Analytical solution of the Dirac equation for the hyperbolic potential by the extended Nikiforov-Uvarov method

The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) method analytically. It is presented that the Dirac equation is reduced to the confluent Heun equation. Then eigenfunction solution is obtained in terms of confluent Heun polynomials.Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [118F245]This work has been supported by the Scientific and Technological Research Council of Turkey (TUBITAK) with the project number 118F245