We introduce a novel coupling potential for the scattering of deformed light heavy-ion reactions. This new approach is based on replacing the usual first derivative coupling potential by a new, second derivative coupling potential in the coupled-channels formalism. This new approach has been successfully applied to the study of the ~(12)C + ~(12)C, ~(12)C + ~(24)Mg, ~(16)O + ~(28)Si, and ~(16)O + ~(24)Mg systems and made major improvements over all the previous coupled-channels calculations for these systems. This paper also shows the limitations of the standard coupled-channels calculations for these systems. This paper also shows the limitations of the standard coupled-channels theory and presents a global solution to the problems faced in the previous theoretical accounts of these reactions.
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