The ${\mathrm{C}}^{13}$[${\mathrm{He}}^3$,${\mathrm{Be}}^8$(g.s.)]${\mathrm{Be}}^8$(g.s.) Reaction

The differential cross sections for the ${\mathrm{C}}^{13}$[${\mathrm{He}}^3$, ${\mathrm{Be}}^8$(g.s.)]${\mathrm{Be}}^8$(g.s.) reaction have been measured as a function of angle at bombarding energies of 3.30, 5.00, and 5.75 MeV, and as a function of the bombarding energy over the range extending from 2.50 to 5.00 MeV at a laboratory angle of 40°. The reaction exhibits a pronounced resonance at about 5.6 MeV corresponding to an excited state of ${\mathrm{O}}^{16}$ at an excitation energy of 16.75 MeV. The angular distribution on the resonance suggests an assignment of $J^{\pi }=2^{+}$. The total off-resonance cross section for the reaction is surprisingly large: 0.18 mb at 3.30 MeV and 0.37 mb at 5.00 MeV. The behavior of the off-resonance differential cross section suggests the possibility of direct reaction. The angular distributions at 3.30 and 5.00 MeV have been fitted with a distorted-wave Born-approximation calculation in which a five-nucleon system was assumed to be transferred from ${\mathrm{C}}^{13}$ to ${\mathrm{He}}^3$ as a point particle. The gross approximations which had to be employed in the calculation do not allow a meaningful spectroscopic factor to be extracted. The reaction, however, plays a significant part in the interaction of ${\mathrm{He}}^3$ with ${\mathrm{C}}^{13}$.