Padé approximants and perturbation theory for screened Coulomb potentials

By forming the Pad\'e approximants to the energy perturbation series for screened Coulomb potentials, we study the cases of an electron in the Yukawa potential and a representative screened potential of the atom in the form of the Yukawa potential. It is found that the [6,6] and [6,7] Pad\'e approximants to the energy series can account for the energy eigenvalues of various energy eigenstates to a very high accuracy.