The assignments of the $$B_s$$ B s mesons within the screened potential model and $$^3P_0$$ 3 P 0 model

Abstract

Abstract We investigate the mass spectrum and the decay properties of the $$B_s$$ B s mesons within the screened nonrelativistic quark model and the $$^3P_0$$ 3 P 0 model. Our results suggest that the $$B_{sJ}(6064)$$ B sJ ( 6064 ) and $$B_{sJ}(6114)$$ B sJ ( 6114 ) states, as the first solution of the recently LHCb measurements, could be explained as the $$B_s(1^3D_3)$$ B s ( 1 3 D 3 ) and $$B_s(1^3D_1)$$ B s ( 1 3 D 1 ) , respectively. In addition, the $$B_{sJ}(6109)$$ B sJ ( 6109 ) and $$B_{sJ}(6158)$$ B sJ ( 6158 ) states, as the second solution of the LHCb measurements, could be explained as the $$B_{s2}^\prime (1D)$$ B s 2 ′ ( 1 D ) and $$B_{s1}(2P)$$ B s 1 ( 2 P ) , respectively. Meanwhile, the $$B_{s1}(5830)$$ B s 1 ( 5830 ) could be interpreted as the candidate of the $$B_{s1}(1P)$$ B s 1 ( 1 P ) . We also calculated the decay properties of the other excited $$B_s$$ B s mesons with the predicted masses, which should be helpful for the experimental searching in future.