Comparison between Coulomb and Hulthèn potentials behaviors in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e651" altimg="si2.gif"><mml:mi>γ</mml:mi></mml:math>-rigid nuclei within a generalized uncertainty principle

Chabab, M.; Batoul, A. El; Hamzavi, Majid; Lahbas, A.; Moumene, I.; Oulne, M.

doi:10.1016/j.aop.2019.02.002

Cited by 5 publications

(11 citation statements)

References 35 publications

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“…Here, we recall that, within the ML formalism, the collective quadrupole Hamiltonian of Bohr-Mottelson has the following form [20,48,49] :…”

Section: Theory Of the Modelmentioning

confidence: 99%

“…By virtue of the complexity of this differential equation in its form and in order to find an approximate solution for it, we adapt an approximation of the term proportional to (E − V (β)) by expanding it in power series of α as follows [49]:…”

Section: Theory Of the Modelmentioning

confidence: 99%

“…However the above differential equation was solved exactly with an infinite square well like potential within the standard method [20], and approximately with a scaling Davidson potential [48] by means conjointly of Asymptotic Iteration Method (AIM) [51] and a quantum perturbation method. Also the Coulomb and Hulthen potentials were also studied [49] in this context.…”

Section: Theory Of the Modelmentioning

confidence: 99%

“…Correction to the energy spectrum of system by QPM Before the treatment of perturbation term, it is important to mention that Eq. ( 19) was previously solved for an ISWP [20], Davidson potential (D) [48], Hulthèn and Coulomb potentials [49]. All these potentials are presented in Table 1 in order to be compared with our model.…”

Section: Solutionmentioning

confidence: 99%

“…Table 7. The roots mean square obtained with our model X(3)-SML are compared with the values taken from the models X(3)-S [40], X(3)-D-ML [48], X(3)-H-ML [49] and X(3)-SML for the nuclei : 104 Ru, 120−124 Xe, 148 Nd, 150 Sm, 180−186 Pt and 196 Pt. For this purpose, the fitted values are plotted in figure 4 as a function of the neutron number N for the most isotopic chains considered in the present paper, namely: Ru, Xe, Nd and Pt.…”

Section: Energy Spectrummentioning

confidence: 99%

See 4 more Smart Citations

Collective states of even-even nuclei in gamma-rigid quadrupole Hamiltonian with Minimal Length under the sextic potential

Batoul,

Oulne,

Tagdamte

2021

Preprint

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“…Here, we recall that, within the ML formalism, the collective quadrupole Hamiltonian of Bohr-Mottelson has the following form [20,48,49] :…”

Section: Theory Of the Modelmentioning

confidence: 99%

Section: Theory Of the Modelmentioning

confidence: 99%

Section: Theory Of the Modelmentioning

confidence: 99%

Section: Solutionmentioning

confidence: 99%

Section: Energy Spectrummentioning

confidence: 99%

See 3 more Smart Citations

Collective states of even-even nuclei in gamma-rigid quadrupole Hamiltonian with Minimal Length under the sextic potential

Batoul,

Oulne,

Tagdamte

2021

Preprint

Self Cite

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Probing DDM and ML quantum concepts in shape phase transitions of γ-unstable nuclei

et al. 2023

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Electron-impact excitation of atoms or ions with the screened Coulomb potential

Chen

2023

Physics of Plasmas

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This paper reports the development of a novel distorted wave approach based on the relativistic configuration interaction theory for calculating atomic structures, radiative properties, and collision dynamics of atoms or ions under external confinement. Due to its physical interpretations, the Hulthén potential, valid for many important areas (widely plasma environments) in physics and chemistry, such as atomic physics, solid-state physics, nuclear physics, particle physics, and astrophysics, is used to include the effect of plasma background. The Breit interaction and quantum electromagnetic dynamics effects are perturbatively included in the multi-electron Hamiltonian. Wave functions of bound and continuous states are obtained, which are analyzed by means of the Dirac equations. Interparticle interactions in the scattering matrix element of the system are described by the screened Coulomb interactions. As a test desk, the present approach is applied to the calculation of atomic structures and collision dynamics of an exemplary He-like S14+ ion embedded in a plasma. The energy eigenvalues, transition probabilities, and excitation cross sections are analyzed in detail in terms of the screening parameter. The results of the verification cases are compared to references from the literature, which show a good agreement. The present study not only opens up an opportunity to provide a simple and effective way for understanding the plasma shielding models for many-electron systems but also has important implications for a wide range of applications in astrophysics and laboratory plasma experiments.

show abstract

Comparison between Coulomb and Hulthèn potentials behaviors in γ-rigid nuclei within a generalized uncertainty principle

Cited by 5 publications

References 35 publications

Collective states of even-even nuclei in gamma-rigid quadrupole Hamiltonian with Minimal Length under the sextic potential

Collective states of even-even nuclei in gamma-rigid quadrupole Hamiltonian with Minimal Length under the sextic potential

Probing DDM and ML quantum concepts in shape phase transitions of γ-unstable nuclei

Electron-impact excitation of atoms or ions with the screened Coulomb potential

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