The strong decays of orbitally excited [formula omitted] mesons by improved Bethe–Salpeter method

Abstract

We calculate the masses and the strong decays of orbitally excited states Bs0, Bs1′, Bs1 and Bs2 by the improved Bethe–Salpeter method. The predicted masses of Bs0 and Bs1′ are MBs0=5.723±0.280 GeV, MBs1′=5.774±0.330 GeV. We calculate the isospin symmetry violating decay processes Bs0→Bsπ and Bs1′→Bs⁎π through π0–η mixing and get small widths. Considering the uncertainties of the masses, for Bs0 and Bs1′, we also calculate the OZI allowed decay channels: Bs0→BK¯ and Bs1′→B⁎K¯. For Bs1 and Bs2, the OZI allowed decay channels Bs1→B⁎K¯, Bs2→BK¯ and Bs2→B⁎K¯ are studied. In all the decay channels, the reduction formula, PCAC relation and low energy theorem are used to estimate the decay widths. We also obtain the strong coupling constants GBs0Bsπ, GBs0BK¯, GBs1′Bs⁎π, FBs1′Bs⁎π, GBs1′B⁎K¯, FBs1′B⁎K¯, GBs1B⁎K¯, FBs1B⁎K¯, GBs2BK¯ and GBs2B⁎K¯.