Polarized-Proton Inelastic Scattering onS32and Possible Evidence for a Hexadecapole Phonon State

Differential cross sections and analyzing powers for inelastic scattering of 24.5-MeV protons from ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ have been measured, with special attention to the excitation of states which occur in the two-phonon region. The coupled-channel theory is used to interpret the excitation of the two-phonon states. An appreciably better fit to the data for the excitation of the second $2^{+}$ state is obtained if a small admixture of the one-phonon state is assumed. However, a strong component of a $4^{+}$ one-phonon state needs to be admixed to the $4^{+}$ two-phonon state.