Prediction of triple-charm molecular pentaquarks

In a one-boson-exchange model, we study molecular states of double-charm baryon [${\mathrm{\Xi }}_{cc}(3621)$] and a charmed meson ($D$ and $D^{*}$). Our model indicates that there exist two possible triple-charm molecular pentaquarks, a ${\mathrm{\Xi }}_{cc}D$ state with $I(J^P)=0(1/2^{-})$, and a ${\mathrm{\Xi }}_{cc}{D}^{*}$ state with $I(J^P)=0(3/2^{-})$, and we do not find bound solutions for isotriplet states. In addition, we also extend our formula to explore ${\mathrm{\Xi }}_{cc}{\overline{B}}^{(*)}$, ${\mathrm{\Xi }}_{cc}{\overline{D}}^{(*)}$, and ${\mathrm{\Xi }}_{cc}{B}^{(*)}$ systems and find more possible heavy flavor molecular pentaquarks, a ${\mathrm{\Xi }}_{cc}\overline{B}$ state with $I(J^P)=0(1/2^{-})$, a ${\mathrm{\Xi }}_{cc}{\overline{B}}^{*}$ state with $I(J^P)=0(3/2^{-})$, and ${\mathrm{\Xi }}_{cc}{\overline{D}}^{*}/{\mathrm{\Xi }}_{cc}{B}^{*}$ states with $I(J^P)=0(1/2^{-})$. Experimental research for these predicted triple-charm molecular pentaquarks is encouraged.

Figure 1

Evolution of interaction of hadrons and the corresponding connections with charmoniumlike $XYZ$ states, $P_c(4380)/P_c(4450)$, and triple-charm molecular pentaquark.

Figure 2

Typical diagram for the ${\mathrm{\Xi }}_{cc}{D}^{(*)}$ systems with the one-boson-exchange model.

Figure 3

Radial wave functions for the ${\mathrm{\Xi }}_{cc}D$ state with $I(J^P)=0(1/2^{-})$ and ${\mathrm{\Xi }}_{cc}{D}^{*}$ state with $I(J^P)=0(3/2^{-})$. Vertical lines locate in their root-mean-square radius $r_{\mathrm{RMS}}$.

Figure 4

Binding energies for the ${\mathrm{\Xi }}_{cc}{D}^{(*)}$ and ${\mathrm{\Xi }}_{cc}{\overline{B}}^{(*)}$ systems.