We have determined the symmetry dependence of the central parr of the pheno
menological optical model potential for neutron-nucleus scattering from abo
ut 15 to 65 MeV. In contrast to the case for incident protons, we find evid
ence that the symmetry dependence of the surface imaginary potential is neg
ligible. When extended to higher energies, predictions of the model are in
good agreement with measured neutron total cross sections for spherical nuc
lei over a wide range of A and incident energy with no adjustment of parame
ters.