Coupled-Cluster Theory for Three-Body Hamiltonians

TitleCoupled-Cluster Theory for Three-Body Hamiltonians
Publication TypeJournal Article
Year of Publication2007
AuthorsHagen, G, Papenbrock, T, Dean, DJ, Schwenk, A, NHogga, A, Wloch, M, Piecuch, P
JournalPhysical Review C
Pagination11 pages
Date Published09/2007

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.