The ground states of the nucleide⁴⁴Ti

Abstract

Ground state binding energies and equilibrium harmonic oscillator energies are computed for the various ground state configurations of the doubly even nucleide⁴⁴Ti. Employed for the study is a variational calculation carried out in a Cartesian harmonic oscillator basis of states employing a tripartite interaction potential composed of Wigner central forces coupled to Majorana exchange forces each having Gaussian radial dependence.

A determination is made of which of three possible shapes, spherically symmetric, prolate spheroidal, or asymmetric, represents the preferred ground state configuration of the nucleide.