Effect of breakup reactions on the fusion of a halo nucleus.

Abstract

We discuss the effect of breakup on heavy-ion fusion reactions induced by a halo nucleus $^{11}\mathrm{Li}$ based on a semiclassical method. Our formula leads to a smaller effect of breakup than that calculated in a recent paper using unitarity. We show that although the large enhancement of the fusion cross section is moderated by the breakup, the halo nucleus $^{11}\mathrm{Li}$ still leads to a larger fusion cross section than the other Li isotopes. This trend is especially significant at low energies, but occurs also at energies near the Coulomb barrier where experimental study is feasible.