Approximate analytical solutions of Dirac Equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum

Abstract

Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in the closed form and the spinor wave functions by using an algebraic method. We also perform numerical calculations for the Pöschl-Teller potential to show the effect of the tensor interaction. Our results are consistent with ones obtained before.

References in corpus (3)

• Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method
• Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
• Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials

Cited by in corpus (6)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Conservation and breaking of pseudospin symmetry
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential