Weizsäcker-Skyrme质量模型中的裂变垒
Fission barriers with Weizsäcker-Skyrme mass model
AI总结:
基于WS4质量模型,结合壳修正和唯象残差修正,系统计算了Z≥82原子核的裂变垒,与71个经验值偏差仅0.481 MeV,并预测了远离β稳定线和超重核的裂变垒。
摘要:
基于Weizsäcker-Skyrme(WS4)质量模型,系统研究了原子核的裂变垒。在考虑壳修正、宏观形变能以及一个唯象残差修正的情况下,对于Z≥82的原子核,其裂变垒高度可以被很好地描述,相对于71个经验垒高度,均方根偏差为0.481 MeV。除了基态壳修正外,鞍点处的壳修正及其相对值对于形变核和球形核也都非常重要。利用所提出的方法,还预测了远离β稳定线以及超重核的裂变垒。
英文摘要:
Based on Weizsäcker-Skyrme (WS4) mass model, the fission barriers of nuclei are systematically studied. Considering the shell corrections, the macroscopic deformation energy and a phenomenological residual correction, the fission barrier heights for nuclei with $Z\geqslant 82$ can be well described, with an rms deviation of 0.481 MeV with respect to 71 empirical barrier heights. In addition to the shell correction at the ground state, the shell correction at the saddle point and its relative value are also important for both deformed nuclei and spherical nuclei. The fission barriers for nuclei far from the $β$-stability line and super-heavy nuclei are also predicted with the proposed approach.
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