Revised analysis of $^{40}$Ca+$^{96}$Zr fusion reactions

TL;DR

This paper revisits the fusion reactions of $^{40}$Ca+$^{96}$Zr using coupled-channels calculations, revealing that scaling transfer couplings improves fit to experimental data, highlighting the importance of transfer effects.

Contribution

It demonstrates that scaling transfer couplings by a factor of √2 significantly improves the fit to fusion data, suggesting a combined effect of neutron and proton transfer.

Findings

Scaling transfer couplings by √2 yields excellent fit to fusion data.

Calculated transfer cross sections agree with measured values.

Transfer effects are crucial for accurate fusion modeling.

Abstract

Fusion data for $^{40}$Ca+$^{96}$Zr are analyzed by coupled-channels calculations that are based on a standard Woods-Saxon potential and include couplings to multiphonon excitations and transfer channels. The couplings to multiphonon excitations are the same as used in a previous work. The transfer couplings are calibrated to reproduce the measured neutron transfer data. This type of calculation gives a poor fit to the fusion data. However, by multiplying the transfer couplings with a $\sqrt{2}$ one obtains an excellent fit. The scaling of the transfer strengths is supposed to simulate the combined effect of neutron and proton transfer, and the calculated one- and two-nucleon transfer cross sections are indeed in reasonable agreement with the measured cross sections.