Systematic extraction of the strong absorption distance and Coulomb barrier from elastic scattering* *This study is supported by the National Key R&D Program of China (2022YFA1602302), the National Natural Science Foundation of China (12235020, 12275360, 12175314, 12175313, U2167204), the Continuous Basic Scientific Research Project (WDJC-2019-13), the Leading Innovation Project (LC192209000701, LC202309000201), the project supported by the Director's Foundation of Department

Abstract

The reduced strong absorption distance and Coulomb barrier height are extracted from the quarter-point recipe from a series of experimental elastic scattering angle distributions. The nuclei with different binding energies are systematically studied as the projectile, including the tightly bound, weakly bound, and halo nuclei. It is found that the mean for halo nuclei is significantly larger than that of tightly and weakly bound nuclei. The complex behavior of regarding the binding energy and properties of the target is observed for halo nuclei. The linear relationship of the reduced distance with system size may be used to estimate the Coulomb barrier radius , which is difficult to obtain from fusion reactions. The rule of concerning the Coulomb parameter z is in agreement with other theoretical barrier laws extracted from the fusion reaction. Furthermore, the reason why the binding energy or deformation has little effect on the linear relationship of as a function of z is clarified.