The ${}_{}{}^{31}{}_{}{}^{}\mathrm{P}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ reaction was investigated at 25 MeV incident energy. One-hundred and eleven levels up to an excitation energy of 12.5 MeV were observed using a split-pole magnetic spectrograph. The experimental angular distributions were analyzed with the distorted-wave Born approximation. The optical model parameters used in the distorted-wave Born-approximation calculations were obtained from a fit to elastic ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ scattering data taken on ${}_{}{}^{31}{}_{}{}^{}\mathrm{P}$ at 25 MeV. Gamow functions were used as form factors for the transferred proton in the case of unbound states. Values of the transferred orbital angular momenta $l$ and spectroscopic strengths were obtained for sixty levels, with many odd-parity levels being observed above 9 MeV excitation. Spin and parity assignments were made upon the basis of the $l$ values obtained from the shapes of the angular distributions and upon comparison with the results of other reactions. Isospin assignments were made by comparison with ${}_{}{}^{32}{}_{}{}^{}\mathrm{P}$ levels. Except for the $l_p=1\mathrm{}$, $T=0\mathrm{}$ transfers, most of the observed spectroscopic strength is concentrated into a few levels. The existence of a $T$-mixed doublet of levels, $J^{\pi }=1^{-}$, is suggested in the 11 MeV region of excitation. The excitation energies and spectroscopic strengths are compared with results of a recent shell-model calculation.

NUCLEAR REACTIONS ${}_{}{}^{31}{}_{}{}^{}\mathrm{P}({}_{}{}^3{}_{}{}^{}\mathrm{He},d)$, ${}_{}{}^{31}{}_{}{}^{}\mathrm{P}$(${}_{}{}^3{}_{}{}^{}\mathrm{He}$, ${}_{}{}^3{}_{}{}^{}\mathrm{He}$), $E=25\mathrm{}$ MeV; measured $\sigma (E_d,\theta )$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ deduced levels, $l$, $J$, $\pi$, $T$, spectroscopic strengths; measured $\sigma \left(\theta \right)$, deduced optical model parameters. DWBA analysis using Gamow functions as form factors.

• Received 27 December 1977

DOI:https://doi.org/10.1103/PhysRevC.17.1961