Measurements of Lifetimes of States in $^{19}$Ne and the $^{15}$O($\alpha,\gamma)^{19}$Ne Reaction Rate

We have measured the lifetimes of several states in $^{19}$Ne above the $\alpha$ emission threshold important in the $^{15}$O($\alpha,\gamma)^{19}$Ne reaction. Combining these and other lifetime measurements with measurements of the $\alpha$ decay branching ratios of these states, we evaluate the rate of the $^{15}$O($\alpha,\gamma)^{19}$Ne reaction and discuss its role in Type-I X-ray bursts.