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 to the phase shifts and scattering lengths from the lattice QCD simulations simultaneously and predict the phase shifts at the physical meson masses. The phase shifts in the Dπ(I = 1/2), DK(I = 0), D K(I = 0), Ds K, Dη and Dsη 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 coupled-channel Dπ, Dη and Ds K scattering corresponds to the D * 0 (2400). We also predict the scattering lengths and scattering volumes and observe a good convergence in the P waves and scattering volumes. Our calculations provide a possibility to accurately investigate the exotic state in the light pseudoscalar meson and heavy meson interactions.

Faddeev fixed-center approximation to the $$D\bar{D}K$$ system and the hidden charm $$K_{c\bar{c}}(4180)$$ state

“…Indeed, the effective DK interaction is strong. Within the chiral dynamics the scalar D * s0 (2317) meson could be explained as a bound DK state [24][25][26][27][28][29][30][31].…”