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Background: Since 1919, when Rutherford measured the first nuclear reaction, and 1954, when Feshbach et al. Phys. Rev. 96, 448 (1954) proposed the optical model (OM), as the simplest mathematical approach for describing nuclear reactions, a general description for stable, tightly and weakly bound, and exotic nuclei reactions is still missing. The Feshbach OM presents two advantages: (i) it converts a complicated problem of many bodies (nucleons) into a problem of two bodies (nuclei) through an average potential of interaction, and (ii) it proposes a complex (real and imaginary) mathematical description for the so-called optical potential (OP). Purpose: We propose to study the OP (real and imaginary) strengths and their energy dependence, in reactions involving stable, tightly and weakly bound, and exotic nuclei projectiles on a ^64Zn target, at energies around the respective Coulomb barriers. We also propose to compare the current results to previous ones obtained for the same projectiles reacting on the heavier ^120Sn target. Method: We analyze experimental elastic scattering angular distributions of ^4, 6He, ^6, 7Li, ^9, 10, 11Be, and ^8B impinging on the same (^64Zn) target, at bombarding energies around the respective Coulomb barriers. Within the data set, we report on OM calculations and the determined OP, with the respective uncertainties quantification, based on the double-folding (DF) S\~ao Paulo potential (SPP). Results: Within the SPP approach, we compare the sensitivity of the OM theoretical predictions to different models assumed for the nuclear matter densities and to variations in the OP form factor and strengths. The best-fit parameters from OP study correlate with projectile breakup process, at scattering energies around the Coulomb barrier. Thus, we propose optimum energies for which the projectile breakup yield could be favored, as a function of the projectile breakup Q value and the Coulomb barrier of the system. The results are shown to be systematical, when analyzing different weakly bound nuclei projectiles impinging on targets with different masses (and atomic numbers). As a test of consistency, we apply the method to another specific case: ^7Li+^80Se. Conclusion: The results represent important advances toward a fundamental mathematical description mainly for weakly bound nuclei reactions. The capability of predicting optimum projectile breakup yields, as a function of energy, represents an important tool for planning new experiments on weakly bound nuclei reactions. The determined OP must be of value for application to further calculations on such nuclei reactions, at energies around the Coulomb barrier, besides studying the OP dependence with energy.
Garrido-Gómez et al. (Wed,) studied this question.