Relativistic corrections of order mα6: singular operators and regularization

Abstract

The finite operators are derived for the nonrecoil (leading order in the (m/M) expansion) relativistic corrections in hydrogen-like atoms and ions at orders mα6 in the two- and three-body formalism beyond the adiabatic approximation. Singular operators that appear in the derivation are analysed, and various regularization methods are discussed.

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