Integro-differential equation approach extended to larger nuclei
- 1 August 1992
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear and Particle Physics
- Vol. 18 (8) , 1365-1375
- https://doi.org/10.1088/0954-3899/18/8/011
Abstract
The authors extend the integro-differential equation approach (IDEA) from few nucleon to closed-shell and closed-subshell nuclei and outline the analytical methods required for the calculation of the density functions, which enter into the integro-differential equations. These contain all the physics for a system of fermions associated with the Pauli principle. In order to test the accuracy of the IDEA comparisons are made of the binding energies of 4He, 12C and 16O obtained with effective potentials using the hypercentral approximation (HCA) providing a variational solution without correlations, the IDEA which fully includes the two-body correlations, the S-state integro-differential equation (SIDE) valid for potentials operating only on pairs in the S-state and those calculated by several variational or perturbative methods in the literature.Keywords
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