Construction of an equivalent energy-dependent potential by a Taylor series expansion

摘要

To construct a phase-equivalent energy-dependent local potential corresponding to a sum of local and nonlocal interactions, we use a simple method for expanding the wave function in a Taylor series up to the third order. We apply the constructed potentials to calculate the scattering phase shifts using the phase equation. The results for scattering in nucleon-nucleon, alpha-nucleon, and alpha-alpha systems agree reasonably well with the standard data.