Exotic Deformations in Heavy Unstable Nuclei

1.高自旋yrast结构的D132 D1 S是由cranked Skyrme-Hartree-Fock method in the three-dimensional Cartcsian-mesh表示而没有对空间对称性的限制进行了调查。The result suggests that 1） a crossover from the superdeformed to the hyperdeformed-like configurations takes place on the yrast line at angular momentum I [similar or equal] 24， which corresponds to the“bandtermination”point in the cranked harmonic-oscillator model，和2）Y-D231型D2型的非轴向八角形变形在5级（小于或等于）I [小于或等于]等（小于或等于）13.2.我们已经构建了一个用于核结构计算的Cranked Skyrme-Hartree-Fock-Bogoliubov方法的新计算机程序，它是基于3D Cartesian网格表示，并自行确定地采用了包括连续状态在内的配对相关关系。这个程序的新功能是对空间没有限制的 ... More 对称性是不可能的。使用此程序，我们在A=60-80个区域中发现了丰富的原核N=Z核i的外来形状，并在D168中发现了一个非轴八角形（三角形）形状。我们使用一种改进的静态相位方法，为两个维度的弹性计数器提供了一个分析跟踪公式。该结果是变形参数（eccentricity）的连续函数，通过短直径轨道的所有交叉点及其重复点，并在零eccentricity上拥有圆块的正确限制。远离循环限制和双饱和度，它将减少到通常的（扩展） Gutzwiller跟踪公式，该公式对于周期轨道家族的领导顺序是确定的，对于Berry和Tabor的结果。We find enhancement of the amplitudes near the common bifurcation point of both short-diameter and hyperbolic orbits。计算的半标准密度和外壳能量与量子力学组件的良好协议是一致的。Less（低）

1. High-spin yrast structure of ィイD132ィエD1 S was investigated by means of the cranked Skyrme-Hartree-Fock method in the three-dimensional Cartcsian-mesh representation without imposing restrictions on spatial symmetrics. The result suggests that 1) a crossover from the superdeformed to the hyperdeformed-like configurations takes place on the yrast line at angular momentum I 【similar or equal】 24, which corresponds to the "band termination" point in the cranked harmonic-oscillator model, and 2) non-axial octupole deformations of the YィイD231ィエD2 type play an important role in the yrast states in the range 5 【less than or equal】 I 【less than or equal】 13.2. We have constructed a new computer program of Cranked Skyrme-Hartree-Fock-Bogoliubov method for nuclear structure calculation, which is based on 3D Cartesianmesh representation and which selfconsistently takes into account pairing correlations including continuum states. A new feature of this program is that no restrictions on spatial … More symmetries are imposed. With the use of this program, we have investigated exotic shapes in proton-rich N=Z nuclei in the A=60-80 region and found a non-axial octupole (triangular) shape in ィイD168ィエD1Se.3. We have derived an analytical trace formula for the level density of the two-dimensional elliptic billiard using an improved stationary phase method. The result is a continuous function of the deformation parameter (eccentricity) through all bifurcation points of the short diameter orbit and its repetitions, and possesses the correct limit of the circular billiard at zero eccentricity. Away from the circular limit and the bifurcations, it reduces to the usual (extended) Gutzwiller trace formula which for the leading-order families of periodic orbits is identical to the result of Berry and Tabor. We find enhancement of the amplitudes near the common bifurcation points of both short-diameter and hyperbolic orbits. The calculated semiclassical level densities and shell energies are in good agreement with the quantum mechanical ones. Less