Approximate arbitrary-state solutions of Dirac equation for modified deformed Hylleraas and Modified Eckart potentials by the NU method

We inquire into spin and pseudospin symmetries of Dirac equation under modified deformed Hylleraas and modified Eckart potential via a Pekeris approximation and the Nikiforov–Uvarov technique. A tensor interaction of Coulomb form is considered and its degeneracy-removing role is discussed in detail. The solutions are reported for arbitrary quantum number in a compact form and useful numerical data is included.