Scalar–vector–pseudoscalar Cornell potential for a spin-1/2 particle under spin and pseudospin symmetries: 1+1 dimensions

Journal Article · Mon Jul 15 00:00:00 EDT 2013 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.04.007· OSTI ID:22220755

Rajabi, A. A.

The Cornell potential consists of Coulomb and linear potentials, i.e. −a/x+bx, that has received a great deal of attention in particle and nuclear physics. In this paper, we present exact solutions of the Dirac equation with the mixed scalar–vector–pseudoscalar Cornell potential under spin and pseudospin symmetry limits. The corresponding eigenfunctions are given in the form of the biconfluent Heun polynomials. -- Highlights: •We investigate the Dirac equation with the scalar–vector–pseudoscalar Cornell potential. •The solutions are discussed in view of spin and pseudospin symmetry limits. •The energy levels and the wave function are presented in Heun biconfluent equations.

• OSTI ID: 22220755
• Journal Information: Annals of Physics (New York), Vol. 334; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIRAC EQUATION
EIGENFUNCTIONS
ENERGY LEVELS
EXACT SOLUTIONS
NUCLEAR PHYSICS
POLYNOMIALS
POTENTIALS
SPIN
SYMMETRY
WAVE FUNCTIONS