论文标题
2p和3p charmonium状态的两体强衰变
Two-Body Strong Decay of the 2P and 3P Charmonium states
论文作者
论文摘要
Bethe-Salpeter（BS）方法与$^3p_0 $型号相结合，研究了$ 2P $和$ 3P $ charmonium状态的两体开放式魅力衰减。 $ 2p $和$ 3p $ charmonium状态的波函数和质谱是通过用相对论校正求解BS方程的。计算了$ 2p $和$ 3p $ charmonium状态的强衰减宽度和相对比率。将我们的结果与实验数据进行比较，我们获得了一些有趣的结果。考虑到$ x^*（3860）$作为$χ_{C0}（2p）$，总强衰减宽度小于实验数据。但是，强衰减宽度取决于$^3p_0 $型号中的参数$γ$，$ x^*（3860）$的质量和宽度有很大的错误，我们不能排除$ x^*（3860）$是$ X^*（3860）$是$χ_{C0}（2p）$。 $ x（4160）$是$χ_{C0}（3p）$的好候选者，不仅是$χ_{C0}（3p）$的强衰减宽度与实验数据相同，而且相对比率$ \ frac $ \ frac {γ（χ_{χ_{C0}（χ_{C0}） d）} {γ（χ_{c0}（3p）\ to d^*\ bar d^*）}} \ of0.0019 <0.09 $，和$ \ frac {γ（{χ_{c0}（c0}（3p）（3p）\ to d \ bar d \ d^*}） d^*\ bar d^*}）} = 0 <0.22 $与$ x（4160）$的实验结果一致。以$ x（4274）$为$χ_{C1}（3p）$，强衰减宽度与实验数据一致，因此$ X（4274）$是$χ_{C1}（C1}}（3p）$的良好候选者。将$ x（4350）$分配为$χ_{C2}（3p）$，相应的强衰减宽度略大于实验数据。要确定$ x（4350）$是$χ_{C2}（3p）$，还需要进行更多调查。 $ 2p $和$ 3p $ charmonium状态的所有强衰减宽度和相对比率都可以提供有用的信息来发现和确认这些粒子。
Two-body open charm strong decays of the $2P$ and $3P$ charmonium states are studied by the Bethe-Salpeter(BS) method combined with the $^3P_0$ model. The wave functions and mass spectra of the $2P$ and $3P$ charmonium states are obtained by solving the BS equation with the relativistic correction. The strong decay widths and relative ratios of the $2P$ and $3P$ charmonium states are calculated. Comparing our results with the experimental data, we obtain some interesting results. Considering the $X^*(3860)$ as the $χ_{c0}(2P)$, the total strong decay width is smaller than the experimental data. But the strong decay width depends on the parameter $γ$ in the $^3P_0$ model, and the mass and width of the $X^*(3860)$ have large errors, we cannot rule out the possibility that the $X^*(3860)$ is the $χ_{c0}(2P)$. The $X(4160)$ is a good candidate for the $χ_{c0}(3P)$, not only the strong decay width of the $χ_{c0}(3P)$ is same as the experimental data, but the relative ratios $\frac{Γ(χ_{c0}(3P)\to D\bar D)}{Γ(χ_{c0}(3P)\to D^*\bar D^*)}\approx0.0019<0.09$, and $\frac{Γ({χ_{c0}(3P)\to D\bar D^*})}{Γ({χ_{c0}(3P)\to D^*\bar D^*})}=0<0.22$ are consistent with the experimental results of the $X(4160)$. Taking the $X(4274)$ as the $χ_{c1}(3P)$, the strong decay width is consistent with the experimental data, so the $X(4274)$ is a good candidate for the $χ_{c1}(3P)$. Assigning the $X(4350)$ as the $χ_{c2}(3P)$, the corresponding strong decay width is slightly larger than the experimental data. To identify if the $X(4350)$ is $χ_{c2}(3P)$, many more investigations are needed. All of the strong decay widths and relative ratios of the $2P$ and $3P$ charmonium states can provide the useful information to discover and confirm these particles in the future.
