  This article summarizes recent progress in our understanding of the reaction
mechanisms leading to the formation of superheavy nuclei in cold and hot fusion
reactions. Calculations are done within the Fusion-by-Diffusion (FBD) model
using the new nuclear data tables by Jachimowicz et al. [At. Data Nucl. Data
Tables 138, 101393 (2021)]. The synthesis reaction is treated in a standard way
as a three-step process (i.e., capture, fusion, and survival). Each reaction
step is analyzed separately. Model calculations are compared with selected
experimental data on capture, fissionlike and fusion cross sections, fusion
probabilities, and evaporation residue excitation functions. The role of the
angular momentum in the fusion step is discussed in detail. A set of fusion
excitation functions with corresponding fusion probabilities is provided for
cold and hot synthesis reactions.

Nuclear Theory