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The breakout reaction $^{15}$O($\alpha,\gamma$)$^{19}$Ne, which regulates theflow between the hot CNO cycle and the rp-process, is critical for theexplanation of the burst amplitude and periodicity of X-ray bursters. We reporton the first successful measurement of the critical $\alpha$-decay branchingratios of relevant states in $^{19}$Ne populated via$^{19}$F($^3$He,t)$^{19}$Ne. Based on the experimental results and our previouslifetime measurements of these states, we derive the first experimental rate of$^{15}$O($\alpha,\gamma$)$^{19}$Ne. The impact of our experimental results onthe burst pattern and periodicity for a range of accretion rates is analyzed.

The $^{15}$O($\alpha$,$\gamma$)$^{19}$Ne Breakout Reaction and Impact on X-Ray Bursts