The European Physical Journal C ( IF 4.2 ) Pub Date : 2020-10-15 , DOI: 10.1140/epjc/s10052-020-08517-3 Fernando E. Serna , Roberto Correa da Silveira , J. J. Cobos-Martínez , Bruno El-Bennich , Eduardo Rojas
The ladder kernel of the Bethe–Salpeter equation is amended by introducing a different flavor dependence of the dressing functions in the heavy-quark sector. Compared with earlier work this allows for the simultaneous calculation of the mass spectrum and leptonic decay constants of light pseudoscalar mesons, the \(D_u\), \(D_s\), \(B_u\), \(B_s\) and \(B_c\) mesons and the heavy quarkonia \(\eta _c\) and \(\eta _b\) within the same framework at a physical pion mass. The corresponding Bethe–Salpeter amplitudes are projected onto the light front and we reconstruct the distribution amplitudes of the mesons in the full theory. A comparison with the first inverse moment of the heavy meson distribution amplitude in heavy quark effective theory is made.
中文翻译:
重介子和夸克族在光前的分布幅度
Bethe–Salpeter方程的梯形内核通过引入重夸克扇区中的敷料函数的不同风味依赖性进行了修改。与早期工作相比,这可以同时计算光伪标量介子\(D_u \),\(D_s \),\(B_u \),\(B_s \)和\( B_c \)介子和重夸克尼亚语\(\ eta _c \)和\(\ eta _b \)在相同的框架内,只有一个物理介子质量。相应的Bethe–Salpeter幅度被投影到光前,我们在整个理论中重建了介子的分布幅度。对重夸克有效理论中重介子分布幅度的第一反矩进行了比较。