# Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model

Source: [Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model](<https://www.sota2.com/research/paper/68fa24a72c2a3760193a7221>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:24:26.405Z

Authors: K. Arita, A. Sugita, K. Matsuyanagi

Published: 1998-09-02T10:35:27.000Z

## Abstract

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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/nucl-th/9809005>)

[PDF](<https://arxiv.org/pdf/nucl-th/9809005.pdf>)