Any$$\mathbf {\, }l$$-State Energy of the Spinless Salpeter Equation Under the Cornell Potential by the WKB Approximation Method: An Application to Mass Spectra of Mesons

Omugbe, E.; Osafile, O. E.; Okon, I. B.; Inyang, E. P.; William, E. S.; Jahanshir, Arezu

doi:10.1007/s00601-021-01705-1

Cited by 35 publications

(15 citation statements)

References 33 publications

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“…Many researchers have recently used various analytical techniques to obtain the solutions of the SE with interacting potentials [3][4][5][6]. Examples include the series expansion method [7], WKB approximation method [8,9], asymptotic iteration method (AIM) [10,11], Nikiforov-Uvaforov (NU) method [12][13][14][15], NU-functional analysis (NUFA) approach [16], and others.…”

Section: Introductionmentioning

confidence: 99%

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N₂, NO, CO and H₂ diatomic molecules

William

Okon

Ekerenam

et al. 2022

Int J of Quantum Chemistry

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The influence of external magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N2, NO, CO and H2 diatomic molecules are investigated in this study. The two‐dimensional Schrödinger equation is solved with the Varshni‐screened Coulomb potential (VSCP) model using the well‐known Nikiforov‐Uvarov (NU) method. We obtained the energy eigenvalues and wavefunctions of the system and calculated the energy levels of some diatomic molecules in the m‐arbitrary state in the presence and absence of external magnetic and AB flux fields. The results show that combining the magnetic and AB flux fields eliminates degeneracy. We analyzed and plotted the partition function and other thermal properties in the presence of a magnetic field, an AB field, and a temperature‐dependent term.

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Section: Introductionmentioning

confidence: 99%

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N₂, NO, CO and H₂ diatomic molecules

William

Okon

Ekerenam

et al. 2022

Int J of Quantum Chemistry

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“…In non-relativistic quantum mechanics, researchers work mostly on the solutions of the Schrödinger equation (SE) to obtain the eigenvalues and eigenfunction. These eigenvalues and eigenfunction can be used to study the mass spectra (MS) of the heavy mesons, and theoretic measures, among other things [1,2,3,4]. In describing the interaction of charmonium (cc) and bottomonium (b b), a Cornell potential (CP) is used because of the Coulomb interaction and a confining term [5].…”

Section: Introductionmentioning

confidence: 99%

Masses and thermal properties of a Charmonium and Bottomonium Mesons

Inyang

Obisung

Iwuji

et al. 2022

J. Nig. Soc. Phys. Sci.

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In this research, we model Hulthén plus generalized inverse quadratic Yukawa potential to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained using the Nikiforov-Uvarov method. The energy spectrum and normalized wave function were obtained. The masses of the heavy mesons for different quantum states such as 1S, 2S , 1P, 2P 3S, 4S, 1D, and 2D were predicted as 3.096 GeV, 3.686 GeV, 3.327 GeV, 3.774GeV, 4.040 GeV, 4.364GeV, 3.761 GeV, and 4.058 GeV respectively for charmonium (cc). Also, for bottomonium (bb) we obtained 9.460 GeV, 10.023 GeV, 9.841 GeV, 10.160 GeV, 10.345 GeV, 10.522 GeV, and 10.142GeV for different states of 1S , 2S , 1P , 2P , 3S , 4S , 1D respectively. The partition function was calculated from the energy spectrum, thereafter other thermal properties were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data with a percentage error of 1.60 % and 0.46 % for (cc) and (bb), respectively.

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“…The study of diatomic molecules and their positive ions with the Schrödinger equation (SE) over the years have attracted the interest of both experimental and theoretical scientist because of its importance in chemistry and physics [1,2]. This is because solutions of the SE contain information about the system [3]. The solutions of the SE with different diatomic potential functions have been investigated by many authors [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

The Study of Electronic States of Ni and ScI Molecules with Screened Kratzer Potential

Inyang

Obisung

2022

EEJP

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In this study, the analytical solutions of the Schrödinger equation with the screened Kratzer potential model is solved using the well-known Nikiforov-Uvarov method. The energy spectrum and the normalized wave function with the Greene-Aldrich approximation to the centrifugal term are obtained. The energy spectrum is used to generate eigenvalues for X3Σ- state of NI and X1Σ+ state of ScI molecules respectively. The calculated results agree excellently with the experimental data. This research finds application in chemistry, industry, molecular physics and studies on magnetocaloric effect for several molecules. Our findings also demonstrate that the approximation scheme is well suited for this potential.

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Any$$\mathbf {\, }l$$-State Energy of the Spinless Salpeter Equation Under the Cornell Potential by the WKB Approximation Method: An Application to Mass Spectra of Mesons

Cited by 35 publications

References 33 publications

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N₂, NO, CO and H₂ diatomic molecules

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N₂, NO, CO and H₂ diatomic molecules

Masses and thermal properties of a Charmonium and Bottomonium Mesons

The Study of Electronic States of Ni and ScI Molecules with Screened Kratzer Potential

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Any$$\mathbf {\, }l$$-State Energy of the Spinless Salpeter Equation Under the Cornell Potential by the WKB Approximation Method: An Application to Mass Spectra of Mesons

Cited by 35 publications

References 33 publications

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N2, NO, CO and H2 diatomic molecules

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N2, NO, CO and H2 diatomic molecules

Masses and thermal properties of a Charmonium and Bottomonium Mesons

The Study of Electronic States of Ni and ScI Molecules with Screened Kratzer Potential

Contact Info

Product

Resources

About

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N₂, NO, CO and H₂ diatomic molecules

Analyzing the effects of magnetic and Aharonov‐Bohm (AB) flux fields on the energy spectra and thermal properties of N₂, NO, CO and H₂ diatomic molecules