论文标题
在伯特 - 盐方程的框架中,重型轴向夸克尼亚的质谱和衰减常数
Mass spectra and decay constants of heavy-light axial quarkonia in the framework of Bethe-Salpeter equation
论文作者
论文摘要
在这项工作中,我们计算了地面的质谱和衰减常数和重度$ p $ - 波及其诸如$ 1^{++} $和$ 1^{+ - } $之类的杂物,带有Quark Composition,$ c \ overline {u} $ b \覆盖{c} $在QCD动机的贝尔特 - 盐等方程(BSE)的框架中,通过使用旋转结构的确切处理$(γ_μ\bigotimesγ_μ)在交互核中,在此$ 4 \ times $ 4 \ bse bse框架中,$ bse salpeter for $ q cougpled s line n $ q quppline $ q q \ q q \ q q相互作用,并显示出在重夸克近似下将其解次结转。然后,单链交换相互作用是扰动的,导致其质谱方程。然后,将从这些方程获得的波函数的分析形式用于计算$ 1^{++} $的地面和激发态的Leptonic衰减常数,以及$ 1^{+ - } $作为这些波函数的测试和所有框架。
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 $(γ_μ\bigotimesγ_μ)$ in the interaction kernel, In this $4\times 4$ 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.