The assignments of the $B_s$ mesons within the screened potential model and $^3P_0$ model

TL;DR

This paper models the mass spectrum and decay properties of $B_s$ mesons using the screened potential and $^3P_0$ models, providing explanations for recent LHCb states and predictions for future experiments.

Contribution

It offers a novel combined application of the screened nonrelativistic quark model and $^3P_0$ model to interpret recent experimental $B_s$ meson states and predict their decay properties.

Findings

Identifies $B_{sJ}(6064)$ and $B_{sJ}(6114)$ as $B_s(1^3D_3)$ and $B_s(1^3D_1)$.

Explains $B_{sJ}(6109)$ and $B_{sJ}(6158)$ as $B'_{s2}(1D)$ and $B_{s1}(2P)$.

Suggests $B_{s1}(5830)$ as $B_{s1}(1P)$.

Abstract

We investigate the mass spectrum and the decay properties of the $B_s$ mesons within the screened nonrelativistic quark model and the $^3P_0$ model. Our results suggest that the $B_{sJ}(6064)$ and $B_{sJ}(6114)$ states, as the first solution of the recently LHCb measurements, could be explained as the $B_s(1^3D_3)$ and $B_s(1^3D_1)$, respectively. In addition, the $B_{sJ}(6109)$ and $B_{sJ}(6158)$ states, as the second solution of the LHCb measurements, could be explained as the $B'_{s2}(1D)$ and $B_{s1}(2P)$, respectively. Meanwhile, the $B_{s1}(5830)$ could be interpreted as the candidate of the $B_{s1}(1P)$. We also calculated the decay properties of the other excited $B_s$ mesons with the predicted masses, which should be helpful for the experimental searching in future.