Ground state of finite nuclei evaluated from realistic interactions

Abstract

Ground state properties of finite nuclei (${}^{16}$O and ${}^{40}$Ca) are evaluated from realistic nucleon-nucleon interactions. The calculations are based on the Brueckner-Hartree-Fock approximation. Special attention is paid to the role of the energy spectrum for the particle states, in particular for those close to the Fermi energy. Additional binding energy is obtained from the inclusion of the hole-hole scattering term within the framework of the Green function approach. Results for the energy distribution of the single-particle strength and the sensitivity to the nucleon-nucleon interaction are investigated. For that purpose three modern nucleon-nucleon interactions are employed: the Argonne V18, the charge dependent Bonn potential and a realistic nucleon-nucleon interaction which is based on chiral perturbation theory and which has recently been fitted by the Idaho group.

14 pages 5 figures

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• The structure of nuclear systems derived from low momentum nucleon-nucleon potentials
• Extension of the Random Phase Approximation including the self-consistent coupling to two-phonon contributions
• Single particle spectra based of modern effective interactions
• Doubly magic nuclei from Lattice QCD forces at $M_{PS}=$469 MeV/c${}^2$
• Recent Applications of Self-Consistent Green's Function Theory to Nuclei