Energy dependence of inelastic proton scattering to one-particle one-hole states inSi28

Cross-section and analyzing-power measurements are presented for inelastic proton excitation of the $5^{-}$, $T=0\mathrm{}$ state at 9.70 MeV, the $6^{-}$, $T=0\mathrm{}$ state at 11.58 MeV, and the $6^{-}$, $T=1\mathrm{}$ state at 14.35 MeV in ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ for incident proton energies of 80, 100, 134, and 180 MeV. These results are analyzed using the distorted-wave impulse approximation, an energy-dependent optical potential derived from the elastic scattering, and several different free and density-dependent forms for the effective nucleon-nucleon interaction. The energy and momentum-transfer dependence of the cross section and analyzing power is examined in detail. The extraction of nuclear structure information from analyses of inelastic proton scattering is discussed.