Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
Abstract
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 lowenergy 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 D π (I =1 /2 ) , D K (I =0 ) , D K ¯ (I =0 ) , D_{s}K ¯ , D η and D_{s}η S waves are so strong that bound states or resonances may be generated dynamically in all these channels. The D K (I =0 ) channel corresponds to the wellknown exotic state D_{s}^{0 ∗}(2317 ) . The D K (I =0 ) channel corresponds to the wellknown exotic state D_{s}^{0 ∗}(2317 ) . The coupledchannel D π , D η and D_{s}K ¯ scattering corresponds to D_{0}^{∗}(2400 ) . The coupledchannel D π , D η and D_{s}K ¯ scattering corresponds to D_{0}^{∗}(2400 ) . 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.
 Publication:

European Physical Journal C
 Pub Date:
 January 2023
 DOI:
 10.1140/epjc/s10052023112351
 arXiv:
 arXiv:2205.02619
 Bibcode:
 2023EPJC...83...76H
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Experiment;
 High Energy Physics  Lattice;
 Nuclear Theory
 EPrint:
 22 pages, 7 figures, 4 tables