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We analyse the origin of the unexpected deep sub-barrier heavy-ion fusionhindrance in 64Ni+100Mo and 28Si+64Ni recations. Our analysis is based on theimproved coupled-channels approach, implemented by means of the finite elementmethod. With the aid of the Woods-Saxon potential the experimental crosssections and the S-factors of these reactions are remarkably well reproduced.We found that the account on the non-diagonal matrix elements of the couplingmatrix, traditionally neglected in the conventional coupled-channels approachesin setting the left boundary conditions inside the potential pocket, and itsminimal value are crucially important for the interpretation experimental data.Within our approach we found a good agreement with the experimental data forthe S-factor of the fusion reaction 12C+12C, which has no a pronounced maximumfor this system.

Potential roots of the deep sub-barrier heavy-ion fusion hindrance phenomenon