Examination and experimental constraints of the stellar reaction rate factor $N_A<\sigma v>$ of the ${}^{18}$Ne($\alpha$,$p$)${}^{21}$Na reaction at temperatures of X-Ray Bursts

Abstract

The ${}^{18}$Ne($\alpha$,$p$)${}^{21}$Na reaction is one key for the break-out from the hot CNO-cycles to the $rp$-process. Recent papers have provided reaction rate factors $N_A<\sigma v>$ which are discrepant by at least one order of magnitude. The compatibility of the latest experimental results is tested, and a partial explanation for the discrepant $N_A<\sigma v>$ is given. A new rate factor is derived from the combined analysis of all available data. The new rate factor is located slightly below the higher rate factor by Matic {\it et al.}\ at low temperatures and significantly below at higher temperatures whereas it is about a factor of five higher than the lower rate factor recently published by Salter {\it et al.}

Comments: 10 pages, 2 figures, accepted for publication in Phys. Rev. C