Analyzing powers for the $^{12}C(^7\vec{Li}, t/d/p)$ reactions

The first, second, and third rank tensor analyzing powers $^TT_{10}$, $^TT_{20}$, $^TT_{30}$, and $T_{20}$, as well as cross section angular distributions for $^{12}C(^7\vec{Li}, t/d/p)$ at 34 MeV were measured. An earlier work\footnote{E.E.~Bartosz, {\it etal} Phys. Lett {\bf B 488} (2000) 138} showed that the ratio $\frac{3\,^TT_{30}}{^TT_{10}}$ for the elastic, inelastic, and single nucleon reactions could distinguish peripheral, in plane reaction processes, from other processes. The present work was undertaken to determine if the $(^7\vec{Li}, d/p)$ transfer reactions could be described as a direct process. High statistics were obtained because the analyzing powers $^TT_{30}$ are small. Large values for $^TT_{10}$ were found for the $(^7\vec{Li}, d/p)$ reaction indicating that they do not proceed primarily through the compound nucleus process. Results of FRDWBA calculations will be compared to experiment to determine spectroscopic amplitudes and the nature of the transfer reactions. Results indicate that all reactions are direct to some degree and there is evidence for the direct transfer of a $^{4,5}\mathrm{He}$ cluster, but not a $^6\mathrm{He}$ cluster.