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Coupled-cluster theory for three-body Hamiltonians

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arxiv 0704.2854 v2 pith:CZ5OCKAR submitted 2007-04-23 nucl-th

Coupled-cluster theory for three-body Hamiltonians

G. Hagen , T. Papenbrock , D.J. Dean , A. Schwenk , A. Nogga , M. Wloch , P. Piecuch This is my paper
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keywords coupled-clusterthree-bodyequationshamiltoniansnormalone-orderingterms
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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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