Analyzing doubly heavy tetra- and penta-quark states by variational method

Abstract

Motivated by the very recent observations of hidden charm pentaquarks $P_c(4312{)}^{+}$, $P_c(4440{)}^{+}$ and $P_c(4457{)}^{+}$ of the LHCb Collaboration, we systematically study the spectra of the doubly-heavy (with or without charm/bottom numbers) pentaquarks and tetraquarks in non-relativistic constituent quark model. The model independent variational method is employed to solve the Schrödinger equation, where the test functions adopted are symmetric for the light quarks. In our study, the $P_c(4312{)}^{+}$ may be assigned as the ground state with spin-parity ${\frac{1}{2}}^{-}$ or ${\frac{3}{2}}^{-}$, while the $P_c(4440{)}^{+}$ and $P_c(4457{)}^{+}$ may be assigned as the excited states with ${\frac{1}{2}}^{-}$, which might all belong to the sextet with $s_{c\bar{c}}=1$ and $s_{\ell }=\frac{3}{2}$. It is notable that our working framework is quite similar to that of Hydrogen molecule, but with different potential structure. We also classify these pentaquarks and tetraquarks in light of the heavy quark symmetry and their decay properties are analyzed. Several promising channels for the observation of doubly-heavy pentaquarks and doubly-heavy tetraquarks in experiment are proposed.

11 pages, 2 figures, 7 tables; added new discussions

References in corpus (12)

• Pentaquark and Tetraquark states
• 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
• 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
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• 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
• Hidden-charm pentaquarks and $P_c$ states
• Investigating the hidden-charm and hidden-bottom pentaquark resonances in scattering process

Cited by in corpus (51)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-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
• Analysis of the $P_c(4312)$, $P_c(4440)$, $P_c(4457)$ and related hidden-charm pentaquark states with QCD sum rules
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• Revisiting the nature of the $P_c$ pentaquarks
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• Discovery potentials of double-charm tetraquarks
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• Doubly heavy tetraquarks in an extended chromomagnetic model
• Nucleon Resonances with Hidden Charm in $\gamma p$ reactions
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• Doubly Charmed Pentaquarks
• How to reveal the nature of three or more pentaquark states?
• Hidden charm pentaquark states in a diquark model
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Hidden-charm pentaquark states in a mass splitting model
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
• Triply charmed dibaryons in the one boson exchange model
• Pentaquark components in low-lying baryon resonances
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Systematic study on production of hidden-bottom pentaquark via $\gamma p$ and ${\pi }^{-}p$ scatterings
• Prompt production of the hidden charm pentaquarks in the LHC
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Double-heavy tetraquarks with strangeness in the chiral quark model
• $QQqq\bar{q}$ Quark System, Compact Pentaquark, and Gauge/String Duality
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Prediction of five-flavored pentaquarks
• Production of vector mesons in pentaquark states resonance channel in $p$-$A$ ultraperipheral collisions
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Study of the hidden charm pentaquarks ${\Lambda }_{c\bar{c}}$ above $4$ GeV
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Molecular interpretation of the LHCb pentaquarks from an analysis of $J/\psi p$ spectrum
• Quantum Numbers of the Pentaquark States $P_c^{+}$ via Symmetry Analysis
• Hadronic molecules and multiquark states
• $P_c(4312{)}^{+}$ and $P_c(4337{)}^{+}$ as interfering ${\Sigma }_c\bar{D}$ and ${\Lambda }_c{\bar{D}}^{\ast }$ threshold cusps
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson