论文标题
奇数-A核自发裂变的偶然动机研究
Instanton-motivated study of spontaneous fission of odd-A nuclei
论文作者
论文摘要
利用激体方法的量子量量子隧道的想法，我们尝试获得一种用奇数中子或质子来计算核自发裂变率的方法。这个问题起源于绝热曲柄近似的失败，该近似是计算裂变概率的基础。审查有和没有配对的自符敏感的internon方程，然后简化为具有现象学单粒子潜力和资历配对相互作用的非富裕版本。沿着逼真的裂变轨迹研究了无需配对的激发方程的溶液和它们产生的动作的解决方案。在这种杂种模型中研究了未配对颗粒的作用与均匀岩心的启动作用结合在一起，并在这种杂种模型中研究了奇数-A核的裂变阻塞。对于相邻的ODD-A和偶数核的假定相等质量参数，该模型表明，冻结Kπ构型会导致裂变阻塞因子的大量高估。具有绝热配置的动作大多显示出足够的障碍；固定核子的插入式作用纠正了这一点，但不够。
Using the idea of the instanton approach to quantum tunneling we try to obtain a method of calculating spontaneous fission rates for nuclei with the odd number of neutrons or protons. This problem has its origin in the failure of the adiabatic cranking approximation which serves as the basis in calculations of fission probabilities. Selfconsistent instanton equations, with and without pairing, are reviewed and then simplified to non-selfconsistent versions with phenomenological single-particle potential and seniority pairing interaction. Solutions of instanton-like equations without pairing and actions they produce are studied for the Woods-Saxon potential along realistic fission trajectories. Actions for unpaired particles are combined with cranking actions for even-even cores and fission hindrance for odd-A nuclei is studied in such a hybrid model. With the assumed equal mass parameters for neighbouring odd-A and even-even nuclei, the model shows that freezing the K π configuration leads to a large overestimate of the fission hindrance factors. Actions with adiabatic configurations mostly show not enough hindrance; instanton-like actions for blocked nucleons correct this, but not sufficiently.
