论文标题
自发裂变的微观模型：绝热近似的有效性
A microscopic model for spontaneous fission: validity of the adiabatic approximation
论文作者
论文摘要
我们通过显微镜研究原子核自发裂变中的隧道动力学。为此，我们采用了一个具有配对 - 五核相互作用的示意图溶解模型。通过将一个小的假想部分引入裂变门状态的能量来模拟系统的自发衰减。我们表明，多体汉密尔顿人可以将其降低到2 $ \ times $ 2 $ 2的哈密顿量，从中可以得出一个简单的衰减宽度公式。我们特别研究了绝热近似的适用性，该近似经常在文献中使用。对于参数的典型值，我们发现绝热近似在衰减宽度的5倍以内起作用。
We investigate microscopically the tunneling dynamics in spontaneous fission of atomic nuclei. To this end, we employ a schematic solvable model with a pairing-plus-quadrupole interaction. The spontaneous decay of a system is simulated by introducing a small imaginary part to the energy of a fission doorway state. We show that the many-body Hamiltonian can be reduced to an effective 2$\times$2 Hamiltonian, from which one can derive a simple approximate formula for the decay width. We particularly investigate the applicability of the adiabatic approximation, which has often been used in the literature. With typical value of the parameters, we find that the adiabatic approximation works within a factor of around 5 for the decay width.
