Abstract
Closed form expressions for all partial waves of the pure Coulomb off-shell T-matrix 〈p¦ Tc,l.(k2) ¦p′〉 are obtained. All singularities appear through simple special functions, which makes it possible to study the analytic properties of 〈p¦ Tc,l(k2) ¦p′〉 as a function not only of one of the momentap, p′ but even of both of them. With use of the renormalization procedure found by Zorbas the transition to half-and on-shell values is performed reproducing known expressions. By the same method simple expressions for the partial waves of the Coulomb wave function in the momentum representation are found.
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