Determining the width of $D_{s0}^{*}(2317)$ by using $T_{c\bar{s}0}^{a}(2327)$ in a molecular frame

Abstract

Motivated by the recent observation of the open-charm tetraquark $T_{c\bar{s}0}^{a}(2327)$ by the LHCb Collaboration, as well as results from Lattice QCD calculations, we consider the $T_{c\bar{s}0}^{a}(2327)$ and the $D_{s0}^{*}(2317)$ as $DK$ molecular states, with $I(J^{P})$ equal to $1(0^{+})$ and $0(0^{+})$, respectively, and we investigate their strong decay behavior in an effective Lagrangian approach. Within the model parameter range, we can reproduce the $T_{c\bar{s}0}^{a}(2327)$ experimental decay width, with the assumption that the $D_{s}^{+}\pi^{0}$ is the dominant decay channel of the $T_{c\bar{s}0}^{a+}(2327)$. In the same parameter range, we can establish a stringent limitation for the decay width of the $D_{s0}^{*}(2317)$, which is $(63.0-209)~\mathrm{keV}$ being significantly smaller than the PDG upper limit value.