The sextic oscillator as a γ-independent potential

G. Lévai, J. M. Arias

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

The sextic oscillator is proposed as a two-parameter solvable γ-independent potential in the Bohr Hamiltonian. It is shown that closed analytical expressions can be derived for the energies and wave functions of the first few levels and for the strength of electric quadrupole transitions between them. Depending on the parameters this potential has a minimum at β=0 or at β>0, and might also have a local maximum before reaching its minimum. A comparison with the spectral properties of the infinite square well and the β4 potential is presented, together with a brief analysis of the experimental spectrum and E2 transitions of the 134Ba nucleus.

Original languageEnglish
Pages (from-to)143041-143046
Number of pages6
JournalPhysical Review C - Nuclear Physics
Volume69
Issue number1
Publication statusPublished - Jan 2004

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oscillators
square wells
quadrupoles
wave functions
nuclei
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

The sextic oscillator as a γ-independent potential. / Lévai, G.; Arias, J. M.

In: Physical Review C - Nuclear Physics, Vol. 69, No. 1, 01.2004, p. 143041-143046.

Research output: Contribution to journalArticle

Lévai, G. ; Arias, J. M. / The sextic oscillator as a γ-independent potential. In: Physical Review C - Nuclear Physics. 2004 ; Vol. 69, No. 1. pp. 143041-143046.
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