The sextic oscillator and E(5) type nuclei

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Abstract

The sextic oscillator is applied as a γ-independent potential to describe the energy spectrum of nuclei in regions where the occurrence of E(5) symmetry has been assumed. Experimental levels of Ru, Pd, Cd, Te, Xe and Ba isotopes have been assigned to model states characterized by the ξ 1, 2 quantum numbers, and the two model parameters a and b have been determined from a least square fit procedure. The resulting potentials have a spherical or deformed minimum. Most of the typical E(5) candidates, i.e. 104Ru, 102Pd, 106,108Cd and 124Te correspond to parameters lying close to the parabola separating the two domains in the a - b plane.

Original languageEnglish
Article number012023
JournalJournal of Physics: Conference Series
Volume205
DOIs
Publication statusPublished - 2010

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oscillators
parabolas
nuclei
quantum numbers
energy spectra
isotopes
occurrences
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

The sextic oscillator and E(5) type nuclei. / Lévai, G.

In: Journal of Physics: Conference Series, Vol. 205, 012023, 2010.

Research output: Contribution to journalArticle

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