Proton Scattering by Isobars and Single Isotopes

Abstract

Differential cross sections for proton inelastic scattering to the first excited (2+) states of ${\mathrm{Fe}}^{56}$, ${\mathrm{Fe}}^{58}$, ${\mathrm{Ni}}^{58}$, ${\mathrm{Ni}}^{64}$, and ${\mathrm{Zn}}^{64}$ are reported for bombarding energies near 10 MeV. Elastic- and inelastic-scattering angular distribution data were analyzed by a recently reported generalization of the optical model in which states of quadrupole collective motion strongly coupled to the nuclear ground state are considered. The results of this analysis show a dependence of the real nuclear potential depth on the nuclear symmetry parameter $\frac{\mathrm{}(N-Z)\mathrm{}}{A}$; the symmetry term for the real potential was found to be $\sim \left[\frac{23(N-Z)\mathrm{}}{A}\right]$ MeV.