HARTREE-FOCK CALCULATIONS OF FINITE NUCLEI.
Abstract
A matrix formulation of the Hartree-Fock method is used to calculate properties of finite nuclei. The two-body interaction used is of the non-local separable type, which gives saturation. The s-wave interaction is chosen such as to give the energy and density of nuclear matter correctly and have small second-order corrections. Calculations are done for nuclei C12, O16, Si28, Ca40, Zn60, and Zr80 with the s-wave force. The single particle energies and wave functions are obtained. Since only the s-wave force is included there is no spinorbit splitting of the single particle levels. The closed shell nuclei O16, Ca40, and Zr80 are more bound than the non-closed shell nuclei C12, Si28, and Zn60. Calculations for C12 and Si28 are done with pure amisotropic harmonic oscillator functions as the wave functions and these nuclei prefer a deformed shape over spherical shape. The single particle levels are much deeper than what would be expected from a local single particle potential. This shows the strong non-locality of the single-particle potential. The properties of O16 and Ca40 are calculated with forces acting in both relative s and p states. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0624314
Entities
People
- R. Muthukrishnan