Approximate solutions of the Schrödinger equation with Hulthén-Hellmann potentials for a quarkonium system



Document title: Approximate solutions of the Schrödinger equation with Hulthén-Hellmann potentials for a quarkonium system
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447177
ISSN: 0035-001X
Authors: 1
1
1
1
Institutions: 1University of Calabar, Department of Physics, Calabar, Cross River. Nigeria
Year:
Season: May-Jun
Volumen: 67
Number: 3
Pages: 482-490
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial 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 c c ¯ and bottomonium b b ¯. 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
Disciplines: Física y astronomía
Keyword: Ecuación de Schrodinger,
Método de Nikiforov-Uvarov,
Potencial Hulthën,
Potencial Hellmann,
Mesones pesados
Keyword: Physics,
Schrodinger equation,
Nikiforov-Uvarov method,
Hulthen potential,
Hellmann potential,
Heavy mesons
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