论文标题
关于alpha-decay的阶段综合视角
A phase-integral perspective on alpha-decay
论文作者
论文摘要
本文将相位整合方法应用于alpha-decay的固定理论。使用了连接公式的严格形式及其在物理文献中不广泛知道的单向性质。获得S波亚稳态状态的条件会影响距离核的固定状态，该状态由相位积分减去的余弦支配（PI超过4）。在铀的情况下，获得了最低的S波亚稳态状态和放射性核的平均寿命的准确预测。本文的最后一部分描述了通过适当选择自由指定的基本函数评估固定状态的相位综合算法。在此框架内，获得具有角动量量子数的任意值的相位集成的原始近似公式。
This paper applies the phase-integral method to the stationary theory of alpha-decay. The rigorous form of the connection formulae, and their one-directional nature that was not widely known in the physical literature, are applied. The condition for obtaining s-wave metastable states affects the stationary state at large distance from the nucleus, which is dominated by the cosine of the phase integral minus (pi over 4). Accurate predictions for the lowest s-wave metastable state and mean life of the radioactive nucleus are obtained in the case of Uranium. The final part of the paper describes the phase-integral algorithm for evaluating stationary states by means of a suitable choice of freely specifiable base function. Within this framework, an original approximate formula for the phase integrand with arbitrary values of the angular momentum quantum number is obtained.
