Eigenenergies and oscillator strengths for the Hulthén potential

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Abstract
A detailed study of the bound-state properties of the Hulthén potential is presented. Accurate eigenenergies are obtained for the Hulthén potential by numerical integration of the Schrödinger equation. One-parameter variational calculations are carried out. The variational results are practically identical to the exact energies, except in the high-screening region. The critical screening parameter is calculated for various values of l for n≤10 by a numerical solution of the wave equation. The energy eigenvalues obtained by a variety of methods are compared and discussed. The variational wave functions are employed to calculate absorption oscillator strengths for 1s→2p, 1s→3p, and 2p→3d transitions.