In this work, we systematically investigate the heavy-strange meson systems, $D^{(*)}{K}^{(*)}/{\overline{B}}^{(*)}{K}^{(*)}$ and ${\overline{D}}^{(*)}{K}^{(*)}/B^{(*)}{K}^{(*)}$, to study possible molecules in a quasipotenial Bethe-Salpter equation approach together with the one-boson exchange model. The potential is achieved with the help of the hidden-gauge Lagrangians. Molecular states are found from all six $S$-wave isoscalar interactions of $D^{(*)}{K}^{(*)}$ or ${\overline{B}}^{(*)}{K}^{(*)}$. The charmed-strange mesons $D_{s0}^{*}(2317)$ and $D_{s1}(2460)$ can be related to the $DK$ and $D^{*}K$ states with spin parities $0^{+}$ and $1^{+}$, respectively. In the current model, the $\overline{B}{K}^{*}$ molecular state with $1^{+}$ is the best candidate of the recent observed $B_{sJ}(6158)$. Four molecular states are produced from the interactions of ${\overline{D}}^{(*)}{K}^{(*)}$ or $B^{(*)}{K}^{(*)}$. The relation between the ${\overline{D}}^{*}{K}^{*}$ molecular state with $0^{+}$ and the $X_0(2900)$ is also discussed. No isovector molecular states are found from the interactions considered. The current results are helpful to understand the internal structure of $D_{s0}^{*}(2317)$, $D_{s1}(2460)$, $X_0(2900)$, and new $B_{sJ}$ states. The experimental research for more heavy-strange meson molecules is suggested.

• Received 16 June 2021
• Revised 12 October 2021
• Accepted 14 October 2021

DOI:https://doi.org/10.1103/PhysRevD.104.094012

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society