The experimentally known Bc states are all below Lid Magnet open bottom-charm threshold, which experience three main decay modes, and all induced by weak interaction.In this work, we investigate the mass spectrum and strong decays of the Bc(3S) states, which just above the threshold, in the Bethe-Salpeter formalism and P03 model.The numerical estimation gives M(Bc(31S0))=7273MeV, M(Bc⁎(33S1))=7304MeV, Upholstered Full Bed Γ(Bc(31S0)→B⁎D)=26.02−2.21+2.
33MeV, Γ(Bc⁎(33S1)→BD)=3.39−0.26+0.27MeV, Γ(Bc⁎(33S1)→B⁎D)=14.77−1.
33+1.40MeV and Γ(Bc⁎(33S1)→BD⁎)=6.14−0.54+0.58MeV.
Compared with previous studies in non-relativistic approximation, our results indicate that the relativistic effects are notable in Bc(3S) exclusive strong decays.According to the results, we suggest to find the Bc(3S) states in their hadronic decays to B and D mesons in experiment, like the LHCb.