Coupled-channels calculations of ${}^{16}$O+${}^{16}$O fusion

Abstract

Fusion data for ${}^{16}$O+${}^{16}$O are analyzed by coupled-channels calculations. It is shown that the calculated cross sections are sensitive to the couplings to the $2^{+}$ and $3^{-}$ excitation channels even at low energies, where these channels are closed. The sensitivity to the ion-ion potential is investigated by applying a conventional Woods-Saxon potential and the M3Y+repulsion potential, consisting of the M3Y double-folding potential and a repulsive term that simulates the effect of the nuclear incompressibility. The best overall fit to the data is obtained with a M3Y+repulsion potential which produces a shallow potential in the entrance channel. The stepwise increase in measured fusion cross sections at high energies is also consistent with such a shallow potential. The steps are correlated with overcoming the barriers for the angular momenta $L$ = 12, 14, 16, and 18. To improve the fit to the low-energy data requires a shallower potential and this causes a even stronger hindrance of fusion at low energies. It is therefore difficult, based on the existing fusion data, to make an accurate extrapolation to energies that are of interest to astrophysics.

arXiv comment18 pages, 7 figures

References in corpus (6)

• Quantum Tunneling in Nuclear Fusion
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• Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
• Systematics of heavy-ion fusion hindrance at extreme sub-barrier energies
• Hindrance of ^{16}O+^{208}Pb fusion at extreme sub-barrier energies
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• Structures in high-energy fusion data
• Indications of a shallow potential in ${}^{48}$Ca+${}^{96}$Zr fusion reactions
• Stochastic Semi-Classical Description of Fusion at Near-Barrier Energies
• Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches
• Assessing the impact of valence sd neutrons and protons on fusion
• Fusion using time-dependent density-constrained DFT
• Comparative folding-model study of low-energy elastic scattering and fusion of the ${}^{12}$C+${}^{12}$C and ${}^{16}$O+${}^{16}$O systems