Modifications on the Properties of $D^*_{s0}(2317)$ as Four-quark State in Thermal Medium

TL;DR

This study uses Thermal QCD Sum Rules to analyze how the properties of the $D^*_{s0}(2317)$ resonance, considered as a four-quark state, change with temperature, providing insights into its structure and behavior in hot medium.

Contribution

It applies Thermal QCD Sum Rules to investigate the thermal behavior of $D^*_{s0}(2317)$ as a four-quark state, comparing molecular and diquark-antidiquark scenarios.

Findings

Mass and pole residue are stable up to 100 MeV temperature.

Significant changes (~91%) in mass and residue occur near critical temperature.

Results do not conclusively distinguish between molecular and diquark-antidiquark structures.

Abstract

Since the low mass of $D^*_{s0}(2317)$ has still been a problem to the conventional quark model, one can consider other options regarding as multi-quark system. Therefore we investigate the scalar open-charm state $D^*_{s0}(2317)$ by Thermal QCD Sum Rules (TQCDSR) method using the two-point correlation function together with contributions of the non-perturbative condensates up to dimension six. Deriving and numerically analyzing thermal mass and pole residue sum rules, we accomplish the effects on the properties of $D^*_{s0}(2317)$ resonance in hot medium. Our numerical evaluations indicate that the variations in mass and pole residue values are stable through the growing temperature up to $T\cong100~\mathrm{MeV}$, but they begin to fall after this point. At critical temperature, the values of mass and pole residue change up to $91\%, 70\% $ of their values in vacuum in the molecular scenario and $ 91\%, 69\% $ in the diquark-antidiquark scenario. Our results does not give any definite information as to whether $D^*_{s0}(2317)$ resonance has molecular or diquark-antidiquark structure since they are very close to each other to differentiate them. Besides, we predict the hadronic parameters of the bottom partner of the $D^*_{s0}(2317)$ resonance in both molecular and diquark-antidiquark pictures. This bound state is worth investigating in future experiments. Also the detailed search of hot medium effects on the hadronic parameters of open-charm meson $D^*_{s0}(2317)$ and the bottom partner could have some implications to define the QCD phase diagram obtained from heavy-ion collision experiments. Moreover these results can be useful in distinguishing conventional quark model mesons from exotica.