This study provides an improved understanding of the penetration probabilities (PPs) in nuclear reactions of light nuclei by correcting the assumptions used in the conventional Gamow factor. The Gamow factor effectively describes the PP in nuclear reactions based on two assumptions: low particle energy than the Coulomb barrier and neglecting the dependence of nuclear interaction potential. However, we find that the assumptions are not valid for light nuclei. As a result of a calculation that excludes the assumptions, we obtain the PP that depends on the nuclear interaction potential depth for the light nuclei. For the potential depth fitted by the experimental fusion crosssection, we present that PPs of light nuclei (D+D, D+T, D+ 3 He, p+D, p+ 6 Li, and p+ 7 Li) become higher than the conventional one near the Coulomb barrier. We also discuss the implications of the modified PP, such as changes in the Gamow peak energy, which determine the measurement of energy range of the nuclear cross-section in experiments, and the electron screening effect.
We discuss angular distributions of elastic, inelastic, and breakup cross sections for 11 Be + 197 Au system, which were measured at energies below and around Coulomb barrier. To this end, we employ Coulomb dipole excitation (CDE) and long-range nuclear (LRN) potential to take into account long range effects by halo nuclear system and break up effects by weakly-bound structure. We then analyze recent experimental data including 3-channels i.e. elastic, inelastic, and breakup cross sections, at E c.m. =29.6 MeV and E c.m. =37.1 MeV. From the extracted parameter sets using χ 2 analysis, we successfully reproduce the experimental angular distributions of the elastic, inelastic, and breakup cross sections for 11 Be+ 197 Au system simultaneously. Also we discuss the necessity of LRN potential around Coulomb barrier from analyzed experimental data. *
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.