  Within the framework of the dinuclear system model, this study delves into
the impact of various nuclear mass models on evaluating the fusion probability
of superheavy nuclei. Nuclear mass models, as crucial inputs to the DNS model,
exhibit slight variations in binding energy, quadrupole deformation, and
extrapolation ability; these subtle differences can significantly influence the
model's outcomes. Specifically, the study finds that nuclear mass plays a
pivotal role in determining fusion probability, and Q-value. By numerically
solving a set of master equations, the study examines how binding energies from
different mass models affect the fusion probability of colliding nuclei, taking
the example of $^{48}$Ca + $^{243}$Am $\rightarrow$ $^{291}$Mc. A careful
analysis of the potential energy surface (PES) reveals that the inner fusion
barriers lead to variations in fusion probabilities. Importantly, the study
demonstrates that the synthesis cross sections of superheavy nuclei calculated
using different nuclear mass models align well with experimental data, falling
within an error range of one order of magnitude. This finding underscores the
reliability of our model predictions. Looking ahead, the study utilizes five
distinct nuclear mass models to predict the synthesis cross sections of
superheavy elements 119 and 120, along with their associated uncertainties.
These predictions offer valuable insights into the feasibility of synthesizing
these elusive elements and pave the way for future experimental explorations.
