Coupled channel effects for the bottom-strange mesons

Abstract

We have calculated the mass spectrum of $B_s$ mesons within a nonrelativistic potential model considering coupled channel effects, and the corresponding strong decay widths within the ${}^3{P}_0$ model using the numerically calculated wave functions. By comparing with the available experimental data, we find that the states $B_s$, $B_s^{\ast }$, $B_{s1}(5830)$, and $B_{s2}^{\ast }(5840)$ could be interpreted as the $B_s(1^1{S}_0)$, $B_s(1^3{S}_1)$, $B_s(1P^{\prime })$, and $B_s(1^3{P}_2)$, respectively. Although the quantum numbers of the newly observed $B_s(6064)$ and $B_s(6158)$ states have not been determined, our results support the assignments of $B_s(1^3{D}_3)$ and $B_s(1^3{D}_1)$ for them. Our predictions are helpful in searching for the bottom-strange meson in future experiments.