Macroscopic model of rotating nuclei.
Macroscopic model of rotating nuclei.
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DOI：
10.1103/physrevc.33.2039
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发表时间：
1986-06
期刊：
影响因子：
--
通讯作者：
A. Sierk
中科院分区：
文献类型：
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作者：
A. Sierk
我提出了一个旋转原子核能量的宏观模型，它相对于旋转液滴模型有几个改进。最重要的是通过汤川加指数势在核表面能中包含有限范围效应，库仑能和转动惯量中的有限表面扩散效应，以及核形状的改进说明。用这个模型，我计算了核基态和裂变鞍点对应的平衡点的性质。结果与旋转液滴模型的定性相似，但在裂变势垒高度和惯性矩上存在显著的定量差异。对于原子序数从14到117不等的原子核，计算了非旋转原子核的裂变势垒。对于旋转原子核，给出了存在裂变势垒的整个角动量范围的详细结果，对于原子序数从20到100的原子核，以及质量数超过已知原子核范围的原子核。计算出的能垒低于轻核的液滴模型能垒，并且与从大范围核种的裂变聚变实验数据中推断出的能垒一致。目前的计算表明，超变形的旋转基态，在液滴模型中预测的更多，不会在裂变中存活足够长的时间来经历电磁衰变。描述了近似再现障壁高度和转动惯量计算结果的多参数函数。«少
I present a macroscopic model for the energy of rotating nuclei which has several refinements relative to the rotating-liquid-drop model. Of most importance are the inclusion of finite-range effects in the nuclear surface energy by means of a Yukawa-plus-exponential potential, finite surface diffuseness effects in the Coulomb energy and in the rotational moments of inertia, and an improved specification of nuclear shapes. With this model I calculate the properties of points of equilibrium corresponding to nuclear ground states and fission saddle points. The results are qualitatively similar to those of the rotating-liquid-drop model, but there are significant quantitative differences in fission-barrier heights and moments of inertia. Fission barriers for nonrotating nuclei are calculated for nuclei with atomic numbers varying from 14 to 117. For rotating nuclei, detailed results are given for the entire range of angular momentum for which a fission barrier exists, for nuclei with atomic numbers from 20 to 100, and for mass numbers which exceed the range of known nuclei. The calculated barriers are lower than liquid-drop-model barriers for lighter nuclei and are consistent with those deduced from experimental fission-fusion data over a wide range of nuclear species. The present calculations indicate that super-deformed rotating ground states,more » which are predicted in the liquid-drop model, would not survive fission long enough to undergo electromagnetic decay. Multiparameter functions which approximately reproduce the calculated results for barrier heights and moments of inertia are described.« less