Disentangling the role of vibration, rotation, and neutron transfer in the fusion of neutron-rich mid-mass nuclei

We report the first measurement of the fusion excitation functions for $^{39,47}$K + $^{28}$Si at near-barrier energies. Evaporation residues resulting from the fusion process were identified by direct measurement of their energy and time-of-flight with high geometric efficiency. At the lowest incident energy, the cross-section measured for the neutron-rich $^{47}$K induced reaction is ~6 times larger than that of the $beta$-stable system. The experimental data are compared with both a dynamical deformation model and coupled channels calculations (CCFULL).