Hadronic coupling constants of the lowest hidden-charm pentaquark state, using QCD sum rules with rigorous quark-hadron duality Supported by National Natural Science Foundation of China (11775079),Chinese Physics C

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Hadronic coupling constants of the lowest hidden-charm pentaquark state, using QCD sum rules with rigorous quark-hadron duality Supported by National Natural Science Foundation of China (11775079)
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-07-08 , DOI: 10.1088/1674-1137/abf13b
Zhigang Wang ₁ , Huijuan Wang ₁ , Qi Xin ₁

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In this article, we illustrate how to calculate the hadronic coupling constants of the pentaquark states with QCD sum rules based on rigorous quark-hadron quality. We then study the hadronic coupling constants of the lowest diquark-diquark-antiquark type hidden-charm pentaquark state with spin-parity $J^P = {\dfrac{1}{2}}^-$ in detail, and calculate the partial decay widths. The total width $\Gamma(P_c) = 14.32\pm3.31\;\rm{MeV}$ is compatible with the experimental value $\Gamma_{P_c(4312)} = 9.8\pm2.7^{+ 3.7}_{- 4.5} \; \rm{ MeV}$ from the LHCb collaboration, and favors assigning the $ P_c(4312) $ to be the $[ud][uc]\bar{c}$ pentaquark state with $J^P = {\dfrac{1}{2}}^-$ . The hadronic coupling constants have the relation $|G_{PD^-\Sigma_c^{++}}| = \sqrt{2}|G_{P\bar{D}^0\Sigma_c^+}|\gg$ $|G_{P\bar{D}^0\Lambda_c^+}|$ , and favor the hadronic dressing mechanism. The may have a diquark-diquark-antiquark type pentaquark core with the typical size of the $ qqq $ -type baryon states. The strong couplings to the meson-baryon pairs $\bar{D}\Sigma_c$ lead to some pentaquark molecule components, and the $ P_c(4312) $ may spend a rather large time as the $\bar{D}\Sigma_c$ molecular state.

中文翻译：

最低隐魅五夸克态的强子耦合常数，使用具有严格夸克-强子对偶性的 QCD 和规则国家自然科学基金项目 (11775079)

在本文中，我们将说明如何基于严格的夸克-强子质量，使用 QCD 和规则计算五夸克态的强子耦合常数。然后，我们详细研究了具有自旋奇偶性的最低迪夸克-迪夸克-反夸克型隐魅五夸克态的强子耦合常数 $J^P = {\dfrac{1}{2}}^-$ ，并计算了部分衰减宽度。总宽度 $\Gamma(P_c) = 14.32\pm3.31\;\rm{MeV}$ 与 $\Gamma_{P_c(4312)} = 9.8\pm2.7^{+ 3.7}_{- 4.5} \; \rm{ MeV}$ 来自 LHCb 合作的实验值兼容，并有利于将指定 $ P_c(4312) $ 为 $[ud][uc]\bar{c}$ 五夸克态 $J^P = {\dfrac{1}{2}}^-$ 。强子耦合常数有关系 $|G_{PD^-\Sigma_c^{++}}| = \sqrt{2}|G_{P\bar{D}^0\Sigma_c^+}|\gg$ $|G_{P\bar{D}^0\Lambda_c^+}|$ ，有利于强子修整机制。所述可具有的典型尺寸的双夸克-双夸克-夸克型五夸克芯 $ qqq $ -型重子态。与介子-重子对的强耦合 $\bar{D}\Sigma_c$ 导致一些五夸克分子组分，并且 $ P_c(4312) $ 可能花费相当长的时间作为 $\bar{D}\Sigma_c$ 分子状态。

更新日期：2021-07-08

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