Bulg. J. Phys. vol.42 no.4 (2015), pp. 485-493

Various Aspects of the Deformation Dependent Mass model of Nuclear Structure

D. Petrellis1, D. Bonatsos2, N. Minkov3
1Department of Physics, University of Istanbul, 34134 Vezneciler, Istanbul, Turkey
2Institute of Nuclear and Particle Physics, National Centre for Scientific Research "Demokritos", GR-15310 Aghia Paraskevi, Attiki, Greece
3Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, 1784 Sofia, Bulgaria
Abstract. Recently, a variant of the Bohr Hamiltonian was proposed where the mass term is allowed to depend on the β variable of nuclear deformation. Analytic solutions of this modified Hamiltonian have been obtained using the Davidson and the Kratzer potentials, by employing techniques from supersymmetric quantum mechanics. Apart from the new set of analytic solutions, the newly introduced Deformation-Dependent Mass (DDM) model offered a remedy to the problematic behaviour of the moment of inertia in the Bohr Hamiltonian, where it appears to increase proportionally to β2. In the DDM model the moments of inertia increase at a much lower rate, in agreement with experimental data. The current work presents an application of the DDM-model suitable for the description of nuclei at the point of shape/phase transitions between vibrational and gamma-unstable or prolate deformed nuclei and is based on a method that was successfully applied before in the context of critical point symmetries.

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