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

From the point of view of the model ofK-harmonics an estimation of the relative positions of the spherical (K=K_min) and deformed (K=K_min+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.The work has been begun in the Nuclear Research Institute of the Czechoslovak Academy of Sciences, e.