Microscopic study of Collective Excitetior Spectra in Heavy Unstable Nuclei taking into account arbitrary deformations and pairing correlation

1.利用对称性无限制曲柄Skyrme-HF方法，系统地计算了N=Z核中的超形变转动带和超形变转动带。在自洽RPA计算的基础上，我们提出了强集体软八极振动可以建立在超形变态和超形变态之上。用不受对称性限制的Skyrme-HF-Bogoliubov方法，从理论上探讨了A=60-80区丰质子N=Z核的奇特形状，提出了^&lt；68&gt；Se和^&lt；80&gt；Zr分别存在三角形和四面体形变的观点。我们将绝热自洽集体坐标方法应用于Se和Kr周围原子核中扁平和扁平共存的现象，并成功地自洽地提取了连接扁平和扁长局部极小的集体路径。在旋转标架中准粒子RPA的基础上，我们研究了最近实验中发现的摆动模式的微观结构，表明快速旋转导致的准粒子的排列对这些模式的出现起着至关重要的作用。我们发展了一个新的能够处理球腔中周期轨道分叉的新的半经典迹公式，并证明了三维周期轨道分叉对超形变壳结构的出现起着至关重要的作用。

1. By means of the symmetry-unrestricted cranked Skyrme-HF method, we have made a systematic calculation for superdeformed and hyperdeformed rotational bands in N=Z nuclei around ^<40>Ca and neutron-rich Sulfur isotopes. On the basis of the selfconsistent RPA calculations, we have suggested that strongly collective soft ~ octupole vibrations may be built on top of the superdeformed and hyperdeformed states.2. Using the symmetry-unrestricted Skyrme-HF-Bogoliubov method, we have theoretically explored exotic shapes in proton-rich N=Z nuclei in the A=60-80 region, and suggested appearance of triangular and tetrahedral deformations in ^<68>Se and ^<80>Zr, respectively.3. We have applied the adiabatic self-consistent collective coordinate method to the oblate-prolate shape coexistence phenomena in nuclei around ^<68>Se and ^<72>Kr, and succeeded in selfconsistently extracting the collective paths connecting the oblate and prolate local minima.4. On the basis of the quasiparticle RPA in the rotating frame, we have investigated microscopic structure of the wobbling modes discovered in recent experiments, and shown that alignment of quasiparticles due to rapid rotation plays an essential role for the appearance of these modes.5. We have developed a new semi-classical trace formula capable of treating periodic-orbit bifurcations in spheroidal cavities, and shown that the bifurcation of 3-dimensional periodic orbits plays an essential role for the appearance of superdeformed shell structure.