Electric quadrupole transitions of the Bohr Hamiltonian with Manning–Rosen potential

Chabab, M.; Batoul, A. El; Lahbas, A.; Oulne, M.

doi:10.1016/j.nuclphysa.2016.05.012

Cited by 32 publications

(38 citation statements)

References 37 publications

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“…The same approach has been performed in Ref [37], in the framework of the Kratzer potential. In earlier works [19,22,39,40,41], this minimum was problematic since its obtained values were unphysical (β 0 > 1) in respect to the nuclear deformation. In the same table ( Table 2), we present the bandhead ratios R 4/2 calculated by our model compared to the experimental data.…”

Section: Modelsmentioning

confidence: 93%

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Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method

et al. 2018

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Based on the minimal length concept, inspired by Heisenberg algebra, a closed analytical formula is derived for the energy spectrum of the prolate γ-rigid Bohr-Mottelson Hamiltonian of nuclei, within a quantum perturbation method (QPM), by considering a scaled Davidson potential in β shape variable. In the resulting solution, called X(3)-D-ML, the ground state and the first β-band are all studied as a function of the free parameters. The fact of introducing the minimal length concept with a QPM makes the model very flexible and a powerful approach to describe nuclear collective excitations of a variety of vibrational-like nuclei. The introduction of scaling parameters in the Davidson potential enables us to get a physical minimum of this latter in comparison with previous works. The analysis of the corrected wave function, as well as the probability density distribution, shows that the minimal length parameter has a physical upper bound limit.

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Section: Modelsmentioning

confidence: 93%

“…For the case of t = 0, the mean values can be calculated by using the generalized formula (BU 142 (19)) in [38]. Thus, we obtain the following equation, β t = C n β ,L · Γ(p + t 2 + 1 2 )Γ(n β + p + 1 2 ) n β !…”

Section: Appendix Amentioning

confidence: 99%

Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method

et al. 2018

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“…We present the Schrodinger equation in the form [22] (  are the usual collective coordinates [23,24].…”

Section: Energy Spectrum and Wavfunctionsmentioning

confidence: 99%

Calculations of the decay transitions of the modified Pöschl–Teller potential model via Bohr Hamiltonian technique

Soheibi

Hamzavi

Eshghi

et al. 2017

Int. J. Mod. Phys. E

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We calculate the eigenvalues and their corresponding eigenfunctions of the Bohr's collective Hamiltonian with the help of the modified Pöschl-Teller potential model within  -unstable structure. Our numerical results for the ground state β and γ band heads together with the electric quadrupole B(E2) transition rates are displayed and compared with those available experimental data. Kaywords: Bohr's collective Hamiltonian; modified Pöschl-Teller potential model; Electric quadrupole (B(E2)) transition rates Pacs number: 03.65.Ge, 21.10.Re, 21.60.Ev

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“…The formulas for the energy levels as well as for the wave functions are obtained in closed analytical form by means of the asymptotic iteration method [22,23]. Thanks to its efficiency and easiness, we have already used this method to solve many similar problems [24,25,26,27,28,29,30]. On the basis of the obtained numerical results, by the present model, the staggering effect appearing in energy spectra of triaxial nuclei will also be treated by taking for example the nuclei 114 Pd and 192 Pt.…”

Section: Introductionmentioning

confidence: 99%

Davydov–Chaban Hamiltonian with deformation-dependent mass term for γ= 30∘

Buganu¹,

Chabab

Batoul

et al. 2018

Nuclear Physics A

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Motivation : Several theoretical comparisons with experimental data have recently pointed out that the mass tensor of the collective Bohr Hamiltonian cannot be considered as a constant and should be taken as a function of the collective coordinates.Method : The Davydov-Chaban Hamiltonian, describing the collective motion of γ-rigid atomic nuclei, is modified by allowing the mass to depend on the nuclear deformation. Moreover, the eigenvalue problem for this Hamiltonian is solved for Davidson potential and γ = 30 • involving an Asymptotic Iteration Method (AIM). The present model is conventionally called Z(4)-DDM-D (Deformation Dependent Mass with Davidson potential), in respect to the so called Z(4) model.Results : Exact analytical expressions are derived for energy spectra and normalized wave functions, for the present model. The obtained results show an overall agreement with the experimental data for 108−116 Pd, 128−132 Xe, 136, Pt and an important improvement in respect to other models. Prediction of a new candidate nucleus for triaxial symmetry is made.Conclusion : The dependence of the mass on the deformation reduces the increase rate of the moment of inertia with deformation, removing a main drawback of the model and leading to an improved agreement with the corresponding experimental data.

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Electric quadrupole transitions of the Bohr Hamiltonian with Manning–Rosen potential

Cited by 32 publications

References 37 publications

Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method

Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method

Calculations of the decay transitions of the modified Pöschl–Teller potential model via Bohr Hamiltonian technique

Davydov–Chaban Hamiltonian with deformation-dependent mass term for γ= 30∘

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