Surveying the mass spectra and the electromagnetic properties of the $Ξ_c^{(\prime,*)} D^{(*)}$ molecular pentaquarks

Abstract: Motivated by the observed $P_{\psi s}^{\Lambda}(4459)/P_{\psi s}^{\Lambda}(4338)$ and $T_{cc}(3875)^+$ states as the $\Xi_c \bar D^{*}/\Xi_c \bar D$ and $DD^{*}$ molecular candidates, respectively, in this work we investigate the $\Xi_c^{(\prime,*)} D^{(*)}$ molecular systems. We obtain the mass spectra and the corresponding spatial wave functions of the $\Xi_c^{(\prime,*)} D^{(*)}$-type double-charm molecular pentaquark candidates with single strangeness, where we utilise the one-boson-exchange model and take into account both the $S$-$D$ wave mixing effect and the coupled channel effect. Our results show that the most promising candidates of the double-charm molecular pentaquarks with single strangeness include the $\Xi_c D$ state with $I(J^P)=0(1/2^-)$, the $\Xi_c^{\prime} D$ state with $I(J^P)=0(1/2^-)$, the $\Xi_c D^{*}$ states with $I(J^P)=0(1/2^-,3/2^-)$, the $\Xi_c^{*} D$ state with $I(J^P)=0(3/2^-)$, the $\Xi_c^{\prime} D^{*}$ states with $I(J^P)=0(1/2^-,3/2^-)$, and the $\Xi_c^{*} D^{*}$ states with $I(J^P)=0(1/2^-,3/2^-,5/2^-)$. To gain further insight into the inner structures and the properties of the isoscalar $\Xi_c^{(\prime,*)} D^{(*)}$ molecular candidates, we utilize the constituent quark model to analyze their M1 radiative decay behaviors and magnetic moments based on the obtained mass spectra and spatial wave functions, which can offer the significant information to determine their spin-parity quantum numbers and configurations in the forthcoming experiments. We suggest that our experimental colleagues search for the predicted $\Xi_c^{(\prime,*)} D^{(*)}$ molecular states.