Separable potentials for the nucleon-nucleonS13−D13channel

Separable potentials of rank one to five for the nucleon-nucleon $^{3}S_{1}\ensuremath{-}^{3}D_{1}$ channel are constructed using a method introduced by Ernst, Shakin, and Thaler. The potentials all have the same deuteron wave function as the Reid soft-core potential. In addition the phase shifts of the rank-four and -five potentials are quite close to the experimental phase shifts. A survey of previously published separable potentials of rank greater than one is made and it is concluded that most of these potentials have unacceptably poor deuteron properties. A number of errors that were made in the fitting of these potentials to the data are pointed out. A simplification of the Reid soft-core potential for the $^{3}S_{1}\ensuremath{-}^{3}D_{1}$ channel is also presented. The simplified potential consists entirely of Yukawa terms but has experimental properties that generally differ from the original Reid soft-core properties by less than the present experimental error.[NUCLEAR REACTIONS Separable potentials fitted to Reid $^{3}S_{1}\ensuremath{-}^{3}D_{1}$ phase shifts, deuteron wave function. Previous $^{3}S_{1}\ensuremath{-}^{3}D_{1}$ separable potentials surveyed, errors pointed out. Compared to UPE constructions. Simplified (local) Reid tensor force presented.]