Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions.

¹ INPP and Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA
² NSCL and Dept. of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
³ Lawrence Livermore National Laboratory, L-414, Livermore, California 94551, USA
⁴ Reactor and Nuclear Systems Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA
⁵ SINP M.V. Lomonosov Moscow State University, Moscow, 119991, Russia

^a e-mail: to@vsl.name
^b e-mail: elster@ohio.edu
^* http://reactiontheory.org

Published online: 25 March 2016

Abstract

The repulsive Coulomb force poses severe challenges when describing (d, p) reactions for highly charged nuclei as a three-body problem. Casting Faddeev-AGS equations in a Coulomb basis avoids introducing screening of the Coulomb force. However, momentum space partial-wave t-matrix elements need to be evaluated in this basis. When those t-matrices are separable, the evaluation requires the folding of a form factor, depending on one momentum variable, with a momentum space partial-wave Coulomb function, which has a singular behavior at the external momentum q. We developed an improved regularization scheme to calculate Coulomb distorted form factors as the integral over the Coulomb function and complex nuclear form factors.