Bohr Hamiltonian with an energy-dependent \(\gamma\)-unstable Coulomb-like potential

Regular Article - Theoretical Physics

Abstract.

An exact analytical solution for the Bohr Hamiltonian with an energy-dependent Coulomb-like \(\gamma\)-unstable potential is presented. Due to the linear energy dependence of the potential's coupling constant, the corresponding spectrum in the asymptotic limit of the slope parameter resembles the spectral structure of the spherical vibrator, however with a different state degeneracy. The parameter free energy spectrum as well as the transition rates for this case are given in closed form and duly compared with those of the harmonic U(5) dynamical symmetry. The model wave functions are found to exhibit properties that can be associated to shape coexistence. A possible experimental realization of the model is found in few medium nuclei with a very low second 0+ state known to exhibit competing prolate, oblate and spherical shapes.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Horia Hulubei National Institute of Physics and Nuclear EngineeringBucharest-MagureleRomania

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