基于Tamm-Dancoff近似的QCD方法计算底粲介子谱
The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation
摘要：
利用库仑规范QCD哈密顿量的有效形式研究了底粲介子谱。采用Tamm-Dancoff近似计算了量子数为$J^P = 0^{-}, 0^{+}, 1^{-}, 1^{+}, 2^{+}, 2^{-}$的$B_c$基态和径向激发态的能量。特别是，我们分析了将一个有效的横向超精细相互作用和自旋混合的影响。Regge轨迹和超精细分裂的两个$S$和$P$波状态也检查。数值结果与现有的实验数据和其他模型的理论预测进行了比较。
英文摘要：
The bottom-charmed meson spectrum is studied in this work via an effective version of the Coulomb gauge QCD Hamiltonian. The Tamm-Dancoff approximation is employed to estimate the energies of the low-lying and radial-excited $B_c$ states with quantum numbers $J^P = 0^{-}, 0^{+}, 1^{-}, 1^{+}, 2^{+}, 2^{-}$. In particular, we analyze the effects of incorporating an effective transverse hyperfine interaction and spin mixing. The Regge trajectories and hyperfine splitting of both $S$- and $P$-wave states are also examined. The numerical results are compared with available experimental data and theoretical predictions of other models.
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