Fusion cross sections forLi6,7+Mg24reactions at energies below and above the barrier

Abstract

Measurement of fusion cross sections for the $^{6,7}\mathrm{Li}$ $+$ $^{24}\mathrm{Mg}$ reactions by the characteristic $\ensuremath{\gamma}$-ray method has been done at energies from below to well above the respective Coulomb barriers. The fusion cross sections obtained from these $\ensuremath{\gamma}$-ray cross sections for the two systems are found to agree well with the total reaction cross sections at low energies. The relatively large difference between total cross sections and measured fusion cross sections at higher energies is consistent with the fact that other channels, in particular breakup, open up with an increase of bombarding energy. The breakup channel, however, appears not to have any influence on fusion cross sections. The critical angular momenta (${l}_{\mathrm{cr}}$) deduced from the fusion cross sections are found to have an energy dependence similar to other Li-induced reactions.