Separable Optical Potentials for (d,p) Reaction Calculations
- Charlotte Elster, Ohio University, Athens
Tuesday, November 5, 11:00 AM - Theory Seminar
NSCL Seminar Room
One important ingredient for many applications of nuclear physics are cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not feasible, indirect methods, e.g. (d,p) reactions, need be used. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques.
Faddeev equations in momentum space have a long tradition of utilizing separable interactions in order to arrive at sets of coupled integral equations in one variable. While there exist several separable representations for the nucleon-nucleon interaction, the optical potential between a neutron (proton) and a nucleus is not readily available in separable form.
In this talk a separable representation for complex phenomenological optical potentials of Woods-Saxon type will be introduced, and a separable representation thereof based on the Ernst-Thaler-Shakin (EST) scheme generalized to non-hermitian potentials will be given. Applications to n+12C, n+48Ca, n+132Sn and n+208Pb are investigated for energies from 0 to 50 MeV and the quality of the representation is examined. Finally an extention to p+A potentials will be discussed.