Lattice QCD approach to Nuclear Physics

Abstract

We review recent progress of the HAL QCD method which was recently proposed to investigate hadron interactions in lattice QCD. The strategy to extract the energy-independent non-local potential in lattice QCD is explained in detail. The method is applied to study nucleon-nucleon, nucleon-hyperon, hyperon-hyperon and meson-baryon interactions. Several extensions of the method are also discussed.

43 pages, 23 figures, to appear in Progress of Theoretical and Experimental Physics (PTEP), Special Issue :A: Computational Approach in particle, Nuclear and Astrophysics

References in corpus (28)

• Modern Theory of Nuclear Forces
• Realistic models of pion-exchange three-nucleon interactions
• Three-body forces and the limit of oxygen isotopes
• 2+1 Flavor Lattice QCD toward the Physical Point
• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Reworking the Tucson-Melbourne Three-Nucleon Potential
• Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice
• Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
• Evidence for a Bound H-dibaryon from Lattice QCD
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Two-Baryon Potentials and H-Dibaryon from 3-flavor Lattice QCD Simulations
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• Hyperon-nucleon force from lattice QCD
• Helium Nuclei in Quenched Lattice QCD
• Building the International Lattice Data Grid
• Extraction of Hadron Interactions above Inelastic Threshold in Lattice QCD
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• Charmonium-nucleon potential from lattice QCD
• Nucleon-Nucleon Potential and its Non-locality in Lattice QCD
• Strangeness in Compact Stars
• Three Nucleon Force Effects in Intermediate Energy Deuteron Analyzing Powers for dp Elastic Scattering
• Three-Body Nuclear Forces from a Matrix Model
• Operator product expansion and the short distance behavior of 3-flavor baryon potentials
• Nuclear forces from quenched and 2+1 flavor lattice QCD using the PACS-CS gauge configurations
• An extension to the Luscher's finite volume method above inelastic threashold (formalism)
• Coupled channel approach to (S,I)=(-2,0) baryon-baryon interactions from lattice QCD
• Bound H-dibaryon from Full QCD Simulations on the Lattice

Cited by in corpus (26)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Scattering processes and resonances from lattice QCD
• Structure and compositeness of hadron resonances
• Heavy Hadrons in Nuclear Matter
• Towards a theory of hadron resonances
• Towards grounding nuclear physics in QCD
• QCD and the Strange Baryon Spectrum
• Coupled channel approach to strangeness S = -2 baryon-bayron interactions in Lattice QCD
• Spin-Orbit Force from Lattice QCD
• ${\Lambda }_{c}N$ interaction from lattice QCD and its application to ${\Lambda }_c$ hypernuclei
• Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Phase shifts in I=2 ππ-scattering from two lattice approaches
• Hadron resonance gas with van der Waals interactions
• Toward an understanding of short distance repulsions among baryons in QCD -- NBS wave functions and operator product expansion --
• Tribaryon configurations and the inevitable three nucleon repulsions at short distance
• The Charmonium Potential at Non-Zero Temperature
• Lattice QCD studies on baryon interactions from Lüscher's finite volume method and HAL QCD method
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction
• Charmonium Potentials At Non-Zero Temperature
• Quark-gluon plasma phenomenology from the lattice
• Selected results on hadron structure using state-of-the-art lattice QCD simulations
• Charmonium Potentials at Finite Temperature
• Few-baryon interactions from lattice QCD
• Baryon interactions in lattice QCD: the direct method vs. the HAL QCD potential method
• Unquenched simulations of four-nucleon interactions