The levels of ${}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$ populated by the reactions ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$ at 24 MeV and ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$(${}_{}{}^7{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)-${}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$ at 34 MeV were studied using The Florida State University quadrupole spectrometer. Angular distributions were taken from 5° to 60° for ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$, and from 1° to 25° for the ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$(${}_{}{}^7{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$ reaction. Angular distributions show the expected $L$-dependent shapes which are well described by the distorted wave Born approximation. Relative spectroscopic factors are in excellent agreement with previous studies. The $J$-dependent shape of the (${}_{}{}^7{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$) angular distributions at forward angles is used to identify the 2.68 and 3.48 MeV levels as $p_{\frac{1}{2}}$, and the 4.07 and 4.43 MeV levels as $p_{\frac{3}{2}}$. Absolute spectroscopic factors for the two reactions are in very good agreement and are about 30% lower than the values of previous studies. Seventeen levels of ${}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$ above 6 MeV are observed in one or both reactions. Angular distributions for eight levels are extracted for the (${}_{}{}^3{}_{}{}^{}\mathrm{He},d$) reaction, including the three isobaric analog levels at 6.97, 7.54, and 8.03 MeV. Several of the levels above 6 MeV exhibit angular distributions which might be interpreted as being for either $l=3\mathrm{}$ or $l=4\mathrm{}$ transferred. These levels are identified as $g$-wave final states on the basis of their strength and excitation energy. The spectroscopic factors for the unbound levels are derived by a technique of extrapolation of cross sections from the bound state analysis. The spectroscopic factors extracted for the isobaric analog levels are consistent with ($d,p$) results to the parent states, within the limitations of the analysis.

NUCLEAR REACTIONS ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$, $E=24\mathrm{}$ MeV; ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$(${}_{}{}^7{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$, $E=34\mathrm{}$ MeV; measured $\sigma \left(\theta \right)$; DWBA analysis; ${}_{}{}^{53}{}_{}{}^{}\mathrm{Mn}$ levels; deduced $J^{\pi }$ and spectroscopic factors; enriched targets.

• Received 16 December 1974

DOI:https://doi.org/10.1103/PhysRevC.13.595