physical meson masses. The phase shifts in the , , , , and S waves are so strong that bound states or resonances may be generated dynamically in all these channels. The channel corresponds to the well-known exotic state . The channel corresponds to the well-known exotic state . The coupled-channel , and scattering corresponds to . The coupled-channel , and scattering corresponds to . We also predict the scattering lengths and scattering volumes and observe good convergence in the scattering volumes. Our calculations provide a possibility to accurately investigate the exotic state in the light pseudoscalar meson and heavy meson interactions.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.