The axial charges of the hidden-charm pentaquark states

With the chiral quark model, we have calculated the axial charges of the pentaquark states with $(I,I_3)=(\frac{1}{2},\frac{1}{2})$ and $J^P={\frac{1}{2}}^{\pm },{\frac{3}{2}}^{\pm },{\frac{5}{2}}^{\pm }$. The $P_c$ states with the same $J^P$ quantum numbers but different color-spin-flavor configurations have very different axial charges, which encode important information on their underlying structures. For some of the $J^P={\frac{3}{2}}^{\pm }$ or ${\frac{5}{2}}^{\pm }$ pentaquark states, their axial charges are much smaller than that of the proton.