Investigation of the energy levels in overlapping harmonic oscillator wells

Abstract

One of the fundamental goals of nuclear theory is explanation of properties of atomic nuclei in terms of the elementary interactions between point-like nucleons. By construction, the phenomenological nucleon-nucleon potentials (NN potentials), giving a very reasonable fit to the two-nucleon experimental data including scattering and the deuteron, are the best constructs for finite nuclei calculations. However mentioned realistic potentials cannot reproduce even the binding energy of the three-nucleon systems. Moreover, all the lightest nuclei, for which more or less accurate solutions of the Schroedinger equation can be performed, are underbound by these potentials. [...]