Probing Resonances and Pseudospin Symmetry of the Eckart Potential by the Complex Scaling Method within the Relativistic Framework

The complex scaling method is applied to probe the resonances of a Dirac particle in the Eckart potential, along with the corresponding energies and widths obtained. Then, the dependence of the resonant energies and widths on the parameters of the potential is checked. The results indicate that the energy and width of the pseudospin doublets preserve a good pseudospin symmetry. Furthermore, the quality of pseudospin symmetry is correlated with the parameters of the Eckart potential.