Abstract
The 12C+12C fusion reaction is investigated using a folding potential in 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. As elastic data are available around the Coulomb barrier, this simultaneous treatment offers a good test for the reliability of the model. In the fusion cross section, the role of the inelastic channels and, in particular of the 12C(0+1)+12C(0+2) channel involving the Hoyle state, is discussed.
Highlights
The 12C+12C reaction plays an important role in stellar nucleosynthesis [1], and in particular in the evolution of massive stars [2]
A folding method is performed using the density-dependent M3Y (DDM3Y) interaction [7] to describe the nucleon-nucleon (NN) interaction, and 12C densities are taken from the RGM values of Kamimura [6]
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 reaction plays an important role in stellar nucleosynthesis [1], and in particular in the evolution of massive stars [2]. Most fusion calculations to date are performed in a single-channel model, i.e. involving the 12C 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.
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