The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective

Abstract

The observation of the $P_{cs}(4459)$ by the LHCb collaboration adds a new member to the set of known hidden-charm pentaquarks, which includes the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. The $P_{cs}(4459)$ is expected to have the light-quark content of a $\Lambda$ baryon ($I=0$, $S=-1$), but its spin is unknown. Its closeness to the ${\bar{D}}^{\ast }{\Xi }_c$ threshold -- $4478\mathrm{MeV}$ in the isospin-symmetric limit -- suggests the molecular hypothesis as a plausible explanation for the $P_{cs}(4459)$. While in the absence of coupled-channel dynamics heavy-quark spin symmetry predicts the two spin-states of the ${\bar{D}}^{\ast }{\Xi }_c$ to be degenerate, power counting arguments indicate that the coupling with the nearby $\bar{D}{\Xi }_c^{\prime }$ and $\bar{D}{\Xi }_c^{\ast }$ channels might be a leading order effect. This generates a hyperfine splitting in which the $J=\frac{3}{2}$ ${\bar{D}}^{\ast }{\Xi }_c$ pentaquark will be lighter than the $J=\frac{1}{2}$ configuration, which we estimate to be of the order of $5-15\mathrm{MeV}$. We also point out an accidental symmetry between the $P_{cs}(4459)$ and $P_c(4440/4457)$ potentials. Finally, we argue that the spectroscopy and the $J/\psi \Lambda$ decays of the $P_{cs}(4459)$ might suggest a marginal preference for $J=\frac{3}{2}$ over $J=\frac{1}{2}$.

arXiv comment16 pages, 1 figure; includes discussions on power counting, the J=1/2,3/2 hyperfine splitting, saturation, phenomenological relation between the Pcs(4459) and Pc(4440/4457) potentials, decay to $J/\psi \Lambda$, etc

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Cited by in corpus (43)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
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• 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 $P_{cs}(4459)$
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• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
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• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Spectrum of the molecular pentaquarks
• The LHCb state $P_{\psi s}^{\Lambda }(4338)$ as a triangle singularity
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• 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
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Search for hidden-charm pentaquark states in three-body final states
• Semi-inclusive electroproduction of hidden-charm and double-charm hadronic molecules
• On the possibility of testing the two-peak structure of the LHCb hidden-charm strange pentaquark $P_{cs}(4459{)}^0$ in near-threshold antikaon-induced charmonium production on protons and nuclei
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Molecular pentaquark states with open charm and bottom flavors
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Prediction of five-flavored pentaquarks
• Regarding the possibility to observe the LHCb hidden-charm strange pentaquark $P_{cs}(4459{)}^0$ in antikaon-induced $J/\psi$ meson production on protons and nuclei near the $J/\psi$$\Lambda$ production threshold
• Possible molecular states from interactions of charmed baryons
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• 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
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• 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
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton
• Exotic hadrons associated with $b$-quark
• Searching for a $P_{cs}(4200)$ state in the ${\Lambda }_b\to \varphi {\eta }_c\Lambda$ reaction