Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules

In this article, we calculate the contributions of the vacuum condensates up to dimension-6 including the O(α ₛ) corrections to the quark condensates in the operator product expansion, then we study the masses and decay constants of the pseudoscalar, scalar, vector, and axial-vector heavy-light mesons with the QCD sum rules in a systematic way. The masses of the observed mesons (D,D^*) , (Dₛ,Dₛ^*) , (D₀^*(2400),D₁(2430)) , (Dₛ₀^*(2317),Dₛ₁(2460)), (B,B^*) , (Bₛ,Bₛ^*) can be well reproduced, while the predictions for the masses of (B^*₀, B₁) and (B^*ₛ₀, Bₛ₁) can be confronted with the experimental data in the future. We obtain the decay constants of the pseudoscalar, scalar, vector, and axial-vector heavy-light mesons, which have many phenomenological applications in studying the semi-leptonic and leptonic decays of the heavy-light mesons.