Abstract
The 12C+12C and 16O+16O fusion reactions are investigated in a folding model. We use a multichannel approach involving the 12C(0+1, 2+, 0+2, 3-) states. The 12C densities (including transition densities) are taken from the RGM calculation of Kamimura. For the nucleon-nucleon interaction, we use the DDM3Y density-dependent interaction. Owing to the explicit presence of inelastic channels, the imaginary part of the optical potential only contains a short-range fusion contribution. The S-factor is then virtually insensitive to the precise value, and the model is free of any fitting parameter. From the coupled-channel system, we determine the elastic and fusion cross sections simultaneously. For the 16O+16O fusion cross section, we show preliminary results obtained in a single-channel approximation, where the 16O densities is obtained from an α+12C cluster calculation.
Highlights
The 12C+12C and 16O+16O fusion reactions play an important role in stellar nucleosynthesis [1]and in the evolution of massive stars [2]
In Ref. [3], the authors suggest that mutual excitations play an important role even at low energies, where excited channels are closed. This effect may seem surprising since only a single channel is open. It is explained by distortion effects in the wave functions: the cross section is mostly sensitive to the inner part of the wave functions, where closed channels may have a significant amplitude
The present folding model was first applied to 12C+12C elastic scattering at energies around the Coulomb barrier, where experimental data are available [14]
Summary
The 12C+12C and 16O+16O fusion reactions play an important role in stellar nucleosynthesis [1]. Most fusion calculations to date are performed in a single-channel model, i.e. involving the ground-state only, while the absorption is simulated by a phenomenological imaginary potential [4]. [3], the authors suggest that mutual excitations play an important role even at low energies, where excited channels are closed. At first sight, this effect may seem surprising since only a single channel is open. An important aspect is that our calculation is free of parameter, except for a weak dependence on the absorption potential. It provides a simultaneous description of elastic scattering and of fusion.
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