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Direct reaction description of sub- and above-barrier fusion of heavy ions

Physical Review C1985Vol. 32(1), pp. 124–135

Citations Over TimeTop 10% of 1985 papers

Abstract

A new approach to calculation of the fusion cross section ${\ensuremath{\sigma}}_{F}$, based on the direct reaction concept, is presented. The method is to define a fusion potential ${W}_{F}$ [with r\ensuremath{\le}${R}_{F}$=${r}_{F}$(${A}_{1}^{1/3}$+${A}_{2}^{1/}$ 3)] as a part of the imaginary potential of the usual optical model. The ${\ensuremath{\sigma}}_{F}$ is then obtained as that part, due to only ${W}_{F}$, of the total absorption cross section. It is seen that, if ${r}_{F}$ is chosen as 1.40--1.50 fm, the value of ${\ensuremath{\sigma}}_{F}$ computed as described fits the experimental ${\ensuremath{\sigma}}_{F}$ very well, in both sub- and above-barrier regions, and for a variety of fusing nuclear pairs ${A}_{1}$ and ${A}_{2}$. In most cases, it is sufficient to consider only the incident (elastic scattering) channel. In a few cases, in which some specific nuclear structure effects are involved, it is found necessary to perform coupled-channel calculations. Then absorption due to other channels is also taken into account explicitly. It is shown that adding these contributions is the key to getting good fits to data, under the above-mentioned special circumstances. A possible relation of what the present approach describes, particularly when it is used in the sub-barrier region, to (spontaneous) fission is also discussed.

Citations Over TimeTop 10% of 1985 papers

Abstract

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