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Title: Coupled-Cluster Theory for Three-Body Hamiltonians

Abstract

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 numeerical 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.

Authors:
 [1];  [1];  [1];  [2];  [3];  [4];  [4]
  1. ORNL
  2. TRIUMF, Canada
  3. Forschungszentrum Julich, Julich, Germany
  4. Michigan State University, East Lansing
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC)
OSTI Identifier:
932045
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review C; Journal Volume: 76; Journal Issue: 3
Country of Publication:
United States
Language:
English

Citation Formats

Hagen, Gaute, Papenbrock, Thomas F, Dean, David Jarvis, Schwenk, A., Nogga, A., Wloch, M., and Piecuch, P. Coupled-Cluster Theory for Three-Body Hamiltonians. United States: N. p., 2007. Web. doi:10.1103/PhysRevC.76.034302.
Hagen, Gaute, Papenbrock, Thomas F, Dean, David Jarvis, Schwenk, A., Nogga, A., Wloch, M., & Piecuch, P. Coupled-Cluster Theory for Three-Body Hamiltonians. United States. doi:10.1103/PhysRevC.76.034302.
Hagen, Gaute, Papenbrock, Thomas F, Dean, David Jarvis, Schwenk, A., Nogga, A., Wloch, M., and Piecuch, P. Mon . "Coupled-Cluster Theory for Three-Body Hamiltonians". United States. doi:10.1103/PhysRevC.76.034302.
@article{osti_932045,
title = {Coupled-Cluster Theory for Three-Body Hamiltonians},
author = {Hagen, Gaute and Papenbrock, Thomas F and Dean, David Jarvis and Schwenk, A. and Nogga, A. and Wloch, M. and Piecuch, P.},
abstractNote = {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 numeerical 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.},
doi = {10.1103/PhysRevC.76.034302},
journal = {Physical Review C},
number = 3,
volume = 76,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}