Bohr Hamiltonian with Davidson potential for triaxial nuclei

Yigitoglu, I.; Bonatsos, Dennis

doi:10.1103/physrevc.83.014303

Cited by 59 publications

(48 citation statements)

References 58 publications

(128 reference statements)

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“…The reduction of the present wave functions Eq. (20) and the normalization constant Eq. (21) to the form they have in B β =B γ =B rot = 1 limit are in agreement with Eq.…”

Section: Energy Spectrum and Excited-state Wave Functionsmentioning

confidence: 99%

Excited states of odd-mass nuclei with different deformation-dependent mass coefficients

et al. 2020

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Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the properties of low-lying collective states of the odd nuclei 173 Yb and 163 Dy by using a new generalized version of the collective quadrupole Bohr Hamiltonian with deformation-dependent mass coefficients. The proposed new version of the Bohr Hamiltonian is solved for Davidson potential in β shape variable, while the γ potential is taken to be equal to the harmonic oscillator. The obtained results of the excitation energies and B(E2) reduced transition probabilities show an overall agreement with the experimental data. Moreover, we investigate the effect of the deformation dependent mass parameter on energy spectra and transition rates in both cases, namely: when the mass coefficients are different and when they are equal. Besides, we will show the positive effect of the present formalism on the moment of inertia.

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“…The reduction of the present wave functions Eq. (20) and the normalization constant Eq. (21) to the form they have in B β =B γ =B rot = 1 limit are in agreement with Eq.…”

Section: Energy Spectrum and Excited-state Wave Functionsmentioning

confidence: 99%

Excited states of odd-mass nuclei with different deformation-dependent mass coefficients

et al. 2020

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“…Such a problem has been solved in [14] but with equal mass coefficients by means of supersymmetric quantum mechanical method (SUSYQM) [23,24]. Furthermore, we will display the essential role played by the mass parameter in the evaluation of nuclear characteristics unlike the Bonatsos et al work [11][12][13][14][15] in which this parameter has been hidden. Thus, the eigenenrgies formula and the corresponding wave functions are derived by means of the asymptotic iteration method (AIM) [25].…”

Section: Introductionmentioning

confidence: 99%

Vibrational and rotational excited states within a Bohr Hamiltonian with a deformation-dependent mass formalism

Chabab

Lahbas²,

Oulne³

2015

Phys. Rev. C

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In a recent work [Phys. Rev. C 84, 044321 (2011)] M. J. Ermamatov and P. R. Fraser have studied rotational and vibrational excited states of axially symmetric nuclei within the Bohr Hamiltonian with different mass parameters. However, the energy formula that the authors have used contains some inaccuracies. So the numerical results they obtained seem to be controversial. In this paper, we revisit all calculations related to this problem and determine the appropriate formula for the energy spectrum. Moreover, in order to improve such calculations, we reconsider this problem within the framework of the deformation-dependent mass formalism. Also, unlike the work of Bonatsos et al. [Phys. Rev. C 83, 044321 (2011)], in which the mass parameter has not been considered, we will show the importance of this parameter and its effect on numerical predictions.

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“…Recently, analytical solutions of the Bohr Hamiltonian regarding the triaxial shapes using a Davidson potential [5] and a sextic oscillator [6] have been obtained, where the triaxial shapes are assumed from the very beginning. The former, called Z(5) − D solution, is shown to cover the region between a triaxial vibrator and the rigid triaxial rotator, while the Z(5) solution corresponds to the critical point of the shape phase transition from a triaxial vibrator to the rigid triaxial rotator.…”

Section: Introductionmentioning

confidence: 99%

Triaxial shapes in the interacting vector boson model

Ganev

2011

Phys. Rev. C

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A new dynamical symmetry limit of the two-fluid Interacting Vector Boson Model (IVBM), defined through the chain Sp(12, R) ⊃ U (3, 3) ⊃ U * (3) ⊗ SU (1, 1) ⊃ SU * (3) ⊃ SO(3), is introduced. The SU * (3) algebra considered in the present paper closely resembles many properties of the SU * (3) limit of IBM-2, which have been shown by many authors geometrically to correspond to the rigid triaxial model. The influence of different types of perturbations on the SU * (3) energy surface, in particular the addition of a Majorana interaction and an O(6) term to the model Hamiltonian, is studied. The effect of these perturbations results in the formation of a stable triaxial minimum in the energy surface of the IVBM Hamiltonian under consideration. Using a schematic Hamiltonian which possesses a perturbed SU * (3) dynamical symmetry, the theory is applied for the calculation of the low-lying energy spectrum of the nucleus

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Bohr Hamiltonian with Davidson potential for triaxial nuclei

Cited by 59 publications

References 58 publications

Excited states of odd-mass nuclei with different deformation-dependent mass coefficients

Excited states of odd-mass nuclei with different deformation-dependent mass coefficients

Vibrational and rotational excited states within a Bohr Hamiltonian with a deformation-dependent mass formalism

Triaxial shapes in the interacting vector boson model

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