Potential energy surfaces of actinide and transfermium nuclei from multi-dimensional constraint covariant density functional theories

¹ State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
² Physics Department, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia
³ Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

^a e-mail: sgzhou@itp.ac.cn

Abstract

Multi-dimensional constrained covariant density functional theories were developed recently. In these theories, all shape degrees of freedom β_λμ deformations with even μ are allowed, e.g., β₂₀, β₂₂, β₃₀, β₃₂, β₄₀, β₄₂, β₄₄, and so on and the CDFT functional can be one of the following four forms: the meson exchange or point-coupling nucleon interactions combined with the non-linear or density-dependent couplings. In this contribution, some applications of these theories are presented. The potential energy surfaces of actinide nuclei in the (β₂₀, β₂₂, β₃₀) deformation space are investigated. It is found that besides the octupole deformation, the triaxiality also plays an important role upon the second fission barriers. The non-axial reflection-asymmetric β₃₂ shape in some transfermium nuclei with N = 150, namely ²⁴⁶Cm, ²⁴⁸Cf, ²⁵⁰Fm, and ²⁵²No are studied.