Abstract
The sub-barrier fusion excitation functions are measured for the first time for the system ${}^{7}\mathrm{Li}+ {}^{28}\mathrm{Si}$ by the characteristic \ensuremath{\gamma}-ray method in the energy range ${E}_{\mathrm{lab}}=7\text{\ensuremath{-}}11.5$ MeV. The results show an enhancement, below the barrier, by about a factor of two when compared with the one-dimensional barrier penetration (1D BPM) model. Introduction of coupling with the rotational ${2}^{+}$ state (1.779 MeV) of the target improves the fit somewhat, but still an enhancement of about 25--40% remains.
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