Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory

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 D π (I =1 /2 ) , D K (I =0 ) , D K ¯ (I =0 ) , D_sK ¯ , D η and D_sη 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 well-known exotic state D_s^{0 ∗}(2317 ) . The D K (I =0 ) channel corresponds to the well-known exotic state D_s^{0 ∗}(2317 ) . The coupled-channel D π , D η and D_sK ¯ scattering corresponds to D₀^∗(2400 ) . The coupled-channel D π , D η and D_sK ¯ scattering corresponds to D₀^∗(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.