The equation-transform model for Dirac–Morse problem including Coulomb tensor interaction

•The Dirac equation with tensor interaction is solved by using Laplace transform.•For solving this equation, we introduce the equation-transform model.•Numerical results and plots for pseudospin and spin symmetric solutions are given.•The obtained numerical results by using transform method are compared with orthogonal polynomial method.

The approximate solutions of Dirac equation with Morse potential in the presence of Coulomb-like tensor potential are obtained by using Laplace transform (LT) approach. The energy eigenvalue equation of the Dirac particles is found and some numerical results are obtained. By using convolution integral, the corresponding radial wave functions are presented in terms of confluent hypergeometric functions.