Spherical and deformed configurations of18O in the model of K-harmonics with a potential well

Abstract

From the point of view of the model ofK-harmonics an estimation of the relative positions of the spherical (K=Kmin) and deformed (K=Kmin+2) configurations of18O is carried out, which is useful for more exact calculations. In these configurations the structure (1s)4 (1p)12 of the 16 nucleons (the hypothetical nucleus16O) is separated out as determining and their binding energy is calculated. Nuclear forces are taken in the schematic form of a rectangular potential well. At first it is derived from the realistic nucleon-nucleon rectangular well and results in overbound states. It is, therefore, derived directly from the experimental data (the binding energy and the root mean square radius of16O and18O respectively). Although the energies of the hypothetical nucleus16O are close together in both configurations of18O, they differ. In Appendix a very effective expression for the logarithmic derivative of the MacDonald function is given.