Eur. Phys. J. C (2024) 84: 439
https://doi.org/10.1140/epjc/s10052-024-12798-3

Regular Article - Theoretical Physics

${\overline{B}}_s^0\to D_{s1}{(2460)}^{+}{K}^{-},D_{s1}{(2536)}^{+}{K}^{-}$ and the nature of the two $D_{s1}$ resonances

¹ School of Physics, Southeast University, 210094, Nanjing, China
² Department of Physics, Guangxi Normal University, 541004, Guilin, China
³ Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004, Guilin, China
⁴ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

^c liangwh@gxnu.edu.cn

Received: 22 January 2024
Accepted: 5 April 2024
Published online: 29 April 2024

Abstract

Starting from the molecular picture for the $D_{s1}(2460)$ and $D_{s1}(2536)$ resonances, which are dynamically generated by the interaction of coupled channels, the most important of which are the $D^{\ast }K$ for the $D_{s1}(2460)$ and $D{K}^{\ast }$ for the $D_{s1}(2536)$, we evaluate the ratio of decay widths for the ${\overline{B}}_s^0\to D_{s1}{(2460)}^{+}{K}^{-}$ and ${\overline{B}}_s^0\to D_{s1}{(2536)}^{+}{K}^{-}$ decays, the latter of which has been recently investigated by the LHCb collaboration, and we obtain a ratio of the order of unity. The present results should provide an incentive for the related decay into the $D_{s1}(2460)$ resonance to be performed, which would provide valuable information on the nature of these two resonances.