Study on $0^{+}$ states with open charm in unitarized heavy meson chiral approach

Abstract

We calculate the scattering amplitudes of Goldstone bosons off the pseudoscalar D-mesons in unitarized heavy meson chiral approach. The low energy constants appearing in $\mathcal{O}(p^2)$ chiral Lagrangian are determined by fitting lattice simulations on $S$-wave scattering lengths. $D_{s0}^{\ast }(2317)$ is obtained as a bound state in $(S,I)=(1,0)$ $DK$ channel. Possible bound states or resonance states in other channels are investigated as well. The quark mass dependence of the mass and binding energy of $D_{s0}^{\ast }(2317)$ is also investigated, which indicates predominately $DK$ molecular nature.

Comments: 10 pages, 2 figures