Exploratory study of nucleon-nucleon scattering lengths in lattice QCD

Journal Article · Mon Oct 17 04:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.2176· OSTI ID:7006308

Fukugita, M; Kuramashi, Y; Mino, H; Okawa, M; Ukawa, A ^[1]

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1. Yukawa Institute, Kyoto University, Kyoto 606 (Japan) National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305 (Japan) Faculty of Engineering, Yamanashi University, Kofu 404 (Japan) Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)

An exploratory study is made of the nucleon-nucleon [ital s]-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The [pi]-[ital N] and [pi]-[pi] scattering lengths are also calculated for comparison. The calculations are made with heavy quarks corresponding to [ital m][sub [pi]]/[ital m][sub [rho]][approx]0.73--0.95. The results show that the [ital N]-[ital N] system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the [pi]-[ital N] and [pi]-[pi] cases, a trend which is qualitatively consistent with the experiment. Problems toward a more realistic calculation for light quarks are discussed.

• OSTI ID: 7006308
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 73:16; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

662230 -- Quantum Chromodynamics-- (1992-)
662340* -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
DIMENSIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
LATTICE FIELD THEORY
LENGTH
MESON-BARYON INTERACTIONS
MESON-MESON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION-NUCLEON INTERACTIONS
PION-PION INTERACTIONS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
S WAVES
SCATTERING LENGTHS
SPIN