Shells, orbit bifurcations, and symmetry restorations in Fermi systems

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• 作者：A. G. Magner ; M. V. Koliesnik ; K. Arita
• 刊名：Physics of Atomic Nuclei
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：79
• 期：6
• 页码：1067-1123
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Particle and Nuclear Physics;
• 出版者：Pleiades Publishing
• ISSN：1562-692X
• 卷排序：79

文摘

The periodic-orbit theory based on the improved stationary-phase method within the phase-space path integral approach is presented for the semiclassical description of the nuclear shell structure, concerning themain topics of the fruitful activity ofV.G. Soloviev. We apply this theory to study bifurcations and symmetry breaking phenomena in a radial power-law potential which is close to the realistic Woods–Saxon one up to about the Fermi energy. Using the realistic parametrization of nuclear shapes we explain the origin of the double-humped fission barrier and the asymmetry in the fission isomer shapes by the bifurcations of periodic orbits. The semiclassical origin of the oblate–prolate shape asymmetry and tetrahedral shapes is also suggested within the improved periodic-orbit approach. The enhancement of shell structures at some surface diffuseness and deformation parameters of such shapes are explained by existence of the simple local bifurcations and new non-local bridge-orbit bifurcations in integrable and partially integrable Fermi-systems. We obtained good agreement between the semiclassical and quantum shell-structure components of the level density and energy for several surface diffuseness and deformation parameters of the potentials, including their symmetry breaking and bifurcation values.