Electric quadrupole transitions of deformed nuclei via Davidov-Chaban Hamiltonian within the Kratzer potential

Heydari, Ali; Hamzavi, Majid; Bigdeli, M.

doi:10.1140/epjp/i2018-12066-2

Cited by 2 publications

(1 citation statement)

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“…Several variations of the Z(4) solution exist in the literature, taking advantage of its exact solvability. In these variations the infinite well potential in the β variable is replaced by a sextic potential [126,134], a Davidson potential [135], a Kratzer potential [136], a Davidson potential with a deformation-dependent mass [137], or a Kratzer potential with a deformation-dependent mass [138,139]. The deformation-dependent mass formalism [140,141], based on supersymmetric quantum mechanics [142,143], reduces the rate of increase of the nuclear moment of inertia with increasing deformation, thus removing a major drawback of the Bohr Hamiltonian [34].…”

Section: The Bohr Collective Modelmentioning

confidence: 99%

Prolate-oblate shape transitions and O(6) symmetry in even–even nuclei: a theoretical overview

Bonatsos,

Martinou,

Peroulis

et al. 2024

Phys. Scr.

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Prolate to oblate shape transitions have been predicted in an analytic way in the framework of the Interacting Boson Model (IBM), determining O(6) as the symmetry at the critical point. Parameter-independent predictions for prolate to oblate transitions in various regions on the nuclear chart have been made in the framework of the proxy-SU(3) and pseudo-SU(3) symmetries, corroborated by recent non-relativistic and relativistic mean field calculations along series of nuclear isotopes, with parameters fixed throughout, as well as by shell model calculations taking advantage of the quasi-SU(3) symmetry. Experimental evidence for regions of prolate to oblate shape transitions is in agreement with regions in which nuclei bearing the O(6) dynamical symmetry of the IBM have been identified, lying below major shell closures. In addition, gradual oblate to prolate transitions are seen when crossing major nuclear shell closures, in analogy to experimental observations in alkali clusters.

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