Strong decays of ${\boldsymbol{P}}$-wave mixing heavy-light ${{\bf{1}}}^{+}$ states

Many P-wave mixing heavy-light 1+ states have not yet been discovered by experiment, while others have been discovered but without width information, or with large uncertainties on the widths. In this paper, the strong decays of the P-wave mixing heavy-light 1+ states D 0, , , B 0, and B s are studied by the improved Bethe-Salpeter (B-S) method with two conditions of mixing angle θ: one is θ = 35.3°; the other is considering a correction to the mixing angle . Valuable predictions for the strong decay widths are obtained: , , , , , , , , and . It is found that the decay widths of and are very sensitive to the mixing angle. The results will provide theoretical assistance to future experiments.