Excited bottom-charmed mesons in a nonrelativistic quark model

Using the newly measured masses of Bc(1S) and Bc(2S) from the CMS and the $1S$ hyperfine splitting determined from the lattice QCD constrains, we calculate the Bc mass spectrum up to the $6S$ multiplet a nonrelativistic linear potential model. Furthermore, using the wave from this model we calculate the radiative transitions between the states within a constituent quark model. For the higher mass Bc states above $DB$ threshold, we also evaluate the Okubo-Zweig-Iizuka (OZI) two-body strong decays with the ³P₀ model. Our study indicates besides there are large potentials for the observations of the low-lying states below the $DB$ threshold via their radiative transitions, some mass Bc states, such as Bc(2³P₂), Bc(2³D₁), Bc(3³D₁),(4³P₀), and the $1F$-wave Bc states, might be first observed in their strong decay channels $DB$, DB^* or D^*B at the LHC for their narrow widths.