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.}

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

References in corpus (4)

• Astrophysical Reaction Rates From Statistical Model Calculations
• X-ray binaries
• The ${}^{15}$N($\mathbf{\alpha }$,$\mathbf{\gamma }$)${}^{19}$F reaction and nucleosynthesis of ${}^{19}$F
• Measurement of the 18Ne(a,p_0)21Na reaction cross section in the burning energy region for X-ray bursts

Cited by in corpus (6)

• Cross sections of $\alpha$-induced reactions for targets with masses $A\approx 20-50$ at low energies
• The 18Ne(a,p)21Na breakout reaction in x-ray bursts: experimental determination of spin-parities for alpha resonances in 22Mg via resonant elastic scattering of 21Na+p
• Investigation of thermonuclear ${}^{18}$Ne($\alpha$,$p$)${}^{21}$Na rate via resonant elastic scattering of ${}^{21}$Na+$p$
• Thermonuclear reaction rate of ${}^{18}$Ne($\alpha$,$p$)${}^{21}$Na from Monte-Carlo calculations
• First direct measurement of the ${}^{11}$C($\alpha$, p)${}^{14}$N stellar reaction by an extended thick-target method
• Measurement of the ${}^{18}$Ne($\alpha ,p$)${}^{21}$Na reaction with ANASEN at $E_{c.m.}=$ 2.5-4 MeV