Approximate,non-relativistic scattering phase shifts,bound state energies,and wave function normalization factors for a screened Coulomb potential of the Hulthén type

Non-relativistic scattering phase shifts, bound state energies, and wave function normalization factors for a screened Coulomb potential of the Hulthén type are presented in the form of relatively simple analytic expressions. These formulae have been obtained by a suitable renormalization procedure applied to the quantities derived from an approximate Schrödinger equation which contains the exact Hulthén potential together with an approximate angular momentum term. When the screening exponent vanishes, our formulae reduce to the exact Coulomb expressions. The interrelation between our formulae and Pratt's ‘analytic perturbation theory for screened Coulomb potentials’ is discussed.