Nuclear forces from lattice QCD

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...

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Bibliographic Details
Main Author: Ishii, Noriyoshi
Format: Conference Proceeding
Language:English
Subjects:
BARYON-BARYON INTERACTIONS
BARYONS
BETHE-SALPETER EQUATION
CONSTRUCTIVE FIELD THEORY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXPANSION
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
HYPERONS
INTERACTIONS
LATTICE FIELD THEORY
MECHANICS
NUCLEAR FORCES
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUARKS
SCATTERING
SCHROEDINGER EQUATION
SIMULATION
STRANGE PARTICLES
WAVE EQUATIONS
WAVE FUNCTIONS
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Description
Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3584068