Mass Spectrum of Mesons via the WKB Approximation Method
In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/5901464 |
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| author | Ekwevugbe Omugbe Omosede E. Osafile Michael C. Onyeaju |
| author_facet | Ekwevugbe Omugbe Omosede E. Osafile Michael C. Onyeaju |
| author_sort | Ekwevugbe Omugbe |
| collection | DOAJ |
| description | In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved the Schrödinger equation with the Killingbeck potential plus an inversely quadratic potential (KPIQP) function. The special cases of the modeled potential are discussed. We obtained the energy eigenvalues and the mass spectra of the heavy QQ¯ and heavy-light Qq¯ mesons systems. The results in this present work are in good agreement with the results obtained by other analytical methods and available experimental data in the literature. |
| format | Article |
| id | doaj-art-db211a1bc2e045bf96b61b4ddea5da70 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-db211a1bc2e045bf96b61b4ddea5da702025-08-20T03:24:21ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/59014645901464Mass Spectrum of Mesons via the WKB Approximation MethodEkwevugbe Omugbe0Omosede E. Osafile1Michael C. Onyeaju2Department of Physics, Federal University of Petroleum Resources, Effurun, Delta State, NigeriaDepartment of Physics, Federal University of Petroleum Resources, Effurun, Delta State, NigeriaTheoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, NigeriaIn this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved the Schrödinger equation with the Killingbeck potential plus an inversely quadratic potential (KPIQP) function. The special cases of the modeled potential are discussed. We obtained the energy eigenvalues and the mass spectra of the heavy QQ¯ and heavy-light Qq¯ mesons systems. The results in this present work are in good agreement with the results obtained by other analytical methods and available experimental data in the literature.http://dx.doi.org/10.1155/2020/5901464 |
| spellingShingle | Ekwevugbe Omugbe Omosede E. Osafile Michael C. Onyeaju Mass Spectrum of Mesons via the WKB Approximation Method Advances in High Energy Physics |
| title | Mass Spectrum of Mesons via the WKB Approximation Method |
| title_full | Mass Spectrum of Mesons via the WKB Approximation Method |
| title_fullStr | Mass Spectrum of Mesons via the WKB Approximation Method |
| title_full_unstemmed | Mass Spectrum of Mesons via the WKB Approximation Method |
| title_short | Mass Spectrum of Mesons via the WKB Approximation Method |
| title_sort | mass spectrum of mesons via the wkb approximation method |
| url | http://dx.doi.org/10.1155/2020/5901464 |
| work_keys_str_mv | AT ekwevugbeomugbe massspectrumofmesonsviathewkbapproximationmethod AT omosedeeosafile massspectrumofmesonsviathewkbapproximationmethod AT michaelconyeaju massspectrumofmesonsviathewkbapproximationmethod |