Fusion reaction of a weakly bound nucleus with a deformed target

Abstract

We discuss the role of deformation of the target nucleus in the fusion reaction of the $^{15}\mathrm{C}+^{232}\mathrm{Th}$ system at energies around the Coulomb barrier, in which $^{15}\mathrm{C}$ is a well-known one-neutron halo nucleus. To this end, we construct the potential between $^{15}\mathrm{C}$ and $^{232}\mathrm{Th}$ with the double folding procedure, assuming that the projectile nucleus is composed of the core nucleus, $^{14}\mathrm{C}$, and a valence neutron. In addition, we also take into account the coupling to the one-neutron transfer process to the $^{14}\mathrm{C}+^{233}\mathrm{Th}$ configuration. We show that such calculation simultaneously reproduces the fusion cross sections for the $^{14}\mathrm{C}+^{232}\mathrm{Th}$ and the $^{15}\mathrm{C}+^{232}\mathrm{Th}$ systems, implying an important role of the transfer coupling in fusion of neutron-rich nuclei.