Abstract
In recent years, we have developed the multidimensionally-constrained covariant density functional theories (MDC-CDFTs) in which both axial and spatial reflection symmetries are broken and all shape degrees of freedom described by β λμ with even μ , such as β 20 , β 22 , β 30 , β 32 , β 40 , etc., are included self-consistently. The MDC-CDFTs have been applied to the investigation of potential energy surfaces and fission barriers of actinide nuclei, third minima in potential energy surfaces of light actinides, shapes and potential energy surfaces of superheavy nuclei, octupole correlations between multiple chiral doublet bands in 78 Br, octupole correlations in Ba isotopes, the Y 32 correlations in N = 150 isotones and Zr isotopes, the spontaneous fission of Fm isotopes, and shapes of hypernuclei. In this contribution we present the formalism of MDC-CDFTs and the application of these theories to the study of fission barriers and potential energy surfaces of actinide nuclei.
Highlights
Many intrinsic nuclear shapes which break certain spatial symmetries play important roles in determining nuclear structure and fission properties [1,2,3,4,5]
The axial quadrupole (β20) shape are prevalent in nuclear physics study, there have become more and more theoretical and experimental investigations on the β22 deformation, which manifests itself in the wobbling motion [2, 6], chiral doublet bands [7,8,9,10,11] and the termination of rotational bands [12], and the β30 deformation, which is characterized by parity doublet bands [13,14,15]
In Ref. [40] we have shown that, the reflection asymmetric outer barrier may be further lowered by the triaxial distortion with the multidimensionally-constrained relativistic mean field (MDC-RMF) model
Summary
Many intrinsic nuclear shapes which break certain spatial symmetries play important roles in determining nuclear structure and fission properties [1,2,3,4,5]. It has been known from the macroscopicmicroscopic model calculations that the inner fission barrier is lowered when the triaxial deformation is allowed, so is the outer one by the reflection asymmetric distortion [30, 31] Such lowering effects were revealed in the non-relativistic [35] and relativistic [38, 39] density functional calculations, respectively. The MDC-RHB model has been used to study the spontaneous fission of fermium isotopes [58], octupole correlations between multiple chiral doublet (MχD) bands in 78Br [59], octupole correlations in Ba isotopes [15] and the Y32 correlations in neutron-rich Zr nuclei [60] In this contribution, we present briefly the formalism of the MDC-CDFTs and some results of fission barriers.
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