Heavy tetraquark confining potential in Coulomb gauge QCD

Abstract

We present an analytic nonperturbative solution of the Yakubovsky equation for tetraquark states in the case of equal separations and energies, and demonstrate a direct connection between the tetraquark confinement potential and the temporal gluon propagator. To this end we employ a leading-order heavy quark mass expansion of the Coulomb gauge QCD action, and use the dressed two-point functions of the Yang-Mills sector only. As a result we find a bound state energy that rises linear with distance and a string tension twice as large as in a $q\bar{q}$-system.

arXiv comment8 pages, 1 figure

References in corpus (32)

• Heavy quarkonium: progress, puzzles, and opportunities
• Heavy Quark Symmetry
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Infrared Properties of QCD from Dyson-Schwinger equations
• A new look at scalar mesons
• Putative Light Scalar Nonet
• Masses of heavy tetraquarks in the relativistic quark model
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• No confinement without Coulomb confinement
• Tetraquark bound states in a Bethe-Salpeter approach
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Detailed Analysis of the Tetraquark Potential and Flip-Flop in SU(3) Lattice QCD
• Probing Unquenching Effects in the Gluon Polarisation in Light Mesons
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Tetraquark spectroscopy
• Renormalization-group Calculation of Color-Coulomb Potential
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• Leading order infrared quantum chromodynamics in Coulomb gauge
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Coulomb gauge confinement in the heavy quark limit
• Quarks in Coulomb gauge perturbation theory
• Ghost propagator and the Coulomb form factor from the lattice
• The Wilson loop from a Dyson equation
• Three-quark confinement potential from the Faddeev equation
• On the temporal Wilson loop in the Hamiltonian approach in Coulomb gauge
• Bethe-Salpeter equation at leading order in Coulomb gauge
• Dyson-Schwinger approach to strongly coupled theories
• Gauge Orbits and the Coulomb Potential

Cited by in corpus (4)

• Spectra of heavy mesons in the Bethe-Salpeter approach
• Lattice QCD static potentials of the meson-meson and tetraquark systems computed with both quenched and full QCD
• Would a Deeply Bound $b\bar{b}b\bar{b}$ Tetraquark Meson be Observed at the LHC?
• Covariant equations for the tetraquark and more