Calculation of the elastic scattering of pions from light nuclei at 450 MeV

A calculation is made of the elastic scattering of pions from ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ at an energy of 450 MeV. A single scattering optical potential is used with nuclear and nucleon form factors as determined elsewhere and the $\pi N$ scattering amplitude expressed in terms of phase parameters. It is found that several of the $N$ phase parameter sets can be readily distinguished by means of the $\pi$-nuclear scattering which they predict at this energy.