Searching for possible ${\mathrm{\Omega }}_c$-like molecular states from meson-baryon interaction

Stimulated by the recent observation of ${\mathrm{\Omega }}_c$ as well as past observations of $P_c(4380)$ and $P_c(4450)$, we perform a coupled-channel analysis of ${\mathrm{\Xi }}_c^{*}\overline{K}/{\mathrm{\Omega }}_c\eta /{\mathrm{\Omega }}_c^{*}\eta /{\mathrm{\Xi }}_c{\overline{K}}^{*}/{\mathrm{\Xi }}_c^{\prime }{\overline{K}}^{*}/{\mathrm{\Omega }}_c\omega$ systems to search for possible ${\mathrm{\Omega }}_c$-like molecular states by using a one-boson-exchange potential. Our results suggest that there exists a loosely bound molecular state—a ${\mathrm{\Xi }}_c^{*}\overline{K}/{\mathrm{\Omega }}_c\eta /{\mathrm{\Omega }}_c^{*}\eta /{\mathrm{\Xi }}_c{\overline{K}}^{*}/{\mathrm{\Xi }}_c^{\prime }{\overline{K}}^{*}/{\mathrm{\Omega }}_c\omega$ with $I(J^P)=0(3/2^{-})$—that is mainly composed of the ${\mathrm{\Xi }}_c^{*}\overline{K}$ system. The two-body strong decay width is also studied, where we find that ${\mathrm{\Xi }}_c^{\prime }\overline{K}$ is the dominant decay channel.

Figure 1

A comparison of the masses of the heavy pentaquarks and the mass thresholds of antimeson and baryon pair systems.

Figure 2

$r$ dependence of the deduced effective potentials with the cutoff $\mathrm{\Lambda }=1.25\mathrm{GeV}$ for the ${\mathrm{\Xi }}_c^{*}\overline{K}$ system.

Figure 3

Left: Two-body strong decay diagram for a molecular state $MS$ into a baryon $C$ and a meson $D$. Right: $MS$ is composed of two colorless hadrons: a baryon $A$ and a meson $B$. $Q$ corresponds to the exchanged hadron.