Hadron interactions in lattice QCD

Abstract

Progress on the potential method, recently proposed to investigate hadron interactions in lattice QCD, is reviewed. The strategy to extract the potential in lattice QCD is explained in detail. The method is applied to extract $NN$ potentials, hyperon potentials and the meson-baryon potentials. A theoretical investigation is made to understand the origin of the repulsive core using the operator product expansion. Some recent extensions of the method are also discussed.

52 pages, 65 figures, Review to appear in "Progress in Particle and Nuclear Physics"

References in corpus (15)

• Nuclear Force from Lattice QCD
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Evidence for a Bound H-dibaryon from Lattice QCD
• Nuclear Physics from Lattice QCD
• Hypernuclear Physics for Neutron Stars
• Scalar mesons in a finite volume
• Hyperon-nucleon force from lattice QCD
• Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• BB Potentials in Quenched Lattice QCD
• Charmonium-nucleon potential from lattice QCD
• Hadronic Interactions from Lattice QCD
• Binding of charmonium with two- and three-body nuclei
• Operator product expansion and the short distance behavior of 3-flavor baryon potentials
• Bethe--Salpeter wave functions in integrable models

Cited by in corpus (29)

• Neutron Stars and the Nuclear Equation of State
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Are two nucleons bound in lattice QCD for heavy quark masses? -- Consistency check with Lüscher's finite volume formula --
• Construction of energy-independent potentials above inelastic thresholds in quantum field theories
• A variational study of two-nucleon systems with lattice QCD
• Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Nucleon-nucleon interactions via Lattice QCD: Methodology --HAL QCD approach to extract hadronic interactions in lattice QCD--
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for multi-particles in quantum field theories
• Massive neutron stars and $\Lambda$-hypernuclei in relativistic mean field models
• Error analysis of nuclear forces and effective interactions
• Study of decuplet baryon resonances from lattice QCD
• Emergence of the $\rho$ resonance from the HAL QCD potential in lattice QCD
• $I=2$ $\pi \pi$ scattering phase shift from the HAL QCD method with the LapH smearing
• Three pion nucleon coupling constants
• $I=2$ $\pi \pi$ potential in the HAL QCD method with all-to-all propagators
• Toward an understanding of short distance repulsions among baryons in QCD -- NBS wave functions and operator product expansion --
• Short distance repulsion in 3 nucleon forces from perturbative QCD
• Hadron Structure in Lattice QCD
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core
• The HAL QCD potential in $I=1$ $\pi \pi$ system with the $\rho$ meson bound state
• Low energy peripheral scaling in Nucleon-Nucleon Scattering and uncertainty quantification
• Lattice QCD and Baryon-Baryon Interactions
• Intrinsic three-body nuclear interaction from a constituent quark model
• Light and heavy $\Lambda$ hyperclusters in nuclear matter with relativistic-mean-field models