The Fusion-by-Diffusion model as a tool to calculate cross sections for the production of superheavy nuclei

Abstract

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.

arXiv commentsubmitted to EPJ A Topical Issue: Heavy and Super-Heavy Nuclei and Elements: Production and Properties

References in corpus (10)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Quantum Tunneling in Nuclear Fusion
• New Result in the Production and Decay of an Isotope, 278[113], of the 113th Element
• Predictions of the FBD model for the synthesis cross sections of Z = 114-120 elements based on macroscopic-microscopic fission barriers
• Properties of heaviest nuclei with $98\le Z\le 126$ and $134\le N\le 192$
• How to produce new superheavy nuclei?
• Level-density parameters in superheavy nuclei
• Calculations of the cross sections for synthesis of new {293-296}118 isotopes in {249-252}Cf(48Ca,xn) reactions
• The decline rate of the production cross-section of superheavy nuclei with $Z=114-117$ at high excitation energies
• Diffusion as a possible mechanism controlling the production of superheavy nuclei in cold fusion reactions