Research on α-decay for the superheavy nuclei with Z= 118–120 * *Partly supported by the National Natural Science Foundation of China (11935001,11575002), the Key Research Foundation of Education Ministry of Anhui Province (KJ2018A0028), and Anhui project (Z010118169)

Abstract

The generalized liquid-drop model (GLDM) with the microscopic shell correction from relativistic Hartree-Fock (RHF) calculations is used to explore the α-decay of superheavy nuclei. The known nuclei with are chosen as examples for testing. The calculated half-lives of α-decay agree with the experimental data better than those from the GLDM with the shell correction in the Weizs cker-Skyrme model. Moreover, the influence of the decay energy on α-decay is investigated. It is determined that the values obtained from the WS4 model with radial basis function (RBF) correction match the experimental data optimally. Owing to these advantages, the GLDM with the RHF shell correction and WS4+RBF values is adopted to predict the α-decay lifetime for the unknown superheavy nuclei with . The trend of the available α-decay half-lives according to the neutron number is similar to the trends of the values from the GLDM calculation without shell correction as well as the universal decay law (UDL) formula. Comparably, the RHF shell correction depresses (raises) the α-decay lifetime for most nuclei with ( ). In comparison with the half-lives of spontaneous fission, it can be concluded that the α-decay is dominant in the superheavy nuclei , , and . These results are beneficial to the exploration of superheavy nuclei in experiments.