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

TL;DR

This paper investigates the nature of $0^+$ open charm states using unitarized heavy meson chiral theory, identifying $D_{s0}^{*}(2317)$ as a $DK$ molecular bound state and exploring its quark mass dependence.

Contribution

It provides a novel unitarized heavy meson chiral approach to study $0^+$ states and determines the molecular nature of $D_{s0}^{*}(2317)$ through lattice-fitted low energy constants.

Findings

$D_{s0}^{*}(2317)$ is a $DK$ bound state.

The approach successfully fits lattice scattering lengths.

The $D_{s0}^{*}(2317)$ shows a $DK$ molecular nature.

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. $D_{s0}^{*}(2317)$ 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 $D_{s0}^{*}(2317)$ is also investigated, which indicates predominately $DK$ molecular nature.