Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD

Abstract

Van der Waals potentials describing interactions between color-singlet mesons and/or baryons vanish at leading order in potential nonrelativistic quantum chromodynamics (pNRQCD). This result and constraints from Gauss's law are used to prove that weakly-coupled pNRQCD van der Waals potentials in generic non-Abelian gauge theories with only heavy quarks are too weak to form bound states whose color state is a product of color-singlets. Quantum Monte Carlo calculations of four, five, and six quarks with equal masses provide numerical evidence that exotic color configurations are higher energy than products of color-singlet hadrons, suggesting that equal-mass fully-heavy tetraquark, pentaquark, and hexaquark bound states do not exist at next-to-leading order in pNRQCD and at all orders in QCD-like theories in which all quark masses are asymptotically large. Mechanisms for generating hadron-hadron bound states are identified, which necessarily involve large quark-mass hierarchies, relativistic effects arising from the presence of sufficiently light quarks, or nonperturbative effects outside the scope of weakly-coupled pNRQCD.

arXiv comment23 pages, 6 figures. Journal version. Discussion expanded and minor corrections

References in corpus (90)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Chiral Dynamics in Nucleons and Nuclei
• The $XYZ$ states: experimental and theoretical status and perspectives
• Quantum Monte Carlo methods for nuclear physics
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• The static potential in QCD to two loops
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Optimization of quantum Monte Carlo wave functions by energy minimization
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Evidence for a Bound H-dibaryon from Lattice QCD
• Renormalization group scaling in nonrelativistic QCD
• The infrared behaviour of the static potential in perturbative QCD
• Hadron Scattering Lengths in Lattice QCD
• Nuclear forces in the chiral limit
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• Coupled Variations of Fundamental Couplings and Primordial Nucleosynthesis
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• A QCD Calculation of the Interaction of Quarkonium with Nuclei
• The QCD Potential at $O(1/m)$
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Most Strange Dibaryon from Lattice QCD
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• The Quark-Mass Dependence of Two-Nucleon Systems
• Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD
• Chiral perturbation theory
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Variation of Fundamental Couplings and Nuclear Forces
• Ultrasoft Effects in Heavy-Quarkonium Physics
• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Cosmological variation of deuteron binding energy, strong interaction and quark masses from big bang nucleosynthesis
• Calculation of Quarkonium Spectrum and $m_b,m_c$ to Order ${\alpha }_s^4$
• The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD
• Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice
• Review of Heavy Quarkonium at weak coupling
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• Matching at one loop for the four-quark operators in NRQCD
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Dark Matter as a weakly coupled Dark Baryon
• Helium Nuclei in Quenched Lattice QCD
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• The QCD static energy at NNNLL
• Nucleosynthesis and the variation of fundamental couplings
• Is J/psi-Nucleon Scattering Dominated by the Gluonic van der Waals Interaction?
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Dibaryon with highest charm number near unitarity from lattice QCD
• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Stability of tetrons
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• The $B_c$ mass up to order ${\alpha }_s^4$
• Quark mass variation constraints from Big Bang nucleosynthesis
• Deuteron-like heavy dibaryons from Lattice QCD
• Variational Study of Weakly Coupled Triply Heavy Baryons
• Long-range properties of $1S$ bottomonium states
• Running of the heavy quark production current and 1/k potential in QCD
• An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD
• Big Bang nucleosynthesis and cosmic microwave background constraints on the time variation of the Higgs vacuum expectation value
• A first estimate of triply heavy baryon masses from the pNRQCD perturbative static potential
• Two-Loop Static QCD Potential for General Colour State
• Analytic three-loop static potential
• A variational study of two-nucleon systems with lattice QCD
• The three-quark static potential in perturbation theory
• Early Universe Constraints on Time Variation of Fundamental Constants
• Dark atoms and composite dark matter
• Challenges for models with composite states
• Looking for Exotic Multiquark States in Nonleptonic B Decays
• Relations between Heavy-light Meson and Quark Masses
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• The Two-Loop Scale Dependence of the Static QCD Potential including Quark Masses
• Model-independent Study of Electric Dipole Transitions in Quarkonium
• Repurposing lattice QCD results for composite phenomenology
• Helium and Deuterium Abundances as a Test for the Time Variation of the Fine Structure Constant and the Higgs Vacuum Expectation Value
• Effective field theories for van der Waals interactions
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• WIMPs Without Weakness: Generalized Mass Window with Entropy Injection
• Pair structure of heavy tetraquark systems
• Colour octet potential to three loops
• Chromopolarizabilities of fully-heavy baryons
• Heavy quark and gluino potentials to two loops
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• Improved Constraints on the Variation of the Weak Scale from Big Bang Nucleosynthesis
• Matching the Standard Model to Heavy-Quark Effective Theory and Nonrelativistic QCD
• Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness