Analytical bound state solutions of the Dirac equation with the Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction

Ahmadov, A. I.; Demirci, Mehmet; Mustamin, M. F.; Aslanova, S. M.; Orujova, M. Sh.

doi:10.1140/epjp/s13360-021-01163-y

Cited by 17 publications

(4 citation statements)

References 47 publications

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“…In the case of arbitrary 𝑘, an appropriate approximation needs to be employed on the centrifugal terms. We apply the following improved approximation which was applied by Greene and Aldrich [83][84][85][86]90]:…”

Section: Constructing the Ihheiqp Model In Ddt Symmetriesmentioning

confidence: 99%

The Influence of Deformation Space-Space on High and Low Energy Spectra of Fermionic Particles and Spectra of Heavy Quarkonia with Improved Hulthén Plus Hyperbolic Exponential Inversely Quadratic Potential

Maireche

2023

Ukr. J. Phys.

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In this work, the modified approximation to the centrifugal barrier term is applied to find approximate bound-state solutions of the deformed Dirac equation for the spin and pseudospin symmetries in a model with the improved hyperbolic Hulth´en and hyperbolic exponential inversely quadratic potentials (IHHEIQPs) using the parametric method of Bopp’s shift and the standard perturbation theory in the extended relativistic quantum mechanics (ERQM). Our results indicate that the new energy eigenvalues are highly sensitive to the potential parameters (ν1, A) and to the values of quantum atomicnumbers (j, k, l, m,̃︀ l, ̃︀ m, s, ̃︀s), range of the potential ν, and noncommutativity parameters (θ, σ, β). We found that the effect of a space-space deformation gives a correction in the energy spectrum, where the main energy term remains due to the effect of the hyperbolic Hulth´en and hyperbolic exponential inversely quadratic potentials known in the literature. The new nonrelativistic energies are obtained by applying the nonrelativistic limit to the relativistic spin-energy equation in the extended nonrelativistic quantum mechanics (ENRQM). The proposed potential model reduces to the improved Hulth´en and exponential inversely quadratic potentials as special cases in ERQM. The present results are applied for calculating the new mass spectra Mhiqpnc−nl of heavy mesons such as cc, bb, bc, bs, cs, and bq,q = (u, d) in ENRQM. It turns out that the values of masses come from the contribution of the mass spectra Mhiqpnl in NRQM, while the effect of a space-space deformation δMhiqpnc−nl is an infinitesimal correction as compared with Mhiqpnl. Our results seem to be significant and agree perfectly with the ones in the literature.

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Section: Constructing the Ihheiqp Model In Ddt Symmetriesmentioning

confidence: 99%

The Influence of Deformation Space-Space on High and Low Energy Spectra of Fermionic Particles and Spectra of Heavy Quarkonia with Improved Hulthén Plus Hyperbolic Exponential Inversely Quadratic Potential

Maireche

2023

Ukr. J. Phys.

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“…A combination of two potentials has aroused extensive research interest in literature. Many researchers have adopted this type of potential to carry out some works [8,9,10,11,12,13,14,15]. Motivated by these works, we consider the following form of potential model which is the superposition of Hulthn [16] and a class of Yukawa [17] potentials…”

Section: Introductionmentioning

confidence: 99%

“…α is the screening parameter which determines the range of potential, A and B are the coupling strengths of the potential. Hulthn plus a class of Yukawa potential has been newly proposed by Ahmadov et al [15]. Bound state solutions of the Dirac equation under the spin and pseudospin symmetries for this potential including Coulomb-like tensor interaction have been presented in [15].…”

Section: Introductionmentioning

confidence: 99%

“…Hulthn plus a class of Yukawa potential has been newly proposed by Ahmadov et al [15]. Bound state solutions of the Dirac equation under the spin and pseudospin symmetries for this potential including Coulomb-like tensor interaction have been presented in [15]. As far as we know, no report has been made so far in literature employing this combined potential within the framework of non-relativistic theory.…”

Section: Introductionmentioning

confidence: 99%

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Özfidan

2022

Proceedings of International Mathematical Sciences

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Spin Symmetric Solutions in Central Field Including Tensor Interaction

Özfidan

2022

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Analytical bound state solutions of the Dirac equation with the Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction

Cited by 17 publications

References 47 publications

The Influence of Deformation Space-Space on High and Low Energy Spectra of Fermionic Particles and Spectra of Heavy Quarkonia with Improved Hulthén Plus Hyperbolic Exponential Inversely Quadratic Potential

The Influence of Deformation Space-Space on High and Low Energy Spectra of Fermionic Particles and Spectra of Heavy Quarkonia with Improved Hulthén Plus Hyperbolic Exponential Inversely Quadratic Potential

Approximate analytical solutions of the Schrodinger equation in central potential field

Spin Symmetric Solutions in Central Field Including Tensor Interaction

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