Abstract
Hartree-Fock calculations are carried out to describe some properties of 16O and 40Ca nuclei using the two forms of fish-bone potential (I and II). A computer simulation search program has been introduced to solve this problem. The Hilbert space was restricted to three dimensional variational space spanned by single spherical harmonic oscillator orbits. Binding energies, root mean square radii and form factors are found to have a good fit with experimental data.
Highlights
The Hartree-Fock (HF) theory [1]-[3] and more elaborate self-consistent theories [4] [5] have been widely and successfully applied to investigate various properties of nuclear structure
The idea is largely supported by the fact that alpha particles have exceptional stability and that they are the heaviest particles emitted in natural radioactivity
The concept of alpha- clustering has found many applications to nuclear reactions and nuclear structures [8] [9]. Many such clusters are possible in principle, but the formation probability depends on the stability of the cluster, and of all possible clusters the alpha particle is the most stable due to its high symmetry and binding energy
Summary
The Hartree-Fock (HF) theory [1]-[3] and more elaborate self-consistent theories [4] [5] have been widely and successfully applied to investigate various properties of nuclear structure. The concept of alpha- clustering has found many applications to nuclear reactions and nuclear structures [8] [9]. Many such clusters are possible in principle, but the formation probability depends on the stability of the cluster, and of all possible clusters the alpha particle is the most stable due to its high symmetry and binding energy. The variant of the fishbone potential has been designed to minimize and to neglect the three-body potential They can try to determine the interaction by a simultaneous fit to two- and three-body data [11]
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