Abstract
Angular distributions of the cross section and the first complete set of analyzing powers for $^{12}\mathrm{C}$${(}^{6}$Li\ensuremath{\rightarrow},\ensuremath{\alpha}${)}^{14}$N have been measured over the range 4\ifmmode^\circ\else\textdegree\fi{}\ensuremath{\le}${\mathrm{\ensuremath{\theta}}}_{\mathrm{lab}}$\ensuremath{\le}29\ifmmode^\circ\else\textdegree\fi{} at a bombarding energy of 33 MeV. The $^{\mathit{T}}$${\mathit{T}}_{20}$ analyzing power data are shown to distinguish between natural and unnatural parity states in $^{14}\mathrm{N}$ as observed earlier in (d\ensuremath{\rightarrow},\ensuremath{\alpha}) reactions. General rules are presented for tensor analyzing powers for transfers to ${0}^{\ifmmode\pm\else\textpm\fi{}}$ and ${1}^{\ifmmode\pm\else\textpm\fi{}}$ states that are derived assuming only conservation of parity and total angular momentum. Finite-range deuteron cluster transfer DWBA calculations which allowed coherent multiple L transfers were carried out and compared with the data. The analyzing powers exhibited sensitivity to L mixing including the presence of D states in both $^{6}\mathrm{Li}$ and $^{14}\mathrm{N}$ but had limited success in describing the data.
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