Isobaric Analog Resonances in Proton Inelastic Scattering fromXe136

Thirty-six excited states of ${}_{}{}^{136}{}_{}{}^{}\mathrm{Xe}$ at excitation energies up to 6.3 MeV have been observed in proton inelastic-scattering excitation-function measurements at proton energies from 9.77 to 12.89 MeV. The $2^{+}$ first excited state at 1.30 MeV and the second excited state at 1.68 MeV resonate strongly at all of the lowest isobaric analog resonances, indicative of a collective nature for these states. Excitation functions for many of the remaining states exhibit resonant behavior characteristic of neutron-particle-neutron-hole excited states. Proton inelastic angular distributions have been measured at the lowest five analog resonances. Angular distributions for the particle-hole states at the first ($f_{\frac{7}{2}}$), second ($p_{\frac{3}{2}}$), and fourth ($f_{\frac{5}{2}}$) analog resonances have been fitted to determine the hole structure of the particle-hole configurations. Using the results of this analysis in conjunction with the resonant behavior of the corresponding inelastic excitation functions, it has been possible to determine particle-hole configurations and spin assignments for a number of excited states of ${}_{}{}^{135}{}_{}{}^{}\mathrm{Xe}$.