Strong decays of P-wave mixing heavy-light 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 D⁰, D^±, D_s^±, B⁰, B^± 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 θ=35.3°+θ₁. Valuable predictions for the strong decay widths are obtained:Γ(D₁^'0)=232 MeV, Γ(D₁⁰)=21.5 MeV, Γ(D₁^'±)=232 MeV, Γ(D₁^±)=21.5 MeV, Γ(D_s1^'±)=0.0101 MeV, Γ(D_s1^±)=0.950 MeV, Γ(B₁^'±)=263 MeV, Γ(B₁^±)=16.8 MeV, Γ(B_s1')=0.01987 MeV and Γ(B_s1)=0.412 MeV. It is found that the decay widths of D_s1^± and B_s1 are very sensitive to the mixing angle. The results will provide theoretical assistance to future experiments.