Non-rotational States in Isotonic Chains of Heavy Nuclei

Intensive experimental studies of superheavy nuclei [1–6] resulted in the discovery of new nuclei and obtaining the information on the single-particle states and nuclear deformations. The systematic calculations of singleparticle spectra of heaviest nuclei have been performed in Refs. [7–10]. However, the interaction of quasiparticles with phonons, which is determined by the mean-field fluctuations, has not been taken into account there. To start this work, we used Refs. [9, 10] as a guide to the structure of heaviest nuclei. The numerous discussions with Adam Sobiczewski were also very valuable for getting the correct results. Besides the self-consistent approach, the residual interaction is also considered in the Quasiparticle–Phonon Model (QPM) [11–13] which allows us to describe well the structure of deformed rare-earth nuclei and actinides. In this model, the nuclide chart is divided into a few regions around some