Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory

Abstract

The newly observed $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ at the LHCb experiment are very close to the ${\Sigma }_c\bar{D}$ and ${\Sigma }_c{\bar{D}}^{\ast }$ thresholds. In this work, we perform a systematic study and give a complete picture on the interactions between ${\Sigma }_c^{(\ast )}$ and ${\bar{D}}^{(\ast )}$ systems in the framework of heavy hadron chiral perturbation theory, where the short-range contact interaction, long-range one-pion-exchange contribution, and intermediate-range two-pion-exchange loop diagrams are all considered. We first investigate the three $P_c$ states without and with considering the ${\Lambda }_c$ contribution in the loop diagrams. It is difficult to simultaneously reproduce the three $P_c$s unless the effect of ${\Lambda }_c$ is included. The coupling between ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Lambda }_c{\bar{D}}^{(\ast )}$ channels is crucial for the formation of these $P_c$s. Our calculation supports the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ to be the $S$-wave hidden-charm $[{\Sigma }_c\bar{D}{]}_{J=1/2}^{I=1/2}$, $[{\Sigma }_c{\bar{D}}^{\ast }{]}_{J=1/2}^{I=1/2}$ and $[{\Sigma }_c{\bar{D}}^{\ast }{]}_{J=3/2}^{I=1/2}$ molecular pentaquarks, respectively. Our calculation disfavors the spin assignment $J^P={\frac{1}{2}}^{-}$ for $P_c(4457)$ and $J^P={\frac{3}{2}}^{-}$ for $P_c(4440)$, because the excessively enhanced spin-spin interaction is unreasonable in the present case. We obtain the complete mass spectra of the $[{\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}{]}_J$ systems with the fixed low energy constants. Our result indicates the existence of $[{\Sigma }_c^{\ast }{\bar{D}}^{\ast }{]}_J(J=\frac{1}{2},\frac{3}{2},\frac{5}{2})$ hadronic molecules. The previously reported $P_c(4380)$ might be a deeper bound one. Additionally, we also study the hidden-bottom ${\Sigma }_b^{(\ast )}{B}^{(\ast )}$ systems, and predict seven bound molecular states, which could serve as a guidance for future experiments....

42 pages, 15 figures, and 4 tables

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• Chiral effective field theory and nuclear forces
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
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• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
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Cited by in corpus (55)

• 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
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Revisiting the nature of the $P_c$ pentaquarks
• Systematics of the heavy flavor hadronic molecules
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• 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 $X(2900)$?
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• How to reveal the nature of three or more pentaquark states?
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Heavy flavor molecular states with strangeness
• Spectrum of the molecular pentaquarks
• Revealing the nature of hidden charm pentaquarks with machine learning
• Compact hidden charm pentaquark states and QCD isomers
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Heavy flavor pentaquarks with four heavy quarks
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• Hidden-charm pentaquark states in a mass splitting model
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• $P_c$ states and their open-charm decays with the complex scaling method
• Prompt production of the hidden charm pentaquarks in the LHC
• Semi-inclusive lepto-production of hidden-charm exotic hadrons
• Search for hidden-charm pentaquark states in three-body final states
• Evidence supporting the existence of $P_c(4380{)}^{\pm }$ from the recent measurements of $B_s\to J/\psi p\bar{p}$
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Spectroscopic Analysis of Hidden-Charm Pentaquarks
• The Production of Singly Charmed Pentaquark $\bar{c}qqqq$ from Bottom Baryon
• Molecular pentaquark states with open charm and bottom flavors
• Probing the hidden-bottom pentaquark resonances in photonuclear bottomonium production near threshold: differential observables
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Octet baryon and heavy meson interactions in chiral effective field theory
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Exotic Heavy Hadrons
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Hadronic molecules and multiquark states
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson