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The $^{22}$Ne($\alpha$,$\gamma$)$^{26}$Mg and $^{22}$Ne($\alpha$,n)$^{25}$Mgreactions play an important role in astrophysics because they have significantinfluence on the neutron flux during the weak branch of the s-process. Weconstrain the astrophysical rates for these reactions by measuring partial$\alpha$-widths of resonances in $^{26}$Mg located in the Gamow window for the$^{22}$Ne+$\alpha$ capture. These resonances were populated using$^{22}$Ne($^6$Li,d)$^{26}$Mg and $^{22}$Ne($^7$Li,t)$^{26}$Mg reactions atenergies near the Coulomb barrier. At these low energies $\alpha$-transferreactions favor population of low spin states and the extracted partial$\alpha$-widths for the observed resonances exhibit only minor dependence onthe model parameters. The astrophysical rates for both the$^{22}$Ne($\alpha$,$\gamma$)$^{26}$Mg and the $^{22}$Ne($\alpha$,n)$^{25}$Mgreactions are shown to be significantly different than the previously suggestedvalues.

physics letters b

Constraining the $^{22}$Ne($\alpha$,$\gamma$)$^{26}$Mg and  $^{22}$Ne($\alpha$,n)$^{25}$Mg reaction rates using sub-Coulomb  $\alpha$-transfer reactions