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.

arXiv commentSome comments and corrections have been made

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Cited by in corpus (37)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Systematics of the heavy flavor hadronic molecules
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• 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?
• Magnetic moments of the hidden-charm strange pentaquark states
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• New strange pentaquarks
• Investigation of hidden-charm pentaquarks with strangeness $S=-1$
• Building up the spectrum of pentaquark states as hadronic molecules
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• 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 Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Spectrum of the molecular pentaquarks
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Fully-charm and -bottom pentaquarks in a Lattice-QCD inspired quark model
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Hidden-charm pentaquark states in a mass splitting model
• Production of hidden-charm strange pentaquarks $P_{cs}$ from the $K^{-}p\to J/\psi \Lambda$ reaction
• Masses and magnetic moments of exotic fully heavy pentaquarks
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• Prediction of five-flavored pentaquarks
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules