dorsal/arxiv
View SchemaSemiclassical Analysis of the Supershell Effect in Reflection-Asymmetric Superdeformed Oscillator
| Authors | Ken-ichiro Arita, Kenichi Matsuyanagi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9311014 |
| URL | https://arxiv.org/abs/nucl-th/9311014 |
| DOI | 10.1143/ptp/91.4.723 |
| Journal | Prog.Theor.Phys. 91 (1994) 723-746 |
Abstract
An oscillatory pattern in the smoothed quantum spectrum, which is unique for single-particle motions in a reflection-asymmetric superdeformed oscillator potential, is investigated by means of the semiclassical theory of shell structure. Clear correspondence between the oscillating components of the smoothed level density and the classical periodic orbits is found. It is shown that an interference effect between two families of the short periodic orbits, called supershell effect, develops with increasing reflection-asymmetric deformations. Possible origins of this enhancement phenomena as well as quantum signatures of period-multipling bifurcations are discussed in connection with stabilities of the classical periodic orbits.
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"abstract": "An oscillatory pattern in the smoothed quantum spectrum, which is unique for\nsingle-particle motions in a reflection-asymmetric superdeformed oscillator\npotential, is investigated by means of the semiclassical theory of shell\nstructure. Clear correspondence between the oscillating components of the\nsmoothed level density and the classical periodic orbits is found. It is shown\nthat an interference effect between two families of the short periodic orbits,\ncalled supershell effect, develops with increasing reflection-asymmetric\ndeformations. Possible origins of this enhancement phenomena as well as quantum\nsignatures of period-multipling bifurcations are discussed in connection with\nstabilities of the classical periodic orbits.",
"arxiv_id": "nucl-th/9311014",
"authors": [
"Ken-ichiro Arita",
"Kenichi Matsuyanagi"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/ptp/91.4.723",
"journal_ref": "Prog.Theor.Phys. 91 (1994) 723-746",
"title": "Semiclassical Analysis of the Supershell Effect in Reflection-Asymmetric Superdeformed Oscillator",
"url": "https://arxiv.org/abs/nucl-th/9311014"
},
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