The triple alpha reaction rate and the 2${}^{+}$ resonances in ${}^{12}$C

Abstract

The triple alpha rate is obtained from the three-body bound and continuum states computed in a large box. The results from this genuine full three-body calculation are compared with standard reference rates obtained by two sequential two-body processes. The fairly good agreement relies on two different assumptions about the lowest $2^{+}$ resonance energy. With the same $2^{+}$ energy the rates from the full three-body calculation are smaller than those of the standard reference. We discuss the rate dependence on the experimentally unknown $2^{+}$ energy. Substantial deviations from previous results appear for temperatures above 3 GK.

arXiv commentTo be published in Physics Letters B

References in corpus (8)

• Nuclear Astrophysics
• Structure of low-lying 12C-resonances
• Complex scaling of the hyper-spheric coordinates and Faddeev equations
• Relative production rates of ${}^6$He, ${}^9$Be, ${}^{12}$C in astrophysical environments
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• A Microscopic Cluster Description of 12C
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• Capture reactions into borromean two-proton systems at rp-waiting points
• Combined few-body and mean-field model for nuclei
• Two-proton capture on the ${}^{68}$Se nucleus with a new self-consistent cluster model