Surface Delta Interaction in Deformed Nuclei

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Abstract
The surface delta interaction (SDI) is applied to deformed nuclei. It is shown that the relations among the matrix elements of the SDI derived for spherical nuclei are also valid in the deformed case. The parameter of the SDI can be fixed by the odd-even mass differences or it can be calculated utilizing a self-consistency argument for the density and the shape of the potential. Comparing the matrix elements for the pairing-plus-quadrupole (or octupole) force with the elements for the SDI, one can calculate the strength of the quadrupole and octupole forces from nuclear binding energies. The values so derived are in good agreement with the fits found in the literature for the quadrupole and the octupole parameters.