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We investigate the approximate solutions of the Dirac equation with theposition-dependent mass particle in the Eckart potential field including theCoulomb tensor interaction by using the parametric Nikiforov-Uvarov method.Taking an appropriate approximation to deal with the centrifugal term, theDirac energy states and the corresponding normalized two-spinor components ofthe wave function are obtained in closed form. Some special cases of oursolution are investigated. Furthermore, we present the correct solutionsobtained via the asymptotic iteration method which are in agreement with theparametric Nikiforov-Uvarov method results.

Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction