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Deformed shell structures in nuclear mean-field potentials are systematicallyinvestigated as functions of deformation and surface diffuseness. As themean-field model to investigate nuclear shell structures in a wide range ofmass numbers, we propose the radial power-law potential model, V \proptor^\alpha, which enables a simple semiclassical analysis by the use of itsscaling property. We find that remarkable shell structures emerge at certaincombinations of deformation and diffuseness parameters, and they are closelyrelated to the periodic-orbit bifurcations. In particular, significant roles ofthe "bridge orbit bifurcations" for normal and superdeformed shell structuresare pointed out. It is shown that the prolate-oblate asymmetry in deformedshell structures is clearly understood from the contribution of the bridgeorbit to the semiclassical level density. The roles of bridge orbitbifurcations in the emergence of superdeformed shell structures are alsodiscussed.

Periodic-orbit approach to the nuclear shell structures with power-law potential models: Bridge orbits and prolate-oblate asymmetry