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 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 Dpi (I=1/2), DK(I=0), D{bar{K}}(I=0), D_s{bar{K}}, Deta and D_seta S waves are so strong that bound states or resonances may be generated dynamically in all these channels. The DK(I=0) channel corresponds to the well-known exotic state D_{s0}^{*}(2317). The DK(I=0) channel corresponds to the well-known exotic state D_{s0}^{*}(2317). The coupled-channel Dpi , Deta and D_s{bar{K}} scattering corresponds to D_{0}^{*}(2400). The coupled-channel Dpi , Deta and D_s{bar{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.