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The sextic oscillator as a γ-independent potential

 

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Author: Lévai, G.
Arias Carrasco, José Miguel
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Date: 2004-01-01
Published in: Physical Review C - Nuclear Physics, 69 (1), 014304-1-014304-6.
Document type: Article
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 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.
Cite: 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.
Size: 79.56Kb
Format: PDF

URI: http://hdl.handle.net/11441/62420

DOI: 10.1103/PhysRevC.69.014304

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