Spin (Pseudospin) doublet in view of energy-dependent potential

Authors: MUSTAFA SALTI, OKTAY AYDOĞDU

Abstract: Behavior of Dirac particles in the presence of scalar, vector, and tensor potentials respectively represented by energy-dependent Morse and Coulomb-like potentials is examined by working out the Dirac equation under the condition of spin (pseudospin) symmetry. The closed form of the energy eigenvalue equation and corresponding wave functions in terms of hypergeometric functions are acquired by making use of the asymptotic iteration method. We investigate the effect of energy-dependent potential on both bound states and energy splitting between members of spin (pseudospin) doublets.

Keywords: Dirac equation, energy dependent potential, pseudospin and spin doublets

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