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arXiv 1907.05097hep-ph
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$P_{c}(4312)$作为$\bar{D}Σ_{c}$分子态的部分衰变宽度

Partial decay widths of $P_{c}(4312)$ as a $\bar{D}Σ_{c}$ molecular state

Yong-Jiang Xu, Chun-Yu Cui, Yong-Lu Liu, Ming-Qiu Huang

备注：
18 page,11 figures
发表信息：
Phys. Rev. D 102, 034028 (2020)
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摘要：

在假定$P_{c}(4312)$是一个含有$J^{P}=\frac{1}{2}^{-}$的$\bar{D}Σ_{c}$分子态的条件下，用QCD求和规则方法研究了$P_{c}(4312)$到$η_{c} p$和$J/ψp$的部分衰变宽度.在分析过程中，首先计算了强衰变常数计算的输入参数之一的$P_{c}(4312)$的极点留数。利用强衰变常数的数值，估算出$η_{c} p$和$J/ψp$的部分衰变宽度分别为$Γ(P_{c}(4312)\rightarrow η_{c} p)=5.54^{+0.75}_{-0.5}\mbox{MeV}$和$Γ(P_{c}(4312)\rightarrow J/ψp)=1.67^{+0.92}_{-0.56}\mbox{MeV}$，与测量的$P_{c}(4312)$的总宽度一致.结果表明，将$P_{c}(4312)$与$J^{P}=\frac{1}{2}^{-}$一起归属为$\bar{D}Σ_{c}$分子状态是合理的.

英文摘要：

In the present work, the partial decay widths of $P_{c}(4312)$ to $η_{c} p$ and $J/ψp$ are investigated with the QCD sum rule method under the assumption that $P_{c}(4312)$ is a $\bar{D}Σ_{c}$ molecular state with $J^{P}=\frac{1}{2}^{-}$. In the analysis, the pole residue of $P_{c}(4312)$, one of the input parameters for the calculations of the strong decay constants, is calculated first. With the numerical values of the strong decay constants, the partial decay widths to $η_{c} p$ and $J/ψp$ are estimated to be $Γ(P_{c}(4312)\rightarrow η_{c} p)=5.54^{+0.75}_{-0.5}\mbox{MeV}$ and $Γ(P_{c}(4312)\rightarrow J/ψp)=1.67^{+0.92}_{-0.56}\mbox{MeV}$, respectively, which are compatible with the measured total width of $P_{c}(4312)$. The results suggest that it is reasonable to assign $P_{c}(4312)$ to be a $\bar{D}Σ_{c}$ molecular state with $J^{P}=\frac{1}{2}^{-}$.

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