经典粒子在轴对称八极形变势场中的混沌运动

Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation

在自然界中长的变形核数目多于扁的变形核数目，这一事实发现与核子的混沌运动有关。经典理论的初步研究表明，粒子在扁椭球加八极形变场中比在长椭球加八极形变场中的运动能在更小的形变参数下产生混沌运动，原因是前者的势能面能在更小的形变参数下出现负曲率。

The fact that. there are. more prolate-deformed nuclei than oblate-deformed ones in the nature is found to be related with the chaotic motion of nucleons. The primary. investigation with classical theory shows that the particle motion in the potential with oblate-plus -octupole deformation could become chaotic in the case of smaller deformation strength as compared with the case of prolate-plus-octupole deformation. The reason is that the negative curvature in the potential surface could appear in the case of smaller deformation strength for the former one rather than for the latter,