Microscopic study of the compound nucleus formation in cold-fusion reactions

TL;DR

This paper presents a comprehensive microscopic analysis of compound nucleus formation in cold-fusion reactions, integrating advanced theoretical models to better understand superheavy element synthesis.

Contribution

It combines time-dependent density functional theory, coupled-channels, and diffusion models to improve predictions of fusion probabilities and cross sections in cold-fusion reactions.

Findings

Capture barriers and cross sections match experimental data

Fusion probability calculations align with measurements above the barrier

Microscopic dynamics enhance predictive accuracy of fusion models

Abstract

The understanding of the fusion probability is of particular importance to reveal the mechanism of producing superheavy elements. We present a microscopic study of the compound nucleus formation by combining time-dependent density functional theory, coupled-channels approach, and dynamical diffusion models. The fusion probability and compound nucleus formation cross sections for cold-fusion reactions $^{48}$Ca+$^{208}$Pb, $^{50}$Ti+$^{208}$Pb, and $^{54}$Cr+$^{208}$Pb are investigated and it is found that the deduced capture barriers, capture cross sections for these reactions are consistent with experimental data. Above the capture barrier, our calculations reproduce the measured fusion probability reasonably well. Our studies demonstrate that the restrictions from the microscopic dynamic theory improve the predictive power of the coupled-channels and diffusion calculations.