标题： 椭球腔模型中超形变壳结构的半经典起源 显示英文标题

标题： Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model

摘要： 被识别出的经典的周期轨道负责单粒子运动在椭球腔中出现超形变壳结构，同时评估了这些轨道对壳结构的相对贡献。研究了长形和扁形超形变（轴比约为 2:1）以及长形超超形变（轴比约为 3:1）。量子谱的傅里叶变换清楚地表明，在大长形变形情况下，三维周期轨道源于赤道平面中平面轨道的分支，变得占主导地位，而在大扁形变形情况下，沿短轴从线性轨道分支出来的蝴蝶形状平面轨道则很重要。 显示英文摘要

摘要： Classical periodic orbits responsible for emergence of the superdeformed shell structures for single-particle motions in spheroidal cavities are identified and their relative contributions to the shell structures are evaluated. Both prolate and oblate superdeformations (axis ratio about 2:1) as well as prolate hyperdeformation (axis ratio about 3:1) are investigated. Fourier transforms of quantum spectra clearly show that three-dimensional periodic orbits born out of bifurcations of planar orbits in the equatorial plane become predominant at large prolate deformations, while butterfly-shaped planar orbits bifurcated from linear orbits along the minor axis are important at large oblate deformations.