Stark resonances of a hydrogen-like atom under exponential cosine screened Coulomb potential

Abstract

We have developed a computational method to solve the complex scaled Schrödinger equation by basis expansion with a set of Laguerre polynomials, which results in the Hamiltonian of a hydrogen-like atom under the exponential cosine screened Coulomb (ECSC) potential imposed by an external electric field becoming a tridiagonal form. We have checked the convergence of computations with respect to the size of basis and stability against the complex scaling parameter in satisfactory results. Furthermore, we have explored the Stark resonances for a hydrogen-like atom under the ECSC potential, the available energies and widths are in agreement with those in the other methods.