Dynamical calculations of the cross section for heavy-ion fusion with allowance for tunneling

The surface-friction model was proposed for describing reactions induced by deep-inelastic heavy-ion interactions. Its use in describing heavy-ion fusion was restricted to the case of energies above the fusion barrier. An attempt is made here to extend the use of the model to subbarrier energies via the inclusion of the tunneling effect. A method for taking into account the tunneling effect in dynamical calculations on the basis of Langevin's equations is proposed. It is shown that, at energies in the barrier region and at high angular momenta, this effect leads to an increase in the cross section for touching of ions.