Spectroscopic Assignments of the Excited $B$-Mesons

Abstract: Excited $B$-mesons have been observed by the D0, CDF, LHCb and CMS experiments. We use the predictions of the relativized quark model to make quark model spectroscopic assignments for these states. We identify the $B_2^*(5747)$ and $B_1(5721)$ as the $B_2^*[1^3P_2]$ and $B_1[1P_1]$ states and the $B_{s2}^*(5840)$ and $B_{s1}(5830)$ as the $B_{s2}^*[1^3P_2]$ and $B_{s1}[1P_1]$ states. More information is needed to identify the $B_J(5970)$ and $B_J(5840)$ states and we suggest a number of measurements to make this identification: the determination of their $J^P$ quantum numbers and either confirming or ruling out their decays to the $B\pi$ final state. With the current information available we believe it most likely that the $B_J(5970)$ is the $B^*[2^3S_1]$ state, with the $B_J(5840)$ needing confirmation.