Systematics of carbon- and oxygen-induced fusion on nuclei with12≤A≤19

Measurements of the total fusion cross sections for $^{12}\mathrm{C}$ + $^{12}\mathrm{C}$, $^{13}\mathrm{C}$, $^{14}\mathrm{N}$, $^{15}\mathrm{N}$, $^{16}\mathrm{O}$, $^{18}\mathrm{O}$, and $^{19}\mathrm{F}$ and $^{16}\mathrm{O}$ + $^{16}\mathrm{O}$ have been performed over the energy range from 1.5 to 3 times the Coulomb barrier energy. Fusion barrier parameters were extracted for each system. Three systems, $^{12}\mathrm{C}$ + $^{12}\mathrm{C}$, $^{12}\mathrm{C}$ + $^{16}\mathrm{O}$, and $^{16}\mathrm{O}$ + $^{16}\mathrm{O}$, show rather pronounced oscillatory structure in the energy dependence of the fusion cross sections. The maximum fusion cross sections for the systems studied vary by as much as 10-20%, depending on the particular entrance channel. The specific structure of the interacting nuclei clearly does have an effect; the fusion process is not entirely dominated by the macroscopic features of the ion-ion interaction.NUCLEAR REACTIONS, fusion, measured ${\ensuremath{\sigma}}_{\mathrm{fusion}}(E)$; $^{12}\mathrm{C}$ + $^{12}\mathrm{C}$, $7.4l~{E}_{\mathrm{c}.\mathrm{m}.}l~31.2$ MeV; $^{12}\mathrm{C}$ + $^{13}\mathrm{C}$, $7.6l~{E}_{\mathrm{c}.\mathrm{m}.}l~24.9$ MeV; $^{12}\mathrm{C}$ + $^{14}\mathrm{N}$, $15.1l~{E}_{\mathrm{c}.\mathrm{m}.}l~24.0$ MeV; $^{12}\mathrm{C}$ + $^{15}\mathrm{N}$, $8.9l~{E}_{\mathrm{c}.\mathrm{m}.}l~26.7$ MeV; $^{12}\mathrm{C}$ + $^{16}\mathrm{O}$, $12.9l~{E}_{\mathrm{c}.\mathrm{m}.}l~27.0$ MeV; $^{12}\mathrm{C}$ + $^{18}\mathrm{O}$, $11.9l~{E}_{\mathrm{c}.\mathrm{m}.}l~28.0$ MeV; $^{12}\mathrm{C}$ + $^{19}\mathrm{F}$, $11.6l~{E}_{\mathrm{c}.\mathrm{m}.}l~27.1$ MeV; $^{16}\mathrm{O}$ + $^{16}\mathrm{O}$, $14.9l~{E}_{\mathrm{c}.\mathrm{m}.}l~36.0$ MeV; deduced fusion barrier parameters.