On the Quadruple Correlation in the Extra Binding Energy of thes-dShell Nuclei

Abstract

The saturation property of the tY-type particles which appears in the series of the extra separation energies in the s-d shell nuclei is discussed. To explain this property, the binding energies of 2'-'5 particles outside the core 0 16 are discussed qualitati~ely in the j-j and L-S schemes and calculated with projected variational self-consistent wave function and the SU(3) model, using the reaction matrix as the residual interaction. In these calculations it is shown that the T=O interaction plays an essential role in the configuration mixing and the satura­ tion property, together with the pairing interaction .V(J =0, T=1). It is concluded that the saturation property is a consequence of the change of the contribution from the large two­ body interaction V(J =0, T=1), V(J =Jmax, T=O) and V(J =Jmin, T=O). Futhermore, we discuss the possibility of testing the effective interaction by comparing the results of calcula­ tions with the reaction matrix and those with a phenomenological effective interaction of the Gaussian type.