# Solving the eigenvalue problem of the nuclear Yukawa-folded mean-field Hamiltonian

## Description

Abstract The nuclear Hamiltonian with a Yukawa-folded mean-field potential is diagonalized within the basis of a deformed harmonic-oscillator in Cartesian coordinates. The nuclear shape is characterized by the equivalent sharp surface described either by the well known Funny–Hills or the Trentalange–Koonin–Sierk parametrizations. They are both able to describe a very vast variety of nuclear deformations, including necked-in shapes, left–right asymmetry and non-axiality. The only imposed limitation on ... Title of program: yukawa Catalogue Id: AEYI_v1_0 Nature of problem The full single-particle nuclear Hamiltonian composed of the Yukawa-folded central, spin-orbit and Coulomb potentials is generated and diagonalized. The only symmetry of the problem is the so called z-signature symmetry which limits the nuclear shapes to those, being invariant with respect to a rotation by an angle π around the z-axis. Versions of this program held in the CPC repository in Mendeley Data AEYI_v1_0; yukawa; 10.1016/j.cpc.2015.09.020 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)