Bulg. J. Phys. vol.46 no.4 (2019), pp. 424-433



Shape Phase Transition, Shape Coexistence and Mixing Phenomena within the Bohr Model

P. Buganu1, R. Budaca1,2, A. Lahbas3,4, A.I. Budaca1
1Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering, Str. Reactorului 30, RO-077125, POB-MG6, Bucharest-Măgurele, Romania
2Academy of Romanian Scientists, 54 Splaiul Independentei, Bucharest, RO-050094, Romania
3ESMaR, Department of Physics, Faculty of Sciences, Mohammed V University in Rabat, Morocco
4LPHEA, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakesh, Morocco
Abstract. Two methods of solving the Bohr Hamiltonian with sextic oscillator potential in the β variable are presented, namely a quasi-exact method involving polynomials and a numerical diagonalization in a basis of Bessel functions of the first kind. The formalisms are used to describe shape phase transitions and critical points, respectively shape coexistence and mixing phenomena in nuclei.

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