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In the analysis of elastic-scattering experimental data, optical-modelparameters (usually, depths of real and imaginary potentials) are fitted andconclusions are drawn analyzing their variations at bombardment energies closeto the Coulomb barrier (threshold anomaly). The judgement about the shape ofthis variation (related to the physical processes producing this anomaly)depends on these fitted values but the robustness of the conclusions stronglydepends on the uncertainties with which these parameters are derived. We willshow that previous published studies have not used a common criterium for theevaluation of the parameter uncertainties. In this work, a study of theseuncertainties is presented, using conventional statistic tools as well asbootstrapping techniques. As case studies, these procedures are applied tore-analyze detailed elastic-scattering data for the $^{12}$C + $^{208}$Pb andthe $^6$Li + $^{80}$Se systems.

Uncertainties of optical-model parameters for the study of the threshold anomaly