Abstract:
Within the framework of the Dinuclear System model (DNS), this study delves into the impact of different nuclear mass models on the calculation of the survival probabilities of superheavy nuclei and further examines how this affects the DNS's prediction of the synthesis cross-sections for superheavy elements. Nuclear mass tables output by various atomic nucleus mass models exhibit significant differences, particularly in the realm of unknown nuclei. As a core input in DNS, the minute differences in binding energy, quadrupole deformation, and extrapolation capabilities of atomic nucleus masses can directly influence the outcomes of DNS calculations. Additionally, we discover that atomic nucleus masses are a key determinant in the numerical calculations of fusion and survival probabilities. Specifically, the particle separation energies provided by different nuclear mass tables have a direct impact on the decay probabilities of superheavy nuclei through the emission of neutrons, protons, and alpha particles. A detailed analysis of the survival probability of the superheavy nucleus
291Mc reveals that as the number of evaporated neutrons increases, the differences in survival probabilities calculated by various nuclear mass tables also accumulate progressively. It is noteworthy that the results of superheavy nucleus synthesis cross-section calculations using different nuclear mass tables are within one order of magnitude of experimental data, further validating the accuracy of DNS predictions. Finally, the impact of five nuclear mass tables on the prediction of synthesis cross-sections for superheavy elements with atomic numbers 119 and 120 is discussed, with an error range within one order of magnitude.