A. Covello

Shell-model calculations and realistic effective interactions

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction between the valence nucleons is derived from the free nucleon-nucleon potential. The significant progress made in this field within the last decade is emphasized, in particular as regards the so-called Vlow−k approach to the renormalization of the bare nucleon-nucleon interaction. In the last part of the review we first give a survey of realistic shell-model calculations from early to present days. Then, we report recent results for neutron-rich nuclei near doubly magic 132 Sn and for the whole even-mass N = 82 isotonic chain. These illustrate how shell-model effective interactions derived from modern nucleon-nucleon potentials are able to provide an accurate description of nuclear structure properties.

Ground-state properties of closed-shell nuclei with low-momentum realistic interactions

Ground-state properties of

Nuclear structure calculations and modern nucleon-nucleon potentials

{}^{16}\mathrm{O}

Realistic shell-model calculations for proton particle-neutron hole nuclei around 132 Sn

and

Shell-model calculations for neutron-rich carbon isotopes with a chiral nucleon-nucleon potential

{}^{40}\mathrm{Ca}

Structure of Sn isotopes beyond N=82

are calculated with a low-momentum nucleon-nucleon potential

Effective shell-model hamiltonians from realistic nucleon-nucleon potentials within a perturbative approach

{V}_{\mathrm{low}\ensuremath{-}\mathrm{k}},

Microscopic nuclear structure based upon a chiral NN potential

derived from the chiral next-to-next-to-next-to-leading-order interaction recently constructed by Entem and Machleidt. The smooth

Bonn potential and shell-model calculations for N=126 isotones

{V}_{\mathrm{low}\ensuremath{-}\mathrm{k}}

Similarity of nuclear structure in the Sn-132 and Pb-208 regions: Proton-neutron multiplets

is used directly in a Hartree-Fock approach, avoiding the difficulties of the Brueckner-Hartree-Fock procedure. Corrections up to third order in the Goldstone expansion are evaluated, leading to results that are in very good agreement with experiment. Convergence properties of the expansion are examined.