Quasielastic processes in theSi28+Pb208reaction at 8 MeV per nucleon

Quasielastic yields have been measured for the ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$+${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ reaction at $E_{\mathrm{lab}}\left({}_{}{}^{28}{}_{}{}^{}\mathrm{Si}\right)=225\mathrm{}$ MeV. The inelastic scattering is dominated by excitation of the first $2^{+}$ level in ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$. The angular distribution for this state is found to contain insufficient information to determine accurately the quadrupole deformation parameter once the possibility of hexadecapole deformation is admitted. The ambiguity is resolved by requiring a simultaneous fit to the angular distribution of the first $4^{+}$ state in ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$. A large fraction of the total reaction cross section is found to be contained in quasielastic neutron transfer, and transfer of a single proton. It is shown that these large quasielastic yields are consistent with the expectations from distorted-wave Born approximation calculations.