Application of dynamical eikonal approximation in elastic scattering reaction within 10-60 MeV/nucleon

We study the application of the dynamical eikonal approximation (DEA) to elastic scattering for Coulomb-dominated reactions at low energy. Our test case consists of elastic scattering for ⁸B, ⁹C, and ¹¹Be on ²⁰⁸Pb at 21.3, 25.2 and 12.7 MeV/nucleon, respectively. We introduce an empirical correction to the DEA method to account for Coulomb deflection, which significantly improves the description of elastic scattering of weakly-bound nuclei on a heavy target. The angular distributions of elastic scattering obtained using the empirical correction show good agreement with experimental data down to approximately 10 MeV/nucleon. Furthermore, we study the the effect of relativistic kinematics corrections on the angular distributions of elastic scattering at incident energies between 20 and 60 MeV/nucleon. The results show that relativistic kinematics corrections are crucial for describing the angular distributions of elastic scattering as low as approximately 40 MeV/nucleon.