Coupled Channel Effects for the Charmed-Strange Mesons

TL;DR

This paper systematically calculates the spectra and decays of $D_s$ mesons using a coupled channel approach with the $^3P_0$ model, achieving good agreement with experiments and predicting a new molecular state.

Contribution

It introduces a coupled channel framework with the $^3P_0$ model and Gaussian Expansion Method to accurately describe $D_s$ mesons, including predictions for new states.

Findings

Model agrees well with experimental spectra and decays.

Identifies $D_s(2317)$, $D_s(2460)$, $D_s(2536)$, $D_s(2860)$, $D_s(3040)$ as excited states.

Predicts a $D^*K^*$ molecular state at 2894 MeV.

Abstract

We make a systematic calculation of the spectra and hadronic decays of the $D_s$ system in a coupled channel framework, where the unquenched effects are induced by the $^3P_0$ model. In the calculation, the wave functions are obtained by using a nonrelativistic potential model and are handled precisely with Gaussian Expansion Method. Even though the fitting mainly focuses on the spectrum, our model agrees well with the experiments on both the spectra and the hadronic decays, suggesting that the coupled channel effect could result in a reasonable and coherent description of the $D_s$ mesons. Based on the calculation, we give a detailed analysis on various aspects of the excited states, especially $D_s(2317), D_s(2460), D_s(2536), D_s(2860), D_s(3040)$. We also predict that $D_s(2{}^3P_0)$ should be a $D^*K^*$ dominant molecule with mass $2894$~MeV, which is only $5$~MeV below the $D^*K^*$ threshold.