Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics

Abstract

The nuclear force acting between protons and neutrons is studied in the Monte Carlo simulations of the fundamental theory of the strong interaction, the quantum chromodynamics defined on the hypercubic space-time lattice. After a brief summary of the empirical nucleon-nucleon (NN) potentials which can fit the NN scattering experiments in high precision, we outline the basic formulation to derive the potential between the extended objects such as the nucleons composed of quarks. The equal-time Bethe-Salpeter amplitude is a key ingredient for defining the NN potential on the lattice. We show the results of the numerical simulations on a $32^4$ lattice with the lattice spacing $a\simeq 0.137$fm (lattice volume (4.4 fm)${}^4$) in the quenched approximation. The calculation was carried out using the massively parallel computer Blue Gene/L at KEK. We found that the calculated NN potential at low energy has basic features expected from the empirical NN potentials; attraction at long and medium distances and the repulsive core at short distance. Various future directions along this line of research are also summarized.

13 pages, 4 figures, version accepted for publication in "Computational Science & Discovery" (IOP)

References in corpus (8)

• Nuclear Force from Lattice QCD
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Hyperon-nucleon force from lattice QCD
• Chiral SU(3) Dynamics and Antikaon-Nuclear quasibound States
• Overview and Perspectives in Nuclear Physics
• Yukawa's Pion, Low-Energy QCD and Nuclear Chiral Dynamics
• Nf=2+1 dynamical Wilson quark simulation toward the physical point
• Lattice QCD approach to nuclear force

Cited by in corpus (8)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Nuclear Physics from Lattice QCD
• Hyperon-nucleon force from lattice QCD
• Construction of energy-independent potentials above inelastic thresholds in quantum field theories
• Lattice QCD approach to Nuclear Physics
• Toward an understanding of short distance repulsions among baryons in QCD -- NBS wave functions and operator product expansion --
• Central and tensor Lambda-nucleon potentials from lattice QCD
• Baryon-Baryon Interactions from Lattice QCD