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The extent of nucleosynthesis in models of type I X-ray bursts and theassociated impact on the energy released in these explosive events aresensitive to nuclear masses and reaction rates around the $^{64}$Ge waitingpoint. Using the well known mass of $^{64}$Ge, the recently measured $^{65}$Asmass, and large-scale shell model calculations, we have determined newthermonuclear rates of the $^{64}$Ge($p$,$\gamma$)$^{65}$As and$^{65}$As($p$,$\gamma$)$^{66}$Se reactions with reliable uncertainties. The newreaction rates differ significantly from previously published rates. Using thenew data we analyze the impact of the new rates and the remaining nuclearphysics uncertainties on the $^{64}$Ge waiting point in a number ofrepresentative one-zone X-ray burst models. We find that in contrast toprevious work, when all relevant uncertainties are considered, a strong$^{64}$Ge $rp$-process waiting point cannot be ruled out. The nuclear physicsuncertainties strongly affect X-ray burst model predictions of the synthesis of$^{64}$Zn, the synthesis of nuclei beyond $A=64$, energy generation, and burstlight curve. We also identify key nuclear uncertainties that need to beaddressed to determine the role of the $^{64}$Ge waiting point in X-ray bursts.These include the remaining uncertainty in the $^{65}$As mass, the uncertaintyof the $^{66}$Se mass, and the remaining uncertainty in the$^{65}$As($p$,$\gamma$)$^{66}$Se reaction rate, which mainly originates fromuncertain resonance energies.

Reaction rates of $^{64}$Ge($p,\gamma$)$^{65}$As and $^{65}$As($p,\gamma$)$^{66}$Se and the extent of nucleosynthesis in type I X-ray bursts