Hindrance in the fusion of ${}^{48}$Ca+${}^{48}$Ca

Abstract

The coupled-channels technique is applied to analyze recent fusion data for ${}^{48}$Ca+${}^{48}$Ca. The calculations include the excitations of the low-lying $2^{+}$, $3^{-}$ and $5^{-}$ states in projectile and target, and the influence of mutual excitations as well as the two-phonon quadrupole excitations is also investigated. The ion-ion potential is obtained by double-folding the nuclear densities of the reacting nuclei with the M3Y+repulsion effective interaction but a standard Woods-Saxon potential is also applied. The data exhibit a strong hindrance at low energy compared to calculations that are based on a standard Woods-Saxon potential but they can be reproduced quite well by applying the M3Y+repulsion potential with an adjusted radius of the nuclear density. The influence of the polarization of high-lying states on the extracted radius is discussed.

arXiv comment8 pages, 7 figures

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• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Dynamic microscopic study of pre-equilibrium giant resonance excitation and fusion in the reactions ${}^{132}$Sn+${}^{48}$Ca and ${}^{124}$Sn+${}^{40}$Ca
• Influence of multiphonon excitations and transfer on the fusion of Ca+Zr
• Nucleus-nucleus potential with shell-correction contribution and deep sub-barrier fusion of heavy nuclei
• Systematic study of the effect of individual rotational energy levels on the fusion cross-section of \texorpdfstring{${}^{16}O$}--based reactions of range $480\le Z_P{Z}_T\le 592$
• Microscopic DC-TDHF study of heavy-ion potentials and fusion cross sections
• Fusion using time-dependent density-constrained DFT