In this work, we systematically calculate transition magnetic moments, radiative decay widths, and axial-vector coupling constants of octet hidden-charm molecular pentaquark states with different flavor representations in constituent quark model. We discuss the relations between transition magnetic moments and decay widths for pentaquark states. For octet pentaquark states with the $8_{1f}$ and $8_{2f}$ flavor representations, decay widths of the processes $P_{\psi }|{\frac{3}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\to P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 0^{-})}\gamma$ and $P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\to P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 0^{-})}\gamma$ are quite close, and decay widths of the $P_{\psi }|{\frac{3}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\to P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\gamma$ process are close to zero, and we notice that the axial-vector coupling constants of the pentaquark states are generally smaller than that of the nucleon.

中文翻译：

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八重五夸克态的辐射衰变和轴矢量衰变行为


在这项工作中，我们系统地计算了组成夸克模型中具有不同风味表示的八位隐魅分子五夸克态的转变磁矩、辐射衰变宽度和轴矢量耦合常数。我们讨论五夸克态的跃迁磁矩和衰变宽度之间的关系。对于八重五夸克态 $8_{1f}$ 和 $8_{2f}$ 风味表征、过程的衰减宽度 $P_{\psi }|{\frac{3}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\to P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 0^{-})}\gamma$ 和 $P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\to P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 0^{-})}\gamma$ 非常接近，并且衰减宽度 $P_{\psi }|{\frac{3}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\to P_{\psi }|{\frac{1}{2}}^{-}{⟩}_{({\frac{1}{2}}^{+}\otimes 1^{-})}\gamma$ 过程接近于零，我们注意到五夸克态的轴矢量耦合常数通常小于核子的轴矢量耦合常数。