Article
The sextic oscillator as a γ-independent potential
Author/s | Lévai, G.
Arias Carrasco, José Miguel |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2004-01-01 |
Deposit Date | 2017-07-12 |
Published in |
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Abstract | The sextic oscillator is proposed as a two-parameter solvable g-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 ... The sextic oscillator is proposed as a two-parameter solvable g-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 b = 0 or at b.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 b4 potential is presented, together with a brief analysis of the experimental spectrum and E2 transitions of the 134Ba nucleus. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España |
Project ID. | T37502
BFM2002-03315 |
Citation | Lévai, G. y Arias Carrasco, J.M. (2004). The sextic oscillator as a γ-independent potential. Physical Review C - Nuclear Physics, 69 (1), 014304-1-014304-6. |
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