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arXiv 1907.04582hep-ph
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用QCD求和规则分析五夸克态$P_c(4312)$的强衰变

Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules

Zhi-Gang Wang, Xu Wang

摘要:

本文尝试将$P_c(4312)$指定为具有自旋宇称$J^P={\frac{1}{2}}^-$的$\bar{D}Σ_c$五夸克分子态,并详细讨论了$\bar{D}Σ_c$分子态的两点QCD求和规则中可因式分解和不可因式分解的贡献,以证明强子谱密度中单极近似的可靠性.我们用QCD求和规则研究了它的两体强衰变,特别注意将关联函数的强子侧与QCD侧进行匹配以获得固体对偶性。我们得到了部分衰变宽度$Γ\left(P_c(4312)\to η_c p\right)=0.255\,{\rm{MeV}}$和$Γ\left(P_c(4312)\to J/ψp\right)=9.296^{+19.542}_{-9.296}\,\,{\rm{MeV}}$,它们与总宽度的实验值一致,并支持将$P_c(4312)$指定为$\bar{D}Σ_c$五夸克态.

英文摘要:

In this article, we tentatively assign the $P_c(4312)$ to be the $\bar{D}Σ_c$ pentaquark molecular state with the spin-parity $J^P={\frac{1}{2}}^-$, and discuss the factorizable and non-factorizable contributions in the two-point QCD sum rules for the $\bar{D}Σ_c$ molecular state in details to prove the reliability of the single pole approximation in the hadronic spectral density. We study its two-body strong decays with the QCD sum rules, special attentions are paid to match the hadron side with the QCD side of the correlation functions to obtain solid duality. We obtain the partial decay widths $Γ\left(P_c(4312)\to η_c p\right)=0.255\,{\rm{MeV}}$ and $Γ\left(P_c(4312)\to J/ψp\right)=9.296^{+19.542}_{-9.296}\,\,{\rm{MeV}}$, which are compatible with the experimental value of the total width, and support assigning the $P_c(4312)$ to be the $\bar{D}Σ_c$ pentaquark molecular state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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