Astrophysical factors of ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion from Trojan horse method

Abstract

Carbon-carbon burning plays an important role in many stellar environments. Recently, using the indirect Trojan horse method A. Tumino {\em et al.} reported [Nature {\bf 557} 687 (2018)] a strong rise of the astrophysical factor for the carbon-carbon fusion at low resonance energies. In this paper, we demonstrate that this rise is the artifact of using an invalid plane-wave approximation. It is shown that the calculated renormalization factor decreases the astrophysical factor from [A. Tumino {\em et al.}, Nature {\bf 557} 687 (2018)] at the resonance energies of $E=0.8-0.9$ MeV by as much as $\approx 10^3$ times.

arXiv comment11 pages, 10 figures

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• Surface-integral formalism of deuteron stripping
• Theory of surrogate nuclear and atomic reactions with three charged particles in the final state proceeding through a resonance in the intermediate subsystem

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