Davydov-Chaban Hamiltonian with deformation-dependent mass term for the Kratzer potential

Korchi, S. Ait El; Baid, S.; Buganu, P.; Chabab, M.; Batoul, A. El; Lahbas, A.; Oulne, M.

doi:10.1016/j.nuclphysa.2021.122354

Cited by 2 publications

(2 citation statements)

References 34 publications

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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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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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“…Some Pt nuclei have been considered the best examples for O(6) symmetry [24], so it seems worthwhile to study the evolution of the spectroscopic properties along the named isotope chains. Recently, other theoretical works investigate the same region solving the Bohr equation considering energy-dependent parameters and/or deformation-dependent mass [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Extended analytical solutions of the Bohr Hamiltonian with the sextic oscillator: Pt-Os isotopes

Baid

Lévai

Arias

2023

J. Phys. G: Nucl. Part. Phys.

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The sextic oscillator adapted to the Bohr Hamiltonian has been used to describe even Pt and Os isotopes from $A=$188 to 198 and $A=$186 to 192, respectively. The purpose of this study was investigating the possible transition from the $\gamma$-unstable to the spherical vibrator shape phases. In this setup the potential appearing in the Bohr Hamiltonian is independent from the $\gamma$ shape variable, and the physical observables (energy eigenvalues, $B(E2)$) can be obtained in closed analytical form within the quasi-exactly solvable (QES) formalism for the model space containing 30 of the lowest-lying levels. Experimental energy levels have been associated to the theoretical ones. The available electric quadrupole transition data ($B(E2)$, decay preferences) have been taken into account in matching the experimental and theoretical levels. Special attention has been paid to transitions from the first two excited $0^+$ levels to the $2^+_1$ and $2^+_2$ levels, as these indicate the change of shape phases with spherical and deformed potential minimum. The three parameters of the Hamiltonian have been determined by a weighted least square fit procedure. Trends in the location of states belonging to the ground-state, the $K^{\pi}=2^+$ and two excited $K^{\pi}=0^+$ bands have been analysed. The trajectory determined by the fitted parameters in the two-dimensional phase space has also been plotted, and it has been found that all the nuclei are characterized by a deformed potential minimum, except for the heaviest Pt isotope ($^{198}$Pt), for which the transition to the spherical shape phase is realised. Although the spectroscopic information on the next isotopes of the chains ($^{200}$Pt and $^{194}$Os) is far less complete, there are indications that these nuclei are also close to or fall within the domain of spherical potential minimum.

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Davydov-Chaban Hamiltonian with deformation-dependent mass term for the Kratzer potential

Cited by 2 publications

References 34 publications

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

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

Extended analytical solutions of the Bohr Hamiltonian with the sextic oscillator: Pt-Os isotopes

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