Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark

Abstract

The spectrum of heavy-hadron molecules is constrained by heavy-quark symmetry in its different manifestations. Heavy-quark spin symmetry for instance connects the properties of the ground and excited states of heavy hadrons, while heavy-antiquark-diquark symmetry connects the properties of heavy antimesons ($\bar{D}$, ${\bar{D}}^{\ast }$) and doubly heavy baryons (${\Xi }_{cc}$, ${\Xi }_{cc}^{\ast }$). A prediction of these symmetries is that if the $P_c(4450)$ is indeed a ${\bar{D}}^{\ast }{\Sigma }_c$ bound state, then there should be a series of ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$, ${\Xi }_{cc}{\Sigma }_c$, ${\Xi }_{cc}^{\ast }{\Sigma }_c$, ${\Xi }_{cc}{\Sigma }_c^{\ast }$ and ${\Xi }_{cc}^{\ast }{\Sigma }_c^{\ast }$ partners. The concrete application of heavy-quark spin symmetry indicates that, if the $P_c(4450)$ is a ${\frac{3}{2}}^{-}$ ${\bar{D}}^{\ast }{\Sigma }_c$ molecule, the existence of a ${\frac{5}{2}}^{-}$ ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ partner with similar binding energy --- which we call $P_c(4515)$, given its expected mass --- is likely. Conversely, the application of heavy-antiquark-diquark symmetry indicates that the $0^{+}$ ${\Xi }_{cc}{\Sigma }_c$, $1^{+}$ ${\Xi }_{cc}{\Sigma }_c^{\ast }$, $2^{+}$ ${\Xi }_{cc}^{\ast }{\Sigma }_c$ and $3^{+}$ ${\Xi }_{cc}^{\ast }{\Sigma }_c^{\ast }$ molecules are likely to bind too, with binding energies in the $20-30\mathrm{MeV}$ range.

5 pages; corresponds to published version

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Cited by in corpus (10)

• Pentaquark and Tetraquark states
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Photoproduction of strange hidden-charm and hidden-bottom states
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Doubly charmed dibaryon states
• Electromagnetic properties of possible triple-charm molecular hexaquarks
• Hadronic molecules and multiquark states