https://doi.org/10.1140/epja/s10050-021-00375-1
Review
Self-consistent methods for structure and production of heavy and superheavy nuclei
1
Joint Institute for Nuclear Research, 141980, Dubna, Russia
2
Tomsk Polytechnic University, 634050, Tomsk, Russia
3
Institut für Theoretische Physik der Justus-Liebig-Universität, D-35392, Gießen, Germany
4
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
5
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China
6
Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, 730000, Lanzhou, China
7
Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, 410081, Changsha, China
Received:
2
September
2020
Accepted:
18
January
2021
Published online:
8
March
2021
Self-consistent methods for the structure of heavy and superheavy nuclei are reviewed. The construction and application of energy-density functionals are discussed. The relationship between the self-consistent methods and microscopic-macroscopic approaches is considered on the mean-field level. The extraction of single-particle potentials from the energy-density functional is described. The isotopic dependence of nucleon distributions and its influence on the nucleus–nucleus interaction is analyzed. As a new additional condition we introduce that the energy-density functional must describe the heights of the Coulomb barriers in nucleus–nucleus interaction potentials, thus imposing constraints on the properties of the functional at low matter densities. The self-consistent methods are applied to describe the quasiparticle structure, cluster radioactivity, and fission of the heaviest nuclei. These methods are used to predict the probabilities of 
-delayed multi-neutron emission and half-lives of -decays and electron captures in heavy and superheavy nuclei. The predicted properties of superheavy nuclei are used to estimate the production cross-sections of superheavy nuclei in complete fusion reactions.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
