https://doi.org/10.1051/epjconf/20146602086
Application of the sextic oscillator potential together with Mathieu and spheroidal functions for triaxial and X(5) type nuclei
1 Horia Hulubei National Institute of Physics and Nuclear Engineering, Magurele, RO-077125, Romania
2 Academy of Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania
a e-mail: raduta@nipne.ro
Published online: 20 March 2014
The Bohr-Mottelson Hamiltonian is amended with a potential which depends on both β and γ deformation variables and which allows us to separate the β variable from the other variables. The equation for the β variable is quasi-exactly solved for a sextic oscillator with centrifugal barrier potential. Concerning the γ equation, its solutions are the angular spheroidal and Mathieu functions for X(5) type and triaxial nuclei, respectively. The models developed in this way are conventionally called the Sextic and Spheroidal Approach (SSA) and the Sextic and Mathieu Approach (SMA). SSA and SMA was successfully applied for several nuclei, details being presented below.
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