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The fusion probability for the production of superheavy nuclei in cold fusionreactions was investigated and compared with recent experimental results for$^{48}$Ca, $^{50}$Ti, and $^{54}$Cr incident on a $^{208}$Pb target.Calculations were performed within the fusion-by-diffusion model (FbD) usingnew nuclear data tables by Jachimowicz et al. It is shown that the experimentaldata could be well explained within the framework of the FbD model. Thesaturation of the fusion probability at bombarding energies above theinteraction barrier is reproduced. It emerges naturally from the physicaleffect of the suppression of contributions of higher partial waves in fusionreactions and is related to the critical angular momentum. The role of thedifference in values of the rotational energies in the fusion saddle point andcontact (sticking) configuration of the projectile-target system is discussed.

Diffusion as a possible mechanism controlling the production of superheavy nuclei in cold fusion reactions