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At temperatures below 0.1 GK the $^{19}$F$(p,\gamma)^{20}$Ne reaction is theonly breakout path out of the CNO cycle. Experimental studies of this reactionare challenging from a technical perspective due to copious $\gamma$-raybackground from the far stronger $^{19}$F$(p,\alpha)^{16}$O reaction channel.Here we present the first inverse kinematics study of the$^{19}$F$(p,\gamma)^{20}$Ne reaction, in which we measure the strength of the323-keV resonance. We find a strength value of $\omega\gamma =3.3^{+1.1}_{-0.9}$ meV, which is a factor of two larger than the most recentprevious study. The discrepancy is likely the result of a direct to groundstate transition which previous studies were not sensitive to. We also observethe transition to the first $2^{-}$ state, which has not been observed for thisresonance in previous studies. A new thermonuclear reaction rate is calculatedand compared with the literature.

New measurement of the $E_{\mathrm{c.m.}}=323$ keV resonance in the $^{19}$F$($p,\gamma$)$^{20}$Ne reaction