Coupled-Cluster Theory for Three-Body Hamiltonians

By G. Hagen, Thomas Papenbrock, David J. Dean, A. Schwenk, A. Nogga, M. Włoch, Piotr Piecuch. 2007

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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 {sup 4}He. 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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/744668ecdee82b53709e1664cb2ed455db190bea