Elastic scattering of Lithium induced nuclear reactions

Abstract

A total of 347 experimentally accessible lithium-induced fusion reactions at various energies were analyzed. The study utilized real nuclear potential and volume imaginary potential within the optical model framework, with elastic cross-sections calculated using the FRESCO code. The value derived from the optical model agrees well with existing results at various scattering angles. The study refines existing empirical relations for elastic scattering by improving predictive accuracy and expanding their applicability to under explored reaction channels. Compared to previous models, our relations achieve better alignment with experimental data for lithium-induced reactions, particularly at higher energies. The standard deviation derived from the empirical relationship with that of experimental data is observed to be smaller. Elastic scattering cross-sections of ${}^{6,7}$Li-induced fusion reactions are function of the Coulomb-interaction parameter and center of mass energy. As a result, the current methodology may be used to forecast elastic scattering cross-sections of ${}^{6,7}$Li-induced fusion reactions in unknown isotopes of targets ranging from Li to Bi.