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 $J=\frac{1}{2}$.

16 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

References in corpus (15)

• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• 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
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Establishing the first hidden-charm pentaquark with strangeness
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Strange molecular partners of the $Z_c(3900)$ and $Z_c(4020)$
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Do $\Xi \Xi$ bound states exist?

Cited by in corpus (43)

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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
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• The LHCb state $P_{\psi s}^{\Lambda }(4338)$ as a triangle singularity
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• Heavy-hadron molecular spectrum from light-meson exchange saturation
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• 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
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• 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