旋转重原子核中单粒子的量子混沌

QUANTUM CHAOS OF SINGLE PARTICLES IN A ROTATING HEAVY NUCLEVS

以往的量子混沌研究局限于单参数的非真实的量子体系。这里所涉及的双中心壳模型框架下的真实重原子核中的单粒子Ｈａｍｉｌｔｏｎｉａｎ是多参数依赖的，并归属于高斯正交系综。由单粒子能谱，计算了最邻近能级间距分布，以及分别关于推转频率和质心间距的能级曲率分布，发现这三类分布接近随机矩阵预测的混沌分布时对应的参数区域是各不相同的，但享有一个共同的混沌参数区域，这个区域预示着在超形变和高自旋条件下，重原子核中的单粒子能够实现量子混沌。

The underlying Hamiltonian is involved with the rotating two center shell model which is multi parameter dependent and belongs to the Gaussian unitary ensemble(GUE).For heavy nucleus 238 92 U,it is found that the spacing distribution and two curvature distributions (with respect to the separation and the cranked frequency,respectively) of the levels individually approach to those of GUE in the different regions of separation and cranked frequency,they,however,share a common parameter region in which they are all close to those of GUE.It is suggested that the chaotic motion of the single particle in a heavy nucleus is possibly realized under the condition of superdeformation and high spin.