English

Coupled-cluster theory for three-body Hamiltonians

Nuclear Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.0704.2854,
  title  = {Coupled-cluster theory for three-body Hamiltonians},
  author = {G. Hagen and T. Papenbrock and D. J. Dean and A. Schwenk and A. Nogga and M. Wloch and P. Piecuch},
  journal= {arXiv preprint arXiv:0704.2854},
  year   = {2008}
}
R2 v1 2026-06-21T08:20:52.308Z