论文标题
可整合波函数，描述α-Decay的时空演变
Integrable wave function, describing space-time evolution of alpha-decay
论文作者
论文摘要
在Goldberger和Watson的衰减理论的框架中，我们将核的$α$ - 特定为$α$ decay是由于初始不受干扰的结合状态与散射状态与α粒子之间的残留相互作用引起的过渡。得出了$α$ -DECAY的集成波函数。 α粒子由波数据包描述，核内部幅度很小，并且在外部区域中成倍增长至$α$ - 波正面。分析了Moshinsky对Alpha-Wave前沿的扭曲。发现衰减水平的能量不能满足Quasibound水平的普遍接受的Bohr-Sommerfeld量化规则。衰减率仅与这种条件相去甚远，这是由Gamov的屏障渗透性因素确定的。衰减速率的衍生一般表达通过熟悉的准典型公式近似。
In the framework of decay theory of Goldberger and Watson we treat $α$-decay of nuclei as a transition caused by a residual interaction between the initial unperturbed bound state and the scattering states with alpha-particle. The integrable wave function for the $α$-decay is derived. The alpha-particle is described by the wave packet, having small amplitude inside the nucleus and exponentially growing in external region up to the $α$-wave front. The Moshinsky's distortions of the alpha-wave front are analyzed. It is found that the energy of the decaying level does not satisfy commonly accepted Bohr-Sommerfeld quantization rule for the quasibound levels. Only far from this condition the decay rate turns out to be determined by the Gamov's factor for the barrier penetrability. The derived general expression for the decay rate is approximated by the familiar quasiclassical formula.
