发表机构
China Institute of Atomic Energy; North China Electric Power University; Southeast University; Lanzhou University（中国原子能科学研究院; 华北电力大学; 东南大学; 兰州大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究采用三点QCD求和规则，分析特定隐粲五夸克态的两体强衰变，确定两个态对应$P_c(4312)$和$P_c(4457)$，另两个为候选态，结果可用于识别这类五夸克态。
AI 中文摘要
在本研究中，我们采用三点QCD求和规则框架，研究夸克组分为$uudc\bar c$、量子数为$I(J^P)=\frac{1}{2}(\frac{1}{2}^-)$的隐粲五夸克态的两体强衰变。初始五夸克态由4个具有确定同位旋的局域双夸克-双夸克-反夸克型内插流描述。我们构建了衰变道$P_c\to \eta_c p$、$J/\psi p$、$\Lambda_c\bar D$、$\Lambda_c\bar D^{*}$和$\Sigma_c\bar D$的三点关联函数，并推导了对应的强耦合常数QCD求和规则。在强子侧，关联函数用强子质量、极点留数、衰变常数和强耦合常数表示；在QCD侧，通过包含完整夸克传播子的算符乘积展开计算，其中考虑了维度至10的真空凝聚。匹配两种表示并进行双重 Borel 变换后，我们从选定的洛伦兹结构中提取强耦合常数。利用所得耦合常数，我们计算了部分衰变宽度，并讨论了对应五夸克态的可能归属。数值结果表明，两个致密隐粲五夸克态可分别与$P_c(4312)$和$P_c(4457)$相关联，而另外两个低质量态可作为未来实验中有待寻找的隐粲五夸克候选态。本研究结果对未来实验中识别隐粲五夸克态具有重要意义。
英文摘要
In the present work, we study the two-body strong decays of the hidden-charm pentaquark states with the quark content $uudc\bar c$ and the quantum numbers $I(J^P)=\frac{1}{2}(\frac{1}{2}^-)$ in the framework of the three-point QCD sum rules. The initial pentaquark states are described by four local diquark-diquark-antiquark type interpolating currents with definite isospin. We construct the three-point correlation functions for the decay channels $P_c\to η_c p$, $J/ψp$, $Λ_c\bar D$, $Λ_c\bar D^{*}$ and $Σ_c\bar D$, and derive the corresponding QCD sum rules for the strong coupling constants. At the hadron side, the correlation functions are expressed in terms of the hadron masses, pole residues, decay constants and strong coupling constants. At the QCD side, they are calculated by carrying out the operator product expansion with the full quark propagators, where the vacuum condensates up to dimension 10 are taken into account. After matching the two representations and performing the double Borel transformations, we extract the strong coupling constants from the selected Lorentz structures. With the obtained coupling constants, we evaluate the partial decay widths and discuss the possible assignments of the corresponding pentaquark states. The numerical results indicate that two of the compact hidden-charm pentaquark states can be related to the $P_c(4312)$ and $P_c(4457)$, respectively, while the other two lower-mass states may be regarded as possible hidden-charm pentaquark candidates to be searched for in future experiments. The present results may be useful for identifying the hidden-charm pentaquark states in future experiments.
Comments13 pages, 1 figure
