To Extract The Fusion Barrier Height From The Fusion Excitation Functiony

Near-barrier heavy-ion fusion reaction is an important research aspect in the field of nuclear physics,After decades of development,an increasing understanding has been gained on fusion reactions.The experimental measurements of fusion excitation function are more and more accurate.Various theoretical potential models have been proposed to describe the nuclear interaction.However,fusion barrier heights predicted by theoretical models are different.In order to compare different theoretical models,the Coulomb barrier heights have been extracted from experimental fusion reaction data in this study.Several representative fusion reaction systems are selected,and the corresponding barrier heights are extracted and compared with the theoretical models.The theoretical model whose predictions of barrier heights are closest to experimental data is found in this study.After analyzing the experimental fusion excitation functions,representative fusion reaction systems,such as Ca+Ca,O+Sn,S+Zr,and S+Sn,are selected.The coupled channel model CCFULL with Woods-Saxon type nuclear potential are adopted to fit experimental fusion excitation functions.There are three free parameters in the nuclear potential to be adjusted to find the best fitting results with least?~2.Based on the fitting results,the penetration coefficient is obtained from the first derivative of the product of the fusion cross section and versus the energy.The position of the half maximum value of the penetration coefficient corresponds to the fusion barrier height.The near-barrier and sub-barrier fusion cross-sections of some reaction systems can be significantly enhanced by considering positive Q-value neutron transfer effects in the CCFULL model.The barrier heights are also extracted from experimental data by using the Wong formula,which can be used as references for other theoretical models.After comparison of the experimental fusion barrier heights extracted by adopt-ing CCFULL model and Wong formula with theoretical barrier height predicted by different theoretical models,it is found that Bass80 potential and WKJ equation are the best one whose predictions are closet to results of this work.Because the fusion barrier height cannot be directly measured in the experiment,a relatively accurate theoretical model can provide reference for the study of nuclear interaction,which is also helpful for the experimental study on the synthesis of new super-heavy nuclei.