Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective

Abstract

The LHCb pentaquarks -- the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ -- have been theorized to be ${\Sigma }_c\bar{D}$ and ${\Sigma }_c{\bar{D}}^{\ast }$ S-wave molecules. Here we explore the possibility that two of these pentaquarks -- the $P_c(4440)$ and $P_c(4457)$ -- contain in addition a ${\Lambda }_c(2595)\bar{D}$ component in P-wave. We will analyze the effects of this extra channel within two effective field theories: the first one will be a standard contact-range effective field theory and the second one will include the non-diagonal pion dynamics connecting the ${\Sigma }_c{\bar{D}}^{\ast }$ and ${\Lambda }_c(2595)\bar{D}$ channels, which happens to be unusually long-ranged. The impact of the coupled-channel dynamics between the ${\Sigma }_c{\bar{D}}^{\ast }$ and ${\Lambda }_c(2595)\bar{D}$ components is modest at best for the $P_c(4440)$ and $P_c(4457)$, which will remain to be predominantly ${\Sigma }_c{\bar{D}}^{\ast }$ molecules. However, if the quantum numbers of the $P_c(4457)$ are $J^P={\frac{1}{2}}^{-}$, the coupled-channel dynamics is likely to induce the binding of a ${\Lambda }_c(2595)\bar{D}$ S-wave molecule (coupled to ${\Sigma }_c{\bar{D}}^{\ast }$ in P-wave) with $J^P={\frac{1}{2}}^{+}$ and a mass similar to the $P_c(4457)$. If this is the case, the $P_c(4457)$ could actually be a double peak containing two different pentaquark states.

arXiv comment17 pages, 3 figures

References in corpus (47)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• 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
• Effective Field Theory for Short-Range Forces
• New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules
• Nucleon-Nucleon Effective Field Theory Without Pions
• Exotic QQ\qbar\qbar States in QCD
• Dynamically generated $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances in the hidden charm sector around 4.3 GeV
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
• A renormalisation-group treatment of two-body scattering
• 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 $P_c(4380)$
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• First Measurement of $\Gamma (D\ast +)$
• Resonance saturation for four-nucleon operators
• Prediction of super-heavy $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden beauty
• Analysis of the $P_c(4312)$, $P_c(4440)$, $P_c(4457)$ and related hidden-charm pentaquark states with QCD sum rules
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• Heavy Hadron Chiral Perturbation Theory
• Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory: An Update
• The singular inverse square potential, limit cycles and self-adjoint extensions
• $P_c$ pentaquarks with chiral tensor and quark dynamics
• Hidden-charm and bottom tetra- and pentaquarks with strangeness in the hadro-quarkonium and compact tetraquark models
• Strong and Electromagnetic Decays of Two New $Lambd{a}_c^{\ast }$ Baryons
• New LHCb pentaquarks as hadrocharmonium states
• One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks
• The Renormalization Group Limit Cycle for the 1/r^2 Potential
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Measurements of the properties of Lambda_c(2595), Lambda_c(2625), Sigma_c(2455), and Sigma_c(2520) baryons
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• On the limit cycle for the 1/r^2 potential in momentum space
• Heavy Baryon-Antibaryon Molecules in Effective Field Theory
• Doubly Charmed Pentaquarks
• Heavy-hadron molecules from light-meson-exchange saturation
• Scale Invariance in Heavy Hadron Molecules
• Naturalness in Nuclear Effective Field Theories
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model

Cited by in corpus (12)

• Revisiting the nature of the $P_c$ pentaquarks
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Prompt production of the hidden charm pentaquarks in the LHC
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Hadronic molecules and multiquark states
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering
• Searching for a $P_{cs}(4200)$ state in the ${\Lambda }_b\to \varphi {\eta }_c\Lambda$ reaction