Nuclear shell-model calculations with fundamental nucleon-nucleon interactions

Shell - model calculations with modern nucleon - nucleon potentials

We report on a study of neutron-rich even-mass Te isotopes in terms of the shell model employing a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential. The strong short-range repulsion of the latter is renormalized by constructing a smooth low-momentum potential , V low−k , that is used directly as input for the calculation of the effective interaction. In this pa...

Low momentum nucleon-nucleon potential and shell model effective interactions

A low momentum nucleon-nucleon (NN) potential Vlow−k is derived from meson exhange potentials by integrating out the model dependent high momentum modes of VNN . The smooth and approximately unique Vlow−k is used as input for shell model calculations instead of the usual Brueckner G matrix. Such an approach eliminates the nuclear mass dependence of the input interaction one finds in the G matri...

Gamow shell model and realistic nucleon-nucleon interactions

We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized NLO interaction model. The corresponding Gamow one-body eigenstates are generated in a plane wave basis in order to build a Gamow shell-model set of basis states for the closed ...

Ab initio nuclear shell model calculations with a three - nucleon force

Four-nucleon shell-model calculations in a Faddeev-like approach

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14h̄Ω harmonic-oscillator excitations above the unperturbed ground state. Twoand three-body effective interactions derived from the Reid93 and Argonne V8’ nucleon-nucleon potentials are used in the calculations. Binding energies, excitations energies, point-nucleon ra...