The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory

Abstract

In this work, we employ the heavy hadron chiral perturbation theory (HHChPT) to calculate the ${\Sigma }_c{\bar{D}}^{(\ast )}$ potentials to the next-to-leading order. The contact, the one-pion exchange and the two-pion exchange interactions are included. Besides, the mass splittings between the heavy quark spin symmetry (HQSS) multiplets are kept in calculations. Our result shows that neglecting the heavy quark symmetry (HQS) violation effect may be misleading to predict the potentials between the charmed hadrons. We perform numerical analysis with three scenarios. In the first scenario, we relate the low-energy constants (LECs) in the contact terms of ${\Sigma }_c{\bar{D}}^{(\ast )}$ to those of nucleon systems, and reproduce the $P_c(4312)$ and $P_c(4440)$ as loosely bound states. In the second scenario, we vary the unknown LECs and find a small parameter region in which $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ can coexist as molecular states. In the third scenario, we include the coupled-channel effect on the basis of scenario II, and notice that the three $P_c$ states can be reproduced as molecular states simultaneously in a large region of parameters. Our analytical results can be used for the chiral extrapolations in lattice QCD. With the lattice QCD results in the future as inputs, the identification of the $P_c$ states and predictions for other systems would be more reliable.

16 pages, 12 figures

References in corpus (16)

• Chiral effective field theory and nuclear forces
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• 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
• X(3872) and Other Possible Heavy Molecular States
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Deuteron-like states composed of two doubly charmed baryons
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Looking for the hidden-charm pentaquark resonances in $J/\psi p$ scattering
• Hadronic Molecular States Composed of Spin-$\frac{3}{2}$ Singly Charmed Baryons

Cited by in corpus (93)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Tetra- and penta-quark structures in the constituent quark model
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4312{)}^{+}$: molecules or compact pentaquarks?
• Revisiting the nature of the $P_c$ pentaquarks
• Systematics of the heavy flavor hadronic molecules
• One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Probing hidden-charm decay properties of $P_c$ states in a molecular scenario
• 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
• Structure and decays of hidden heavy pentaquarks
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• Probing new types of $P_c$ states inspired by the interaction between an $S$-wave charmed baryon and an anticharmed meson in a $\bar{T}$ doublet state
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• How to understand the $X(2900)$?
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• Doubly Charmed Pentaquarks
• Doubly charmed molecular pentaquarks
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Pion-induced production of hidden-charm pentaquarks $P_c(4312),P_c(4440)$, and $P_c(4457)$
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• Heavy flavor molecular states with strangeness
• Spectrum of the molecular pentaquarks
• Partial decay widths of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• Experimental constraints on the properties of $P_c$ states
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Decay properties of $P_c$ states through the Fierz rearrangement
• Properties of $P_c(4312)$ pentaquark and its bottom partner
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• $P_c$ Resonances in the Compact Pentaquark Picture
• Exotic Hadrons at LHCb
• Pentaquark components in low-lying baryon resonances
• Triply charmed dibaryons in the one boson exchange model
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• $P_c$ states and their open-charm decays with the complex scaling method
• Heavy quark spin multiplet structure of $P_c$-like pentaquark as P-wave hadronic molecular state
• Prompt production of the hidden charm pentaquarks in the LHC
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
• Possible Molecular States Composed of Doubly Charmed Baryons with Couple-channel Effect
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• ${\Xi }_{bb}$ and ${\Omega }_{bbb}$ molecular states
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Exploring the spectrum of the hidden charm strange pentaquark in an SU(4) flavor-spin model
• Evidence supporting the existence of $P_c(4380{)}^{\pm }$ from the recent measurements of $B_s\to J/\psi p\bar{p}$
• $J/\psi$ decay into $\varphi (\omega )$ and vector-vector molecular states
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• Molecular pentaquark states with open charm and bottom flavors
• Relations between strong decay widths of the $P_c$ pentaquarks in the SU(4) flavor-spin model
• The possibility to study in-medium modification of $J/\psi$ mesons from their photoproduction on nuclei near threshold in the case of presence of the LHCb pentaquark states $P_c^{+}$ in this photoproduction
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• New narrow LHCb pentaquarks as lowest antiquark-diquark-diquark systems
• 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
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• Fully charmed P-wave tetraquark resonant states in the quark model
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• Finding Interaction Mechanism between Exotic Molecule and Conventional Hadron
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Hidden bottom pentaquark in the SU(5) version of the flavor-spin model
• Exotic Heavy Hadrons
• Octet baryon and heavy meson interactions in chiral effective field theory
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Hadronic molecules and multiquark states
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• The study of doubly charmed pentaquark $cc\bar{q}qq$ with the SU(3) symmetry
• Quantum Numbers of the Pentaquark States $P_c^{+}$ via Symmetry Analysis
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules