Spin Flip in the Inelastic Scattering of Protons

Abstract

Proton spin-flip probabilities and differential inelastic scattering cross sections were measured over a large angular region for the following ${2}^{+}$ excitations: 4.44 MeV in $^{12}\mathrm{C}$ at 12, 13, 14, 15, and 20 MeV; 1.45 MeV in $^{58}\mathrm{Ni}$ at 9.25, 10.46, 15, and 20 MeV; 1.33 MeV in $^{60}\mathrm{Ni}$ at 10.5 and 14 MeV; and 1.34 MeV in $^{64}\mathrm{Ni}$ at 10.5 and 14 MeV. The results were analyzed in the distorted-wave Born approximation, with collective-model form factors derived from the optical-model potential. The deformed spin-dependent part of the coupling potential was of the full Thomas form, and the data are best described when ${{\ensuremath{\beta}}_{2}}^{\mathrm{SO}}g{\ensuremath{\beta}}_{2}$. Good fits are obtained for elastic polarization data (obtained elsewhere) when the depth of the spin-orbit potential is determined from spin-flip probability measurements.