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The relationship between the backward elastic scattering probabilities andreaction cross sections is derived. This is a a very simple and useful methodto extract reaction cross sections for heavy ion systems. We compare theresults of our method with those using the traditional full elastic scatteringangular distributions, for several systems, at energies near and above theCoulomb barrier. From the calculated reaction and capture cross sections usingthe present method, we derive the cross sections of other mechanisms for nearlyspherical systems.

Derivation of reaction cross sections from experimental elastic backscattering probabilities