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A possible mechanism to explain the origin of the light $p$-nuclei in theGalaxy is the nucleosynthesis in the proton-rich neutrino-driven wind ejecta ofcore-collapse supernovae via the $\nu p$-process. However this productionscenario is very sensitive to the underlying supernova dynamics and the nuclearphysics input. As far as the nuclear uncertainties are concerned, the breakoutfrom the $pp$-chains via the $^7$Be($\alpha,\gamma$)$^{11}$C reaction has beenidentified as an important link which can influence the nuclear flow andtherefore the efficiency of the $\nu p$-process. However its reaction rate ispoorly known over the relevant temperature range, T = 1.5-3 GK. We report onthe first direct measurement of two resonances of the$^7$Be($\alpha,\gamma$)$^{11}$C reaction with previously unknown strengthsusing an intense radioactive $^7$Be beam from the ISAC facility and the DRAGONrecoil separator in inverse kinematics. We have decreased the$^7$Be($\alpha,\gamma$)$^{11}$C reaction rate uncertainty to $\sim$ 9.4-10.7%over the relevant temperature region.

First inverse kinematics measurement of resonances in $^7$Be($\alpha,\gamma$)$^{11}$C relevant to neutrino-driven wind nucleosynthesis using DRAGON