Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory

Abstract

We perform a systematic study on the interactions of the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ systems within the framework of chiral effective field theory. We introduce the contact term, one-pion-exchange and two-pion-exchange contributions to describe the short-, long-, and intermediate-range interactions. The low energy constants of the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ systems are estimated from the $N\bar{N}$ scattering data by introducing a quark level Lagrangian. With three solutions of LECs, all the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ systems with isospin $I=1/2$ can form bound states, in which different inputs of LECs may lead to distinguishable mass spectra. In addition, we also investigate the interactions of the charmed-bottom ${\Sigma }_c^{(\ast )}{\bar{B}}^{(\ast )}$, ${\Sigma }_b^{(\ast )}{D}^{(\ast )}$, and ${\Sigma }_b^{(\ast )}{\bar{B}}^{(\ast )}$ systems. Among the obtained bound states, the bindings become deeper when the reduced masses of the corresponding systems are heavier.

arXiv comment12 pages, 8 figures, 9 tables. Happy Spring Festival!

References in corpus (64)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Chiral Dynamics in Nucleons and Nuclei
• The $XYZ$ states: experimental and theoretical status and perspectives
• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
• X(3872): Hadronic Molecules in Effective Field Theory
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Model-independent evidence for $J/\psi p$ contributions to ${\Lambda }_b^0\to J/\psi p{K}^{-}$ decays
• Chiral perturbation theory for hadrons containing a heavy quark: the sequel
• ${\Lambda }_{c}N$ bound states revisited
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory
• 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
• Compact pentaquark structures
• Heavy Hadron Chiral Perturbation Theory
• $Z_c(3900)$: what has been really seen?
• Looking for a hidden-charm pentaquark state with strangeness $S=-1$ from ${\Xi }_b^{-}$ decay into $J/\psi K^{-}\Lambda$
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Possible strange hidden-charm pentaquarks from ${\Sigma }_c^{(\ast )}{\bar{D}}_s^{\ast }$ and ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{D}}^{\ast }$ interactions
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• Analysis of the doubly heavy baryon states and pentaquark states with QCD sum rules
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
• A practical parametrization for line shapes of near-threshold states
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Antinucleon-nucleon interaction in chiral effective field theory
• Determination of B*B pi coupling in unquenched QCD
• Possible ${\Lambda }_c{\Lambda }_c$ molecular bound state
• Pentaquarks
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Surveying exotic pentaquarks with the typical $QQqq\bar{q}$ configuration
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Doubly Charmed Pentaquarks
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Can chiral EFT give us satisfaction?
• Where is the stable Pentaquark
• A novel interpretation of the "${\Theta }^{+}(1540)$ pentaquark" peak
• Magnetic moments of the spin-$\frac{3}{2}$ singly heavy baryons
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• Present status on experimental search for pentaquarks
• Possible bound state of the double heavy meson-baryon system

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• A survey of heavy-heavy hadronic molecules
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• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
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• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
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• Electromagnetic properties of doubly heavy pentaquark states
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• $P_{cc}^N$ states in a unitarized coupled-channel approach
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• Spectrum of the molecular hexaquarks
• Prediction of five-flavored pentaquarks
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• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Doubly-charmed pentaquark states in a mass splitting model
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$