Abstract

This chapter presents a method of calculation of scattering parameters for separable potentials with Coulomb interaction. Separable potentials are widely used for solving the Faddeev equations of the three nucleon problem to extract information about the off-shell behavior of the nuclear interaction. It is well established that scattering parameters too depend on the interaction off-shell, if the Coulomb force is taken into account. Realistic potentials to be used in three nucleon calculations should simultaneously fit the experimental p–p parameters if the electrostatic force is included and n–n parameters if that force is not added. In simple expressions for the low energy scattering, parameters of charged particles interacting by separable potentials are derived. They are suitable also for potentials given in a numerical form as gained, for example, by solving the inverse scattering problem. The scattering length with Coulomb may then be expressed by another expression as described.

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