In this work we calculate the mass spectrum and decay constants of ground and excited states of heavy-light P-wave mesons such as 1⁺⁺ and 1⁺⁻, with quark composition, \(c\overline {u}, c\overline {s}, b\overline {u}, b\overline {s}\), and \(b\overline {c}\) in the framework of a QCD motivated Bethe-Salpeter equation (BSE) by making use of the exact treatment of the spin structure \((\gamma _{\mu }\bigotimes \gamma _{\mu })\) in the interaction kernel, In this 4 × 4 BSE framework, the coupled Salpeter equations for \(Q\overline {q}\) are first solved for the confining part of interaction, and are shown to decouple under heavy-quark approximation. Then the one-gluon-exchange interaction is perturbatively incorporated, leading to their mass spectral equations. The analytic forms of wave functions obtained from these equations are then used for calculation of leptonic decay constants of ground and excited states of 1⁺⁺, and 1⁺⁻ as a test of these wave functions and the over all framework.

在这项工作中，我们计算了重光P波介子（例如 1 ⁺⁺和 1 ^{+− ）的}基态和激发态的质谱和衰减常数，具有夸克成分，\(c\overline {u}, c\overline {s}, b\overline {u}, b\overline {s}\)和\(b\overline {c}\)在 QCD 激励的 Bethe-Salpeter 方程 (BSE) 的框架中通过利用相互作用核中自旋结构\((\gamma _{\mu }\bigotimes \gamma _{\mu })\) 的精确处理，在这个 4 × 4 BSE 框架中，\(Q\上划线 {q}\)首先求解相互作用的限制部分，并显示在重夸克近似下解耦。然后将单胶子交换相互作用微扰地结合起来，导致它们的质谱方程。然后从这些方程得到的波函数的解析形式用于1态和激发态轻子衰减常数的计算⁺⁺，和1 ^{+ -}作为这些波函数的测试和在所有的框架。