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.

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

References in corpus (20)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Evidence for a Bound H-dibaryon from Lattice QCD
• Coupled Variations of Fundamental Couplings and Primordial Nucleosynthesis
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Chiral perturbation theory
• Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Dark Matter as a weakly coupled Dark Baryon
• The QCD static energy at NNNLL
• Stability of tetrons
• Quark mass variation constraints from Big Bang nucleosynthesis
• Variational Study of Weakly Coupled Triply Heavy Baryons
• Analytic three-loop static potential
• Early Universe Constraints on Time Variation of Fundamental Constants
• Challenges for models with composite states
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Model-independent Study of Electric Dipole Transitions in Quarkonium
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Pair structure of heavy tetraquark systems
• Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness