New Generalized Morse-Like Potential for Studying the Atomic Interaction in Diatomic Molecules

Ekpo, C. M.; Okoi, P. O.; Magu, T. O.; Agbo, Emmanuel P.; Okorie, Kalu Okam; Inyang, E. P.

doi:10.48550/arxiv.2012.02581

Cited by 2 publications

(1 citation statement)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There potential should take into account the two important features of the strong interaction, namely,asymptotic freedom and quark confinement [4]. The SE has been solved using various methods such as, asymptotic iteration method (AIM) [5] Laplace transformation method [6], super symmetric quantum mechanics method (SUSQM) [7] , Nikiforov-Uvarov(NU) method [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] ,series expansion method [23] and others.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System

Inyang¹,

Ntibi²,

William³

2021

Bulletin of Pure &Amp; Applied Sciences- Physics

Self Cite

View full text Add to dashboard Cite

In this work, we obtain the Schrödinger equation solutions for the Kratzer potential plus screened Coulomb potential model using the series expansion method. The energy eigenvalues is obtained in non-relativistic regime and the corresponding unnormalized eigenfunction. Three special cases were obtained. We applied the present results to calculate heavy-meson masses of charmonium cc and bottomonium bb , and we got the numerical values for 1S, 2S, 1P,2P, 3S, 4S ,1D,2D and 1F states. The results are in good agreement with experimental data and the work of other researchers.

show abstract

Section: Introductionmentioning

confidence: 99%

Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System

Inyang¹,

Ntibi²,

William³

2021

Bulletin of Pure &Amp; Applied Sciences- Physics

Self Cite

View full text Add to dashboard Cite

show abstract

Study on the Applicability of Varshni Potential to Predict the Mass Spectra of the Quark-Antiquark Systems in a Non-relativistic Framework

2021

JJP

View full text Add to dashboard Cite

In this work, we obtain the Schrödinger equation solutions for the Varshni potential using the Nikiforov-Uvarov method. The energy eigenvalues are obtained in non-relativistic regime. The corresponding eigenfunction is obtained in terms of Laguerre polynomials. We applied the present results to calculate heavy-meson masses of charmonium cc ¯ and bottomonium bb ¯. The mass spectra for charmonium and bottomonium multiplets have been predicted numerically. The results are in good agreement with experimental data and the works of other researchers. Keywords: Schrödinger equation, Varshni potential, Nikiforov-Uvarov method, Heavy meson. PACs: 14.20.Lq; 03.65.-w; 14.40.Pq; 11.80.Fv.

show abstract

New Generalized Morse-Like Potential for Studying the Atomic Interaction in Diatomic Molecules

Cited by 2 publications

References 27 publications

Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System

Analytical Solutions of the Schrödinger Equation with Kratzer-screened Coulomb Potential for a Quarkonium System

Study on the Applicability of Varshni Potential to Predict the Mass Spectra of the Quark-Antiquark Systems in a Non-relativistic Framework

Contact Info

Product

Resources

About