Coupled channel effects for the bottom-strange mesons

TL;DR

This paper calculates the mass spectrum and decay widths of bottom-strange mesons considering coupled channel effects, providing theoretical support for observed states and predictions for future experimental searches.

Contribution

It introduces a combined approach using a nonrelativistic potential model and the $^3P_0$ decay model to analyze bottom-strange mesons with coupled channel effects.

Findings

Identifies known bottom-strange mesons with specific quantum states.

Supports assignments of new states as $B_s(1^3D_3)$ and $B_s(1^3D_1)$.

Provides predictions to guide future experimental searches.

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 $^3P_0$ model using the numerically calculated wave functions. By comparing with the available experimental data, we find that the states $B_s$, $B_s^*$, $B_{s1}(5830)$, and $B_{s2}^*(5840)$ could be interpreted as the $B_s(1^1S_0)$, $B_s(1^3S_1)$, $B_s(1P^\prime)$, and $B_s(1^3P_2)$, 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 $B_s(1^3D_3)$ and $B_s(1^3D_1)$ for them. Our predictions are helpful in searching for the bottom-strange meson in future experiments.