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.

Comments: To be published in Physics Letters B