BINDING-ENERGY OF THE SD SHELL NUCLEI IN THE SUPERSYMMETRIC MODEL

The supersymmetric model within the interacting boson model IBM4 with spin and isospin quantum numbers has been applied in our previous pape rs to the interpretation of energy levels and electromagnetic E2 trans itions. The application of the model supersymmetric Hamiltonian to the binding energy calculations leads to the approximate mass formula wit h a relatively small number of parameters. The results when compared w ith experimental data are quite satisfactory, although not so good as extended shell model results. There is, however, another aim of this p aper, namely to present an additional argument for the main assumption : the supersymmetry of the sd shell nuclei.