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Coupled-cluster theory for three-body Hamiltonians

2007/04/30 by G. Hagen, T. Papenbrock, D. J. Dean +4 · 1 citation
Physics and Astronomy · #nucl-th

paper · pdf · doi:10.1103/physrevc.76.034302

published as Phys.Rev.C76:034302,2007 · 12 pages, 9 figures

arxiv created 2007/09/07 · arxiv updated 2009/12/01

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 numerical implementation. We employ low-momentum two- and three-nucleon interactions and calculate the binding energy of He-4. 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.

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