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

Abstract

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