Nuclear forces from lattice QCD

Journal Article · Fri May 06 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3584068· OSTI ID:21516831

Ishii, Noriyoshi ^[1]

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1. Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)

Lattice QCD construction of nuclear forces is reviewed. In this method, the nuclear potentials are constructed by solving the Schroedinger equation, where equal-time Nambu-Bethe-Salpeter (NBS) wave functions are regarded as quantum mechanical wave functions. Since the long distance behavior of equal-time NBS wave functions is controlled by the scattering phase, which is in exactly the same way as scattering wave functions in quantum mechanics, the resulting potentials are faithful to the NN scattering data. The derivative expansion of this potential leads to the central and the tensor potentials at the leading order. Some of numerical results of these two potentials are shown based on the quenched QCD.

• OSTI ID: 21516831
• Journal Information: AIP Conference Proceedings, Vol. 1355, Issue 1; Conference: International symposium on new faces of atomic nuclei, Okinawa (Japan), 15-17 Nov 2010; Other Information: DOI: 10.1063/1.3584068; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
EXPANSION
HYPERONS
LATTICE FIELD THEORY
NUCLEAR FORCES
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM MECHANICS
QUARKS
SCATTERING
SCHROEDINGER EQUATION
SIMULATION
WAVE FUNCTIONS
BARYON-BARYON INTERACTIONS
BARYONS
CONSTRUCTIVE FIELD THEORY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
POTENTIALS
QUANTUM FIELD THEORY
STRANGE PARTICLES
WAVE EQUATIONS