https://doi.org/10.1140/epja/i2018-12603-6
Regular Article - Theoretical Physics
Incorporating self-consistent single-particle potentials into the microscopic-macroscopic method
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 Frontiers in 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
* e-mail: adamian@theor.jinr.ru
Received:
11
March
2018
Accepted:
3
September
2018
Published online:
11
October
2018
Effective single-particle potentials obtained by self-consistent HFB calculations from the established non-relativistic and relativistic nuclear EDF approaches are incorporated into the microscopic-macroscopic method, a widely and successfully used approach for superheavy nuclei. We determine the Schrödinger-equivalent central and spin-orbit potentials incorporating effective mass effects. The method can be applied to non-relativistic and relativistic mean-fields. A parametrization in terms of the Wood-Saxon form is introduced to derive the proton and neutron potentials, appropriate for the microscopic-macroscopic method. As the first application, the extended microscopic-macroscopic approach is used to calculate the shell corrections in the heaviest nuclei. Constraints on parameters sets for central and spin-orbit potentials are derived for which the shell effects are amplified towards .
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018