Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov-Uvarov method

DOI10.1186/s42787-019-0014-0zbMath1427.81183arXiv1901.00470OpenAlexW3102658048MaRDI QIDQ2338151

M. Abu-Shady, Sh. Y. Ezz-Alarab, T. A. Abdel-Karim

Publication date: 21 November 2019

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00470

zbMATH Keywords

Schrödinger equationthermodynamic propertiesCornell potentialheavy mesons

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Nuclear physics (81V35) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05) Quantum optics (81V80) Statistical thermodynamics (82B30)

Related Items (3)

Mass spectrum of mesons via the WKB approximation method ⋮ Heavy quarkonium systems for the deformed unequal scalar and vector Coulomb–Hulthén potential within the deformed effective mass Klein–Gordon equation using the improved approximation of the centrifugal term and Bopp’s shift method in RNCQM symmetries ⋮ Bound state solution Schrödinger equation for extended Cornell potential at finite temperature

Cites Work

• Unnamed Item
• Determination of the mass spectrum of quarkonia by the Nikiforov-Uvarov method
• The chiral phase transition and thermodynamic properties in the Nambu-Jona-Lasinio model using the midpoint technique
• Binding energies and dissociation temperatures of heavy quarkonia at finite temperature and chemical potential in the \(N\)-dimensional space
• \(N\)-midpoint rule for calculating the effective mesonic potential at finite temperature
• Exact analytical solution of the \(N\)-dimensional radial Schrödinger equation with pseudoharmonic potential via Laplace transform approach
• Asymptotic iteration method for eigenvalue problems
• Series solutions to theN-dimensional radial Schrödinger equation for the quark–antiquark interaction potential

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