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We have performed the first direct measurement of two resonances of the$^7$Be($\alpha,\gamma$)$^{11}$C reaction with unknown strengths using anintense radioactive $^7$Be beam and the DRAGON recoil separator. We report onthe first measurement of the 1155 and 1110 keV resonance strengths of $1.73 \pm0.25(stat.) \pm 0.40(syst.)$ eV and $125 ^{+27}_{-25}(stat.) \pm 15(syst.)$meV, respectively. The present results have reduced the uncertainty in the$^7$Be($\alpha,\gamma$)$^{11}$C reaction rate to $\sim$ 9.4-10.7% over T =1.5-3 GK, which is relevant for nucleosynthesis in the neutrino-driven outflowsof core-collapse supernovae ($\nu p$-process). We find no effect of the new,constrained reaction rate on $\nu p$-process nucleosynthesis.

Direct measurement of resonances in $^7$Be($\alpha,\gamma$)$^{11}$C relevant to $\nu p$-process nucleosynthesis