Approximate solutions of D-dimensional Klein–Gordon equation with Yukawa potential via Nikiforov–Uvarov method

Inyang, E. P.; Ntibi, Joseph E.; Ibekwe, E. E.; William, E. S.

doi:10.1007/s12648-020-01933-x

Cited by 37 publications

(28 citation statements)

References 13 publications

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“…Experimental data is taken from [59]. We note that prediction of mass spectra of charmonium and bottomonium are in acceptable concurrence with experimental data and other recent theoretical predictions, like in [47] and [49], as shown in Tables VII and VIII.…”

Section: A Discussionsupporting

confidence: 74%

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Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation

et al. 2021

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In this work, we obtain solutions of the Schrödinger equation with Kratzer-screened Coulomb potential (KSCP) model using the series expansion method. Explicitly, we compute the bound state energy eigenvalues for selected diatomic molecules of N2, CO, NO, and CH, respectively, for the various vibrational and rotational quantum states and the numerical energy eigenvalues agree with the existing literature. Three special cases were considered. The energy eigenvalues are applied to obtain the mass spectra of heavy quarkonium system such as charmonium and bottomonium. The results agree with the experimental data and other recent theoretical studies.

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Section: A Discussionsupporting

confidence: 74%

“…Several authors have carried out studies with Cornell potential to obtain the mass spectra of heavy quarkonia [44]- [46]. Recently, researchers are applying the exponential type of potential to study the mass spectra of heavy quarkonium system [47]- [50].…”

Section: Introductionmentioning

confidence: 99%

Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation

et al. 2021

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“…Conclusively, we note here that our study of the generalized Morse potential in non-trivial gravitational background, such as what we treated in this study, will aid in the understanding of the problems of combining quantum mechanics and general relativity. The present model (GMP) could be applied for calculating the mass spectra of heavy mesons such as charmonium and bottomonium [61][62][63].…”

Section: Discussionmentioning

confidence: 99%

Analyzing the Effects of Topological Defect (TD) on the Energy Spectra and Thermal Properties of LiH, TiC and I2 Diatomic Molecules

Nwabuzor

Edet

Ikot

et al. 2021

Entropy

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In this study, the impacts of TD on the energy spectra and thermal properties of LiH, TiC and I2 diatomic molecules is considered. The Schrodinger equation in cosmic string spacetime is solved with the generalized Morse potential using the well-known (NU) method. The energy spectra and eigenfunction are obtained respectively. The energy spectra is used to obtain the partition function which is then used to evaluate the thermal properties of the system is evaluated accordingly. We find that the energy spectra in the presence of the TD differ from their flat Minkowski spacetime analogue. The effects of the deformation parameter and TD on the thermal properties of the system is also analysed in detail. We observe that the specific heat capacity of the system tends to exhibit quasi-saturation as the deformation parameter and topological defect approaches unity. The results of our study can be applied in the astrophysical situation where these modifications exist in the understanding of spectroscopical data and it may be used as a probe of the presence of a cosmic string or a global monopole in the Universe.

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“…These potentials have been used to study bound state problems by many researchers [14][15][16][17][18][19][20]. Recently, Inyang et al [21] obtained the Klein-Gordon equation solutions for the Yukawa potential using the Nikiforov-Uvarov (NU) method. The energy eigenvalues were obtained both in a relativistic and non-relativistic regime.…”

Section: Introductionmentioning

confidence: 99%

Approximate solutions of the Schrödinger equation with Hulthén-Hellmann Potentials for a Quarkonium system

2021

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Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial Schrödinger equation analytically using the Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave function in terms of Laguerre polynomials were obtained. The present results are applied for calculating the mass of heavy mesons such as charmonium and bottomonium. Four special cases were considered when some of the potential parameters were set to zero, resulting into Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and the work of other researchers.

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Approximate solutions of D-dimensional Klein–Gordon equation with Yukawa potential via Nikiforov–Uvarov method

Cited by 37 publications

References 13 publications

Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation

Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation

Analyzing the Effects of Topological Defect (TD) on the Energy Spectra and Thermal Properties of LiH, TiC and I2 Diatomic Molecules

Approximate solutions of the Schrödinger equation with Hulthén-Hellmann Potentials for a Quarkonium system

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