Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method. (4th December 2012)

• Record Type: Journal Article
• Authors: Eshghi, M.; Hamzavi, M.; Ikhdair, S. M.
• Other Names: Cheung Kingman Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2012(2012)
• Publication Date: 2012-12-04
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2012/873619
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : The spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum numberκ . Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit and in the absence of tensor interaction( T = 0 ) .