FIZIKA B 5 (1996) 1, 29-38

THE ROLE OF THE JWKB TREATMENT IN THE SHARP CUT-OFF APPROXIMATION FOR HEAVY IONS COLLISIONS

SMAIL BOUGOUFFA, XUAN CHUAN CAO and PAUL FAUCHER
URA 1362 du CNRS, Observatoire de la Côte d'Azur, B.P. 229, 06304, Nice Cedex, France

Received 12 August 1995

We show how an adiabatic approximation to the usual coupled-channels formalism gives a simple way of calculation and understanding the heavy-ion fusion inelastic cross-section. We did the calculation for the ⁵⁸Ni + ⁵⁸Ni system by considering only one transition, the ground-state to ground-state transition. A very simple method to calculate the above-barrier inelastic cross-section has been proposed, which can be handled entirely within the framework of the direct-reaction theory. The essence of the method is the role of the JWKB treatment in the determination of the partial waves which contribute to the fusion. We apply the schematical model to the calculation of inelastic cross-section for the system ⁵⁸Ni + ⁵⁸Ni. Results of the model are extensively discussed.

UDC 539.171
PACS 24.10.Eq, 25.70.Jj

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