Analysis ofC12+dReactions

The ${\mathrm{C}}^{12}(d, d){\mathrm{C}}^{12}$ scattering is analyzed at two levels in ${\mathrm{N}}^{14}$, one at 12.42-Mev excitation and the other at 12.60 Mev. The lower level is assigned as $4^{-}$ and the upper as $3^{+}$. A nuclear radius is assumed and reduced widths are obtained for the two levels. With the aid of the reactions ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13}$ and ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13*}$ (3.09-Mev level), partial level widths for the three modes of decay of ${\mathrm{N}}^{14*}$ are obtained. Both ($d, p$) reactions are shown to be consistent with the presence of stripping amplitudes and resonant compound nuclear amplitudes and also consistent with the ${\mathrm{B}}^{10}$+$\alpha$ data of Shire et al. for the same excitation region in ${\mathrm{N}}^{14}$. The ($d, p$) angular distributions are analyzed to obtain the reduced neutron widths of the ground and first excited states of ${\mathrm{C}}^{13}$.