论文标题
通过$ M1 $辐射夸大的夸大Quarkonia，以及$ E1 $的转换，在伯特 - 盐等方程的框架中
Radiative decays of heavy-light quarkonia through $M1$, and $E1$ transitions in the framework of Bethe-Salpeter equation
论文作者
论文摘要
在这项工作中，我们研究了通过M1和E1过渡的重型夸克尼亚的辐射衰变，涉及具有两个强子顶点的夸克 - 三角形图，并且在BSE-CIA中很难评估。我们已经表达了过渡幅度，$ m_ {fi} $是涉及$ ++ $的所有可能组合的术语的线性叠加，以及$ - $ - $ - $ - $ - $ $ - $ - $ $ - $ - $ - $ - $ $组成的salpeter波函数，最初和初始强体的salpeter波函数，系数与复杂$σ$平面的极点积分的结果相关。我们评估了$ m1 $ transitions的衰减宽度（$ ^3S_1 \ rightArrow ^1S_0 +γ$）和$ e1 $ transitions（$ ^3S_1 \ rightArrow ^1p_0 +γ$和$ ^1p_0 \ 1p_0 \ rightArrow ^3S_1 +γ$）。我们使用了通过质谱方程的分析解决方案获得的代数形式的salpeter波函数，用于$ 0^{++}，1^{ - } $的地面和激发态，以及$ 0^{ - +} $ heavy-Light Quarkonia在近似的和谐振荡器基础上，以计算其衰减宽度。我们使用的输入参数是通过拟合到其质谱而获得的。我们将结果与实验数据和其他模型进行了比较，并找到了合理的协议。
In this work we study the radiative decays of heavy-light quarkonia through M1 and E1 transitions, that involve quark-triangle diagrams with two hadron vertices, and are difficult to evaluate in BSE-CIA. We have expressed the transition amplitude, $M_{fi}$ as a linear superposition of terms involving all possible combinations of $++$, and $--$ components of Salpeter wave functions of final and initial hadron, with coefficients being related to results of pole integrals over complex $σ$- plane. We evaluate the decay widths for $M1$ transitions ($^3S_1 \rightarrow ^1S_0 +γ$), and $E1$ transitions ($^3S_1 \rightarrow ^1P_0 +γ$ and $^1P_0 \rightarrow ^3S_1 +γ$). We have used algebraic forms of Salpeter wave functions obtained through analytic solutions of mass spectral equations for ground and excited states of $0^{++},1^{--}$, and $0^{-+}$ heavy-light quarkonia in approximate harmonic oscillator basis, to calculate their decay widths. The input parameters used by us were obtained by fitting to their mass spectra. We have compared our results with experimental data and other models, and found reasonable agreements.
