论文标题
弱衰减$ b_c $ to $ z（3930）$和$ x（4160）$ be bethe-salpeter方法
The weak decay $B_c$ to $Z(3930)$ and $X(4160)$ by Bethe-Salpeter method
论文作者
论文摘要
考虑$ z（3930）$和$ x（4160）$作为$χ_{c2}（2p）$和$χ_{C2}（3p）$ state，$ b_c $ decays of $ b_c $ decays to $ z（3930）$ s（3930）$和$ x（4160）$ SETIED-s $ SAL的方法（b_ b_c $ decess）。衰减的形式是通过在整个可访问的运动范围内的介子波函数的重叠积分来计算的。在独家衰减中考虑了相对论校正的影响。 $ b_c $弱衰减到$ z（3930）$和$ x（4160）$的分支比率。一些分支比率为：$ br（b_c^+\ to z（3930）e^+ν_e）$ $ =（3.03^{+0.09} _ { - 0.16}）\ times 10^{ - 4} x（4160）e^+ν_e）$$ =（3.55^{+0.83} _ { - 0.35}）\ times 10^{ - 6} $。这些结果可能会提供有用的信息，以发现$ z（3930）$和$ x（4160）$，以及$ b_c $物理学现象学研究的必要信息。
Considering $Z(3930)$ and $X(4160)$ as $χ_{c2}(2P)$ and $χ_{c2}(3P)$ states, the semileptonic and nonleptonic of $B_c$ decays to $Z(3930)$ and $X(4160)$ are studied by the improved Bethe-Salpeter(B-S) Method. The form factors of decay are calculated through the overlap integrals of the meson wave functions in the whole accessible kinematical range. The influence of relativistic corrections are considered in the exclusive decays. Branching ratios of $B_c$ weak decays to $Z(3930)$ and $X(4160)$ are predicted. Some of the branching ratios are: $Br(B_c^+\to Z(3930)e^+ν_e)$$=(3.03^{+0.09}_{-0.16})\times 10^{-4}$ and $Br(B_c^+\to X(4160)e^+ν_e)$$=(3.55^{+0.83}_{-0.35})\times 10^{-6}$. These results may provide useful information to discover $Z(3930)$ and $X(4160)$ and the necessary information for the phenomenological study of $B_c$ physics.
