The Hulthén Potential Model for Hydrogen Atoms in Debye Plasma

Bahar, M. K.; Soylu, A.; Poszwa, A.

doi:10.1109/tps.2016.2604421

Cited by 29 publications

(16 citation statements)

References 41 publications

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“…In the classical limit, the electrons obey the Maxwell–Boltzmann equilibrium distribution. By using this distribution and Poisson equation, the screening potential energy between two point particles with ± e charged is given by [31]:

V ((), r) = \frac{e^{2}}{εr} \exp ((), - r / λ),

where ε is the dielectric constant of semiconductor medium. λ is the plasma screening parameter called as Debye length, and being T is plasma temperature, and n is the number density, λ ∼ ( T / n ) 1/2 is in question.…”

Section: Introductionmentioning

confidence: 99%

Optical response of plasma processed quantum dot under the external fields

Kılıç

Bahar

2020

Int J of Quantum Chemistry

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We investigate theoretically the total refractive index changes (TRICs) and the total absorption coefficients (TACs) of two‐electron Gaussian quantum dot (TEGQD) including Gaussian potential confinement generated by GaAs/GaAlAs heterostructure, embedded in Debye and quantum plasma environments modeled by the more general exponential cosine screened Coulomb (MGECSC) potential, under the influence of the external electric and magnetic field. The wave equation is solved within the effective mass approach framework by using Runge–Kutta–Fehlberg method in order to obtain the subband spectra and the electronic wave functions of TEGQD. Nonlinear optical response of TEGQD is obtained through the compact‐density‐matrix formalism within the iterative method. The effects of both Debye and quantum plasma environments in the strong and weak regimes of the external fields are considered and compared throughout the study. The potents of the external electric field, the external magnetic field, the quantum dot width, the barrier height, and the plasma screening on TRICs and TACs resonant frequencies and amplitudes are analyzed. In addition to these analyses, the alternatives to each parameter effects of the model are also elucidated. TRICs and TACs analyze are carried out in a plasma‐free environment, and thus the function of environments with plasma compared to that without plasma is better explained. Thanks to all these reviews, it is elucidated how to and at what ranges perform in terms of the incident photon energy of TEGQD's optimum for TRICs and TACs characters by using plasma, and in which cases it will be an alternative to the external field and geometrical encompassing.

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V ((), r) = \frac{e^{2}}{εr} \exp ((), - r / λ),

Section: Introductionmentioning

confidence: 99%

Optical response of plasma processed quantum dot under the external fields

Kılıç

Bahar

2020

Int J of Quantum Chemistry

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“…In last two decades, this system has been studied vigorously with immense interest. The impact of plasma screening effect on energy spectrum [11][12][13][14], inelastic electron-ion scattering [15,16], two proton transitions [17,18] and transition probabilities involving electron-impact excitation [19][20][21], etc., have been investigated. The dynamic plasma screening effect was considered in [22][23][24][25].…”

Section: γ >mentioning

confidence: 99%

Hydrogen-like ions in plasma environment

Mukherjee,

Patra,

Roy

2022

Preprint

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The behavior of H-like ions embedded in astrophysical plasmas in the form of dense, strongly and weakly coupled plasmas are investigated. In these, the increase and decrease in temperature is impacted with a change in confinement radius (r c ). Two independent and generalized scaling ideas have been applied to modulate the effect of plasma screening constant (λ) and charge of ion (Z) on such systems. Several new relations are derived to interconnect the original Hamiltonian and two scaled Hamiltonians. In exponential cosine screened Coulomb potential (ECSCP) (dense) and weakly coupled plasma (WCP) these scaling relations have provided a linear equation connecting the critical screening constant (λ (c) ) and Z. Their ratio offers a state-dependent constant, beyond which, a particular state vanishes. Shannon entropy has been employed to understand the plasma effect on the ion. With increase in λ, the accumulation of opposite charge surrounding the ion increases leading to a reduction in number of bound states. However, with rise in ionic charge Z, this effect can be delayed. The competing effect of plasma charge density (n e ) and temperature in WCP and ECSCP is investigated. A recently proposed simple virial-like theorem has been established for these systems. Multipole (k = 1 − 4) oscillator strength (OS) and polarizabilities for these are studied considering 1s, 2s states. As a bonus, analytical closed-form expressions are derived for f (k) and α (k) (k = 1 − 4) involving 1s and 2s state, for free H-like ion.

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“…where h is the coupling strength and b is the range. Hulthen potential is extensively used in atomic, molecular, plasma and mathematical physics [50][51][52][53][54][55], chemical physics [56][57][58], nuclear physics [59][60][61], and particle physics [62][63][64].…”

Section: Potential Modelmentioning

confidence: 99%

Nonrelativistic treatment of fully-heavy tetraquarks as diquark-antidiquark states

Mutuk

2021

Eur. Phys. J. C

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The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited $$cc{\bar{c}}{\bar{c}}$$ c c c ¯ c ¯ and $$bb{\bar{b}}{\bar{b}}$$ b b b ¯ b ¯ tetraquark masses. It was found that predicted masses of ground states of $$cc{\bar{c}}{\bar{c}}$$ c c c ¯ c ¯ and $$bb{\bar{b}}{\bar{b}}$$ b b b ¯ b ¯ tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited $$cc{\bar{c}}{\bar{c}}$$ c c c ¯ c ¯ and $$bb{\bar{b}}{\bar{b}}$$ b b b ¯ b ¯ tetraquark states.

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The Hulthén Potential Model for Hydrogen Atoms in Debye Plasma

Cited by 29 publications

References 41 publications

Optical response of plasma processed quantum dot under the external fields

Optical response of plasma processed quantum dot under the external fields

Hydrogen-like ions in plasma environment

Nonrelativistic treatment of fully-heavy tetraquarks as diquark-antidiquark states

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