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Phys. Rev. C 73, 044312 (2006) [13 pages]

Hartree-Fock and many body perturbation theory with correlated realistic NN interactions

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R. Roth*, P. Papakonstantinou, N. Paar, and H. Hergert
Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany

T. Neff
National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA

H. Feldmeier
Gesellschaft für Schwerionenforschung, Planckstrasse 1, D-64291 Darmstadt, Germany

Received 11 October 2005; published 17 April 2006

We employ correlated realistic nucleon-nucleon interactions for the description of nuclear ground states throughout the nuclear chart within the Hartree-Fock approximation. The crucial short-range central and tensor correlations, which are induced by the realistic interaction and cannot be described by the Hartree-Fock many-body state itself, are included explicitly by a state-independent unitary transformation in the framework of the unitary correlation operator method (UCOM). Using the correlated realistic interaction VUCOM resulting from the Argonne V18 potential, bound nuclei are already obtained on the Hartree-Fock level. However, the binding energies are smaller than the experimental values because long-range correlations have not been accounted for. Their inclusion by means of many-body perturbation theory leads to a remarkable agreement with experimental binding energies over the whole mass range from 4He to 208Pb, even far off the valley of stability. The observed perturbative character of the residual long-range correlations and the apparently small net effect of three-body forces provides promising perspectives for a unified nuclear structure description.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.73.044312
DOI:
10.1103/PhysRevC.73.044312
PACS:
21.30.Fe, 21.60.Jz, 13.75.Cs

*Electronic address: robert.roth@physik.tu-darmstadt.de