Analytical solutions to the Schrodinger equation for a generalized Cornell potential and its applications to diatomic molecules and heavy mesons

Kumar, Vinod; Singh, Ram Mehar; Bhardwaj, S. B.; Rani, Richa; Chand, Fakir

doi:10.1142/s0217732322500109

Cited by 35 publications

(18 citation statements)

References 56 publications

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“…The eigenvalues were used to calculate the MS of the HMs. Also, Kumar et al, [38] used the NUFA method to solve the SE with generalized Cornell potential. The result was used to predict the MS of the HMs.…”

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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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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show abstract

“…The eigenvalues were used to calculate the MS of the mesons. Also, Kumar et al [21] used the NUFA method to solved the SE with generalized CP. The result was used to determine the MS of the heavy quarks.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Topological Defect on the Mass Spectra of Heavy and Heavy-Light Quarkonia

Inyang¹

2022

Eurasian phys. tech. j.

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In this present study, the effect of Topological Defect on the mass spectra of heavy and heavy-light mesons such as charmonium, bottomonium, and charm-strange ,bottom-charm respectively are studied with the Hulthen plus Yukawa potential. The Schrödinger equation is solved analytically using the Nikiforov-Uvarov method. The approximate solutions of the energy spectrum and un-normalized wave function were obtained. We applied the present results to predict the mass spectra of heavy and heavy-light mesons in the presence and absence of a topological defect for different quantum states. We noticed that when the topological defect increases the mass spectra are shifted and move closer to the experimental data. However, when compared to the work of other researchers, the results established an improvement.

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“…In addition, a few investigations have been done in the background of the topological defects produced by a point-like global monopole [25,26]. In the present analysis, we are mainly interested in the anharmonic oscillator potential given by [23,[27][28][29][30][31][32]]…”

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confidence: 99%