Published September 2007
| Version v1
Journal article
Coupled-cluster theory for three-body Hamiltonians
Creators
- 1. Centre of Mathematics for Applications, University of Oslo, N-0316 Oslo (Norway)
- 2. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States)
- 3. Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831 (United States)
- 4. Department of Physics, University of Washington, Seattle, Washington 98195 (United States)
- 5. TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (Canada)
- 6. Institut fuer Kernphysik, Forschungszentrum Juelich, D-52425 Juelich (Germany)
- 7. Department of Chemistry, Michigan State University, East Lansing, Michigan 48824 (United States)
Description
We derive coupled-cluster equations for three-body Hamiltonians. The equations for the one- and two-body cluster amplitudes are presented in a factorized form that leads to an efficient numerical implementation. We employ low-momentum two- and three-nucleon interactions and calculate the binding energy of 4He. The results show that the main contribution of the three-nucleon interaction stems from its density-dependent zero-, one-, and two-body terms that result from the normal ordering of the Hamiltonian in coupled-cluster theory. The residual three-body terms that remain after normal ordering can be neglected
Additional details
Identifiers
- DOI
- 10.1103/PhysRevC.76.034302;
- arXiv
- arXiv:0704.2854v2;
Publishing Information
- Journal Title
- Physical Review. C, Nuclear Physics
- Journal Volume
- 76
- Journal Issue
- 3
- Journal Page Range
- p. 034302-034302.11
- ISSN
- 0556-2813
- CODEN
- PRVCAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39079296
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS; S74: ATOMIC AND MOLECULAR PHYSICS;
- Descriptors DEI
- BINDING ENERGY; CLUSTER MODEL; HAMILTONIANS; HELIUM 4; NUCLEAR STRUCTURE; NUCLEON-NUCLEON INTERACTIONS; NUCLEONS; THREE-BODY PROBLEM; TWO-BODY PROBLEM
- Descriptors DEC
- BARYON-BARYON INTERACTIONS; BARYONS; ELEMENTARY PARTICLES; ENERGY; EVEN-EVEN NUCLEI; FERMIONS; HADRON-HADRON INTERACTIONS; HADRONS; HELIUM ISOTOPES; INTERACTIONS; ISOTOPES; LIGHT NUCLEI; MANY-BODY PROBLEM; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; NUCLEI; PARTICLE INTERACTIONS; QUANTUM OPERATORS; STABLE ISOTOPES
Optional Information
- Notes
- (c) 2007 The American Physical Society