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Phys. Rev. C 76, 034302 (2007) [11 pages]

Coupled-cluster theory for three-body Hamiltonians

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G. Hagen1,2,3, T. Papenbrock1,2, D. J. Dean1, A. Schwenk4,5, A. Nogga6, M. Włoch7, and P. Piecuch7
1Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA
2Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
3Centre of Mathematics for Applications, University of Oslo, N-0316 Oslo, Norway
4TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada, V6T 2A3
5Department of Physics, University of Washington, Seattle, Washington 98195, USA
6Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany
7Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA

Received 24 April 2007; published 4 September 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.76.034302
DOI:
10.1103/PhysRevC.76.034302
PACS:
21.10.Dr, 21.60.-n, 31.15.Dv, 21.30.-x
 
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