Magnetic moments and axial charges of the octet hidden-charm molecular pentaquark family

Abstract

In this work, we calculate the magnetic moment and axial charge of the octet hidden-charm molecular pentaquark family in quark model. The Coleman-Glashow sum-rule for the magnetic moments of pentaquark family is always fulfilled independently of SU(3) symmetry breaking. In the $8_{2f}$ flavor representation, the magnetic moments of hidden-charm molecular pentaquark states with spin configuration $J^P={\frac{1}{2}}^{-}({\frac{1}{2}}^{+}\otimes 0^{-})$ are all equal to ${\mu }_c=0.38{\mu }_N$. The axial charges of octet hidden-charm molecular pentaquark states are quite small compared to the axial charge of nucleon. The axial charges of the pentaquark states with the spin configuration $J^P={\frac{1}{2}}^{-}({\frac{1}{2}}^{+}\otimes 0^{-})$ in $8_{2f}$ flavor representation are all zero.