Four-quark spectroscopy within the hyperspherical formalism

Abstract

We present a generalization of the hyperspherical harmonic formalism to study systems made of quarks and antiquarks of the same flavor. This generalization is based on the symmetrization of the $N-$body wave function with respect to the symmetric group using the Barnea and Novoselsky algorithm. The formalism is applied to study four-quark systems by means of a constituent quark model successful in the description of the two- and three-quark systems. The results are compared to those obtained by means of variational approaches. Our analysis shows that four-quark systems with exotic $0^{+-}$ and non-exotic $2^{++}$ quantum numbers may be bound independently of the mass of the quark. $2^{+-}$ and $1^{+-}$ states become attractive only for larger mass of the quarks.

20 pages, 3 figures

References in corpus (13)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Exotica
• Constituent quark model study of the meson spectra
• Observation of String Breaking in QCD
• Quark-model study of few-baryon systems
• Four Quark Interpretation of Y(4260)
• A Comprehensive Four-Quark Interpretation of D_s(2317), D_s(2457) and D_s(2632)
• Constituent quark model study of light- and strange-baryon spectra
• Nature of the light scalar mesons
• Ab initio calculation of Li7 photodisintegration
• Search for a Charmonium Assignment for the X(3872)

Cited by in corpus (103)

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• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
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• Is X(3872) {\sl Really} a Molecular State?
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
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• Hunting for exotic doubly hidden-charm/bottom tetraquark states
• A non-relativistic model for the $[cc][\bar{c}\bar{c}]$ tetraquark
• Heavy-flavored tetraquark states with the $QQ\bar{Q}\bar{Q}$ configuration
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• New Hadron States
• All-heavy tetraquarks
• Analysis of the $QQ\bar{Q}\bar{Q}$ tetraquark states with QCD sum rules
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• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
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• String dynamics and metastability of fully-heavy tetraquarks
• Exotic mesons with double charm and bottom flavor
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Fully-heavy tetraquark spectra and production at hadron colliders
• Towards the understanding of fully-heavy tetraquark states from various models
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• Strong decays of fully-charm tetraquarks into di-charmonia
• Are there compact heavy four-quark bound states?
• Hidden-charm and bottom tetra- and pentaquarks with strangeness in the hadro-quarkonium and compact tetraquark models
• Scalar Fully-heavy Tetraquark States $Q{Q}^{\prime }\bar{Q}\overline{Q^{\prime }}$ in QCD Sum Rules
• Hadronic molecules in B decays
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• Gluonic Tetracharm Configuration of $X(6900)$
• Fully-heavy tetraquarks in strongly interacting medium
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• $0^{+}$ fully-charmed tetraquark states
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Tetraquark candidates in the LHCb's di-$J/\psi$ mass spectrum
• Dynamical study of $\mathbf{QQ}-\bar{\mathbf{u}}\bar{\mathbf{d}}$ mesons
• Nature of $X(6900)$ and its production mechanism at LHCb
• Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
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• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Do $c\bar{c}n\bar{n}$ bound states exist?
• The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations
• Hidden-Charm Tetraquarks and Charged Zc States
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• The possible tetraquark states $cc\bar{c}\bar{c}$ observed by the LHCb experiment
• Producing fully-charm structures in the $J/\psi$-pair invariant mass spectrum
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• Threshold corrections of ${\chi }_{\mathrm{c}}(2P)$ and ${\chi }_{\mathrm{b}}(3P)$ states and $J/\psi \rho$ and $J/\psi \omega$ transitions of the $X(3872)$ in a coupled-channel model
• Tetraquark Production in Double Parton Scattering
• Strong decays of the $XYZ$ states
• Triply heavy tetraquark states with the $QQ\bar{Q}\bar{q}$ configuration
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• Baryonium, tetra-quark state and glue-ball in large N_c QCD
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• Spectrum of the S-wave fully-heavy tetraquark states
• Tetraquark Spectroscopy: A Symmetry Analysis
• All-charm tetraquark in front form dynamics
• Revisit the tetraquark candidates in the $J/\psi J/\psi$ mass spectrum
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spectroscopy of all charm tetraquark states
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo
• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Hunting for tetraquarks in ultra-pheripheral heavy ion collisions
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
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• Exotic Hadrons at LHCb
• The two-photon decay of X(6900) from light-by-light scattering at the LHC
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• Unraveling the pattern of the $XYZ$ mesons
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• The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks
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• Production of X(3872) at PANDA
• The recoil correction and spin-orbit force for the possible $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states
• Tetraquarks with charm in coupled-channel formalism
• Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
• X(3872) as a molecular $D{\bar{D}}^{\ast }$ state in the Bethe-Salpeter equation approach
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• Hyperspherical harmonic formalism for tetraquarks
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• Covalent hadronic molecules induced by shared light quarks
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• Threshold effects in heavy quarkonium spectroscopy
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