Exploring Three Nucleon Forces in Lattice QCD

Journal Article · Fri Oct 21 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3647473· OSTI ID:21612000

Doi, Takumi ^[1]

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1. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571 (Japan)

We study the three nucleon force in N{sub f} = 2 dynamical clover fermion lattice QCD, utilizing the Nambu-Bethe-Salpeter wave function of the three nucleon system. Since parity-odd two nucleon potentials are not available in lattice QCD at this moment, we develop a new formulation to extract the genuine three nucleon force which requires only the information of parity-even two nucleon potentials. In order to handle the extremely expensive calculation cost, we consider a specific three-dimensional coordinate configuration for the three nucleons. We find that the linear setup is advantageous, where nucleons are aligned linearly with equal spacings. The lattice calculation is performed with 16{sup 3}x32 configurations at {beta} = 1.95, m{sub {pi}} = 1.13 GeV generated by CP-PACS Collaboration, and the result of the three nucleon force in triton channel is presented.

• OSTI ID: 21612000
• Journal Information: AIP Conference Proceedings, Vol. 1388, Issue 1; Conference: BARYONS' 10: International conference on the structure of baryons, Osaka (Japan), 7-11 Dec 2010; Other Information: DOI: 10.1063/1.3647473; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
GEV RANGE
HYPERONS
LATTICE FIELD THEORY
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PARITY
PERTURBED ANGULAR CORRELATION
POTENTIALS
QUANTUM CHROMODYNAMICS
THREE-DIMENSIONAL CALCULATIONS
TRITONS
WAVE FUNCTIONS
ANGULAR CORRELATION
BARYONS
CHARGED PARTICLES
CONSTRUCTIVE FIELD THEORY
CORRELATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
STRANGE PARTICLES