Eur. Phys. J. C (2025) 85: 1367
https://doi.org/10.1140/epjc/s10052-025-15100-1

Regular Article - Theoretical Physics

Strong decays of the $D{K}^{\ast }$ and $\overline{D}K_{}^{\ast }$ molecular states

¹ School of Physics, Southeast University, 210094, Nanjing, People’s Republic of China
² INFN, Sezione di Genova, Via Dodecaneso 33, 16146, Genoa, Italy
³ Institute of Applied Physics and Computational Mathematics, 100088, Beijing, People’s Republic of China
⁴ Tecnologico de Monterrey, Escuela de Ingenieria y Ciencias, General Ramon Corona 2514, 45138, Zapopan, Mexico
⁵ Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, People’s Republic of China

^a This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 30 September 2025
Accepted: 20 November 2025
Published online: 1 December 2025

Abstract

Inspired by the abundant structure near the threshold of the $D_{}^{(\ast )}K_{}^{(\ast )}/{\overline{D}}^{(\ast )}K_{}^{(\ast )},$ we estimate the strong decay properties of the $T_{c\overline{s}1}^{f/a}$ and $T_{\overline{c}\overline{s}1}^{f/a}$ with $I(J^P)=0/1(1^{+})$ in $DK_{}^{\ast }$ and $\overline{D}K_{}^{\ast }$ molecular scenarios in the present paper. By employing the effective Lagrangian approach, the widths of the processes $T_{c\overline{s}1}^f\to D_{}^{\ast }K,D_s^{\ast }\eta ,DK\pi ,$$T_{c\overline{s}1}^a\to D_{}^{\ast }K,D_s^{\ast }\pi ,DK\pi ,$ and $T_{\overline{c}\overline{s}1}^{f/a}\to {\overline{D}}^{\ast }K,\overline{D}K\pi$ are estimated. Considering the present estimations, we propose to search for $T_{c\overline{s}1}^{f/a}$ states in $D_{}^{\ast }K$ and $D_s^{\ast }\pi /D_s^{\ast }\eta$ mass invariant spectra. Their ratios may serve as an important test of the molecular scenario.