Exact Solutions of A Spatially Dependent Mass Dirac Equation for Coulomb Field Plus Tensor Interaction Via Laplace Transformation Method

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Journal Title, Volume, Page: 
Advances in High Energy Physics, Volume 2012 , Article ID 873619, 15 pages
Year of Publication: 
2012
Authors: 
S. M. Ikhdair
Physics Department, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
M. Hamzavi
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
M. Eshghi
Physics Department, Imam Hossein Comprehensive University, Tehran, Iran
Preferred Abstract (Original): 
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 number 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
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