Low-lying states of ${}_{}{}^{136}{}_{}{}^{}\mathrm{Xe}$ with excitation energies up to 3.3 MeV are investigated via inelastic scattering of 13.982-MeV protons. Spin, parity, and deformation parameters are extracted for 13 excited states through distorted-wave Born-approximation (DWBA) analysis using a collective-model form factor. The results obtained indicate that ${}_{}{}^{136}{}_{}{}^{}\mathrm{Xe}$ is not a typical vibrational nucleus. A microscopic calculation for the level spectrum and the inelastic form factor, based on the quasiparticle random-phase approximation, is performed. DWBA angular distributions are calculated using a microscopic form factor. The level spectrum and the absolute magnitudes of the cross sections for most of the $4^{+}$, $6^{+}$, and $3^{-}$ observed states are reasonably well reproduced through these calculations. For the $2^{+}$ states, however, the predicted level density and the distribution of the inelastic strengths disagree with the observed data. In addition, three deuteron groups leading to states of ${}_{}{}^{135}{}_{}{}^{}\mathrm{Xe}$ are observed. The orbital-angular-momentum-transfer values and the spectroscopic factors for these states are obtained through DWBA analysis of the data.

• Received 9 August 1972

DOI:https://doi.org/10.1103/PhysRevC.6.2201