Semiclassical shell structure and nuclear double-humped fission barriers
We derived the semiclassical trace formulas for the level density as sums over periodic-orbit families and isolated orbits within the improved stationary phase method. Averaged level-density shell corrections and shell-structure energies are continuous through all symmetry-breaking (bifurcation) poi...
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| Format: | Article |
| Language: | English |
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2010-09-01
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| Series: | Ядерна фізика та енергетика |
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| Online Access: | http://jnpae.kinr.kiev.ua/11.3/Articles_PDF/jnpae-2010-11-0227-Magner.pdf |
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| _version_ | 1850247799351803904 |
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| author | A. G. Magner |
| author_facet | A. G. Magner |
| author_sort | A. G. Magner |
| collection | DOAJ |
| description | We derived the semiclassical trace formulas for the level density as sums over periodic-orbit families and isolated orbits within the improved stationary phase method. Averaged level-density shell corrections and shell-structure energies are continuous through all symmetry-breaking (bifurcation) points with the correct asymptotics of the standard stationary phase approach accounting for continuous symmetries. We found enhancement of the nuclear shell structure near bifurcations in the superdeformed region. Our semiclassical results for the averaged level densities with the gross-shell and more thin-shell structures and the energy shell corrections for critical deformations are in good agreement with the quantum calculations for several single-particle Hamiltonians, in particular for the potentials with a sharp spheroidal shape. Enhancement of the shell structure owing to bifurcations of the shortest 3-dimensional orbits from equatorial orbits is responsible for the second well of fission barrier in a superdeformation region. |
| format | Article |
| id | doaj-art-23fa509d317c4da5bae811c5a0d6cd10 |
| institution | OA Journals |
| issn | 1818-331X 2074-0565 |
| language | English |
| publishDate | 2010-09-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Ядерна фізика та енергетика |
| spelling | doaj-art-23fa509d317c4da5bae811c5a0d6cd102025-08-20T01:58:51ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652010-09-01113227232Semiclassical shell structure and nuclear double-humped fission barriersA. G. Magner0Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineWe derived the semiclassical trace formulas for the level density as sums over periodic-orbit families and isolated orbits within the improved stationary phase method. Averaged level-density shell corrections and shell-structure energies are continuous through all symmetry-breaking (bifurcation) points with the correct asymptotics of the standard stationary phase approach accounting for continuous symmetries. We found enhancement of the nuclear shell structure near bifurcations in the superdeformed region. Our semiclassical results for the averaged level densities with the gross-shell and more thin-shell structures and the energy shell corrections for critical deformations are in good agreement with the quantum calculations for several single-particle Hamiltonians, in particular for the potentials with a sharp spheroidal shape. Enhancement of the shell structure owing to bifurcations of the shortest 3-dimensional orbits from equatorial orbits is responsible for the second well of fission barrier in a superdeformation region.http://jnpae.kinr.kiev.ua/11.3/Articles_PDF/jnpae-2010-11-0227-Magner.pdfnuclear shell structurefission barriersnuclear deformationsenergy shell correctionssemiclassical periodic orbit theoryquantum and classical chaos |
| spellingShingle | A. G. Magner Semiclassical shell structure and nuclear double-humped fission barriers Ядерна фізика та енергетика nuclear shell structure fission barriers nuclear deformations energy shell corrections semiclassical periodic orbit theory quantum and classical chaos |
| title | Semiclassical shell structure and nuclear double-humped fission barriers |
| title_full | Semiclassical shell structure and nuclear double-humped fission barriers |
| title_fullStr | Semiclassical shell structure and nuclear double-humped fission barriers |
| title_full_unstemmed | Semiclassical shell structure and nuclear double-humped fission barriers |
| title_short | Semiclassical shell structure and nuclear double-humped fission barriers |
| title_sort | semiclassical shell structure and nuclear double humped fission barriers |
| topic | nuclear shell structure fission barriers nuclear deformations energy shell corrections semiclassical periodic orbit theory quantum and classical chaos |
| url | http://jnpae.kinr.kiev.ua/11.3/Articles_PDF/jnpae-2010-11-0227-Magner.pdf |
| work_keys_str_mv | AT agmagner semiclassicalshellstructureandnucleardoublehumpedfissionbarriers |