Axial charges and magnetic moments of the decuplet pentaquark family

Abstract

We present a systematic calculation of the axial charges and magnetic moments for the decuplet of hidden-charm molecular pentaquarks within the framework of the constituent quark model. Our findings reveal that the axial charges of these states are comparable in magnitude to that of the nucleon. Furthermore, we find that their magnetic moments obey a set of sum rules (denoted the Hao-Song sum rules) which hold for states sharing the same spin-flavor configuration, even in the presence of SU(3) flavor symmetry breaking. These results provide crucial insights into the internal structure and dynamics of multiquark hadrons, offering valuable guidance for future experimental and theoretical investigations.${\mu }_{P_{\psi }^{\Delta +}}-{\mu }_{P_{\psi }^{\Delta 0}}+{\mu }_{P_{\psi s}^{\Sigma -}}-{\mu }_{P_{\psi s}^{\Sigma +}}+{\mu }_{P_{\psi ss}^{N0}}-{\mu }_{P_{\psi ss}^{N-}}=0$, ${\mu }_{P_{\psi }^{\Delta ++}}+{\mu }_{P_{\psi }^{\Delta -}}+{\mu }_{P_{\psi sss}^{\Lambda -}}=3{\mu }_{P_{\psi s}^{\Sigma 0}}$.