https://doi.org/10.1140/epjc/s10052-023-11235-1
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
Received:
23
June
2022
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
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