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.

8 pages, 7 figures

References in corpus (5)

• Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
• Systematics of threshold incident energy for deep sub-barrier fusion hindrance
• Hindrance of ^{16}O+^{208}Pb fusion at extreme sub-barrier energies
• Indications of a shallow potential in ${}^{48}$Ca+${}^{96}$Zr fusion reactions
• Coupled-channels calculations of ${}^{16}$O+${}^{16}$O fusion

Cited by in corpus (5)

• Microscopic study of Ca$+$Ca fusion
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$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 $480\le Z_P{Z}_T\le 592$