Five-dimensional(5D)fission potential energy surfaces(PES)for uranium nuclei are investigated based on the macroscopic–microscopic Lublin–Strasbourg drop model in the threequadratic-surface parametrization,and the h...Five-dimensional(5D)fission potential energy surfaces(PES)for uranium nuclei are investigated based on the macroscopic–microscopic Lublin–Strasbourg drop model in the threequadratic-surface parametrization,and the heights of static fission barriers are obtained.Asymmetric and symmetric fission paths are presented on the 5D PES of 236U for different nuclear shapes.The calculated barrier heights,EAand EB,are quite consistent with the experimental data for all even–even nuclei of uranium isotopes,from 230U to 244U.展开更多
Potential energy surfaces of uranium nuclei in the range of mass numbers 229 through 244 are investigated in the framework of the macroscopic-microscopic model and the heights of static fission barriers are obtained i...Potential energy surfaces of uranium nuclei in the range of mass numbers 229 through 244 are investigated in the framework of the macroscopic-microscopic model and the heights of static fission barriers are obtained in terms of a double-humped structure. The macroscopic part of the nuclear energy is calculated according to Lublin–Strasbourg-drop(LSD) model. Shell and pairing corrections as the microscopic part are calculated with a folded-Yukawa single-particle potential. The calculation is carried out in a five-dimensional parameter space of the generalized Lawrence shapes. In order to extract saddle points on the potential energy surface, a new algorithm which can effectively find an optimal fission path leading from the ground state to the scission point is developed. The comparison of our results with available experimental data and others' theoretical results confirms the reliability of our calculations.展开更多
基金supported by the Major Program of the National Natural Science Foundation of China under Grant No.11790324The National Magnetic Confinement Fusion Science Program of China under Grant Nos.2013GB106004 and 2012GB-101003The National Key Research and Development Program of China under Grant Nos.2016YY0200804 and 2017YFF0206205。
文摘Five-dimensional(5D)fission potential energy surfaces(PES)for uranium nuclei are investigated based on the macroscopic–microscopic Lublin–Strasbourg drop model in the threequadratic-surface parametrization,and the heights of static fission barriers are obtained.Asymmetric and symmetric fission paths are presented on the 5D PES of 236U for different nuclear shapes.The calculated barrier heights,EAand EB,are quite consistent with the experimental data for all even–even nuclei of uranium isotopes,from 230U to 244U.
基金Supported by National Natural Science Foundation of China under Grant Nos.91226102 and 91126010the National Defence Foundation of China under Grant No.B0120110034the National Magnetic Confinement Fusion Science Program of China under Grant No.2013BG106004
文摘Potential energy surfaces of uranium nuclei in the range of mass numbers 229 through 244 are investigated in the framework of the macroscopic-microscopic model and the heights of static fission barriers are obtained in terms of a double-humped structure. The macroscopic part of the nuclear energy is calculated according to Lublin–Strasbourg-drop(LSD) model. Shell and pairing corrections as the microscopic part are calculated with a folded-Yukawa single-particle potential. The calculation is carried out in a five-dimensional parameter space of the generalized Lawrence shapes. In order to extract saddle points on the potential energy surface, a new algorithm which can effectively find an optimal fission path leading from the ground state to the scission point is developed. The comparison of our results with available experimental data and others' theoretical results confirms the reliability of our calculations.
