Coupled-Cluster Theory for Three-Body Hamiltonians
|Title||Coupled-Cluster Theory for Three-Body Hamiltonians|
|Publication Type||Journal Article|
|Year of Publication||2007|
|Authors||Hagen, G, Papenbrock, T, Dean, DJ, Schwenk, A, NHogga, A, Wloch, M, Piecuch, P|
|Journal||Physical Review C|
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.