Tetraquarks in holographic QCD

Abstract

Using a soft-wall AdS/QCD approach we derive the Schrödinger-type equation of motion for the tetraquark wave function, which is dual to the dimension-4 AdS bulk profile. The latter coincides with the number of constituents in the leading Fock state of the tetraquark. The obtained equation of motion is solved analytically, providing predictions for both the tetraquark wave function and its mass. A low mass limit for possible tetraquark states is given by $M\ge 2\kappa =1$ GeV, where $\kappa =0.5$ GeV is the typical value of the scale parameter in soft-wall AdS/QCD. We confirm results of the COMPASS Collaboration recently reported on the discovery of the $a_1(1414)$ state, interpreted as a tetraquark state composed of light quarks and having $J^{PC}=1^{++}$. Our prediction for the mass of this state, $M_{a_1}=\sqrt{2}$ GeV $\simeq 1.414$ GeV, is in good agreement with the COMPASS result $M_{a_1}=1.414_{-0.013}^{+0.015}$ GeV. Next we included finite quark mass effects, which are essential for the tetraquark states involving heavy quarks.

arXiv comment12 pages

References in corpus (59)

• Heavy quarkonium: progress, puzzles, and opportunities
• The hidden-charm pentaquark and tetraquark states
• Linear Confinement and AdS/QCD
• Multiquark Resonances
• Heavy-Quark QCD Exotica
• Light-Front Holographic QCD and Emerging Confinement
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Short Range Structure in the X(3872)
• New Charmonium States in QCD Sum Rules: a Concise Review
• Heavy quark spin structure in Z_b resonances
• Four-Quark Hadrons: an Updated Review
• Masses of heavy tetraquarks in the relativistic quark model
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• Light and heavy mesons in a soft-wall holographic approach
• 1/q^2 Corrections and Gauge/String Duality
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Dilaton in a soft-wall holographic approach to mesons and baryons
• Hadronic molecule structure of the Y(3940) and Y(4140)
• Estimate for the X(3872) to gamma J/psi decay width
• Excited heavy tetraquarks with hidden charm
• An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction
• Meson Transition Form Factors in Light-Front Holographic QCD
• Analysis of the Pion Wave Function in Light-Cone Formalism
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Searching for observable effects induced by anomalous triangle singularities
• On the nature of $a_1(1420)$
• J/psi gamma and psi(2S) gamma decay modes of the X(3872)
• A New Hadron Spectroscopy
• Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
• Observation of a new narrow axial-vector meson $a_1(1420)$
• Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement
• Universal Effective Hadron Dynamics from Superconformal Algebra
• The "$a_1(1420)$" peak as the $\pi f_0(980)$ decay mode of the $a_1(1260)$
• Hadrons in AdS / QCD correspondence
• Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD
• Masses of light tetraquarks and scalar mesons in the relativistic quark model
• One-photon decay of the tetraquark state $X(3872)\to \gamma +J/\psi$ in a relativistic constituent quark model with infrared confinement
• The QCD Dynamics of Tetraquark Production
• Four-quark structure of Zc(3900), Z(4430) and Xb(5568) states
• Scalar hadrons in $Ad{S}_5\times S^5$
• A dynamical model for longitudinal wave functions in light-front holographic QCD
• Masses of tetraquarks with open charm and bottom
• Nucleon structure in a light-front quark model consistent with quark counting rules and data
• Hidden-charm and radiative decays of the Z(4430) as a hadronic D_1 \bar{D^\ast} bound state
• $a_1(1420)$ resonance as a tetraquark state and its isospin partner
• Recent progress on the study of the charmoniumlike states
• Peak locations and relative phase of different decay modes of the $a_1$ axial vector resonance in diffractive production
• Light scalar tetraquarks from a holographic perspective
• Light-front potential for heavy quarkonia constrained by the holographic soft-wall model
• From Tetraquark to Hexaquark: A Systematic Study of Heavy Exotics in the Large $N_c$ Limit
• $a_1(1260),a_1(1420)$ and the production in heavy meson decays
• QCD Compositeness as Revealed in Exclusive Vector Boson Reactions through Double-Photon Annihilation: $e^{+}{e}^{-}\to \gamma {\gamma }^{\ast }\to \gamma V^0$ and $e^{+}{e}^{-}\to {\gamma }^{\ast }{\gamma }^{\ast }\to V^0{V}^0$
• On the constituent counting rules for hard exclusive processes involving multiquark states
• Semileptonic Decays of Heavy Tetraquarks
• Isospin-violating strong decays of scalar single-heavy tetraquarks
• Constituent counting rule for exclusive production of heavy quarkoniumlike exotic resonance and a light hadron
• Light-front holographic QCD with generic dilaton profile

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• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Mesons in a soft-wall AdS-Schwarzschild approach at low temperature
• $Z_b(10610)$ and $Z_b^{\prime }(10650)$ decays in a covariant quark model
• Baryons in a soft-wall AdS-Schwarzschild approach at low temperature
• Nucleon resonances with higher spins in soft-wall AdS/QCD
• Test of the multiquark structure of $a_1(1420)$ in strong two-body decays
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• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction
• Meson masses and decay constants in holographic QCD consistent with ChPT and HQET
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• The new $a_1(1420)$ state: structure, mass and width
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