Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners

Abstract

Inspired by the observation of the $P_{cs}(4459)$ state by LHCb recently, we reexamine the results of the interaction of the $J/\psi \Lambda$ channel with its coupled channels, exploiting the coupled channel unitary approach combined with heavy quark spin and local hidden gauge symmetries. By tuning the only free parameter, we find a pole of $(4459.07+i6.89)$ MeV below the ${\bar{D}}^{\ast }{\Xi }_c$ threshold, which was consistent well with the mass and width of the $P_{cs}(4459)$ state. Thus, we assume the $P_{cs}(4459)$ state to be a ${\bar{D}}^{\ast }{\Xi }_c$ bound state with the uncertainties on its degeneracy with $J^P={\frac{1}{2}}^{-}$ and $J^P={\frac{3}{2}}^{-}$. For the degeneracy, it would have two-poles structure, like $P_c(4450)$ before. There is another pole in the $J^P={\frac{1}{2}}^{-}$ sector, $(4310.53+i8.23)$ MeV, corresponding to a deep bound state of $\bar{D}{\Xi }_c$. Furthermore, the previously predicted loose bound states of $\bar{D}{\Xi }_c^{\prime }$, ${\bar{D}}^{\ast }{\Xi }_c^{\prime }$, ${\bar{D}}^{\ast }{\Xi }_c^{\ast }$ with $J=1/2,I=0$ and ${\bar{D}}^{\ast }{\Xi }_c^{\prime }$, $\bar{D}{\Xi }_c^{\ast }$, ${\bar{D}}^{\ast }{\Xi }_c^{\ast }$ with $J=3/2,I=0$ may exist as either bound states or unbound virtual states. We hope that future experiments can search for the ${\bar{D}}^{(\ast )}{\Xi }_c$ molecular states in their dominant decay channels of ${\bar{D}}_s^{(\ast )}{\Lambda }_c$, also in the $J/\psi \Lambda$ and ${\eta }_c\Lambda$ channels to reveal their different nature.

Some comments and corrections have been made

References in corpus (11)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Hidden charm N and Delta resonances with heavy-quark symmetry
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Strong decays of the newly $P_{cs}(4459)$ as a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecule
• How to reveal the nature of three or more pentaquark states?
• The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$

Cited by in corpus (7)

• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• New strange pentaquarks
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism