Total cross sections for the ${}_{}{}^{19}{}_{}{}^{}\mathrm{F}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{20}{}_{}{}^{}\mathrm{F}$ and ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{24}{}_{}{}^{}\mathrm{Na}$ reactions

Total cross sections for the (${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$) reaction on ${}_{}{}^{19}{}_{}{}^{}\mathrm{F}$ at laboratory energies of 9.0 to 25.0 MeV and on ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$ at energies of 10.5 to 19.5 MeV were measured by detecting the $\gamma$ rays from excited states and from the decay of the radioactive ground states. At energies well below the Coulomb barrier the cross sections are compared with a semiclassical distorted wave Born approximation calculation, and spectroscopic factors are extracted.

NUCLEAR REACTIONS ${}_{}{}^{19}{}_{}{}^{}\mathrm{F}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$), $E=9\mathrm{}-25$ MeV; ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$), $E=10.5\mathrm{}-19.5$ MeV; measured $\gamma$ yields. ${}_{}{}^{20}{}_{}{}^{}\mathrm{F}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Na}$ levels deduced $\sigma \mathrm{}\left(E\right)\mathrm{}$, $S$. Coulomb DWBA analysis.