Strong decays of D₃^*(2760), D_s3^*(2860), B₃^*, and B_s3^*

In this paper, we study the OZI-allowed two-body strong decays of 3^- heavy-light mesons. Experimentally the charmed D₃^*(2760) and the charm-strange D_s3^*(2860) states with these quantum numbers have been discovered. For the bottomed B(5970) state, which was found by the CDF Collaboration recently, its quantum number has not been decided yet and we assume it is a 3^- meson in this paper. The theoretical prediction for the strong decays of bottom-strange state B_s3^* is also given. The relativistic wave functions of 3^- heavy mesons are constructed and their numerical values are obtained by solving the corresponding Bethe-Salpeter equation with instantaneous approximation. The transition matrix is calculated by using the PCAC and low energy theorem, following which the decay widths are obtained. For D₃^*(2760) and D_s3^*(2860), the total strong decay widths are 72.6 and 47.6 MeV, respectively. For B₃^* with M = 5978 MeV and B_s3^* with M = 6178 MeV, their strong decay widths are 22.9 and 40.8 MeV, respectively. (orig.)