Abstract
An iterative and nonlinear procedure based on Renormalization group ideas is investigated for static screened Coulomb potentials through successive inclusion of excited 2-body orbitals. The key quantities are dielectric constants for every excited state, built into a hierarchy of nonlinear differential equations. Different numerical approaches to the Schrödinger problem are contrasted. They are implemented through the analytic solutions of the given HULTHEN potential. As a result, one observes a systematic shallowing of the pair interaction altogether with a blue shift of the bound-bound transitions.
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