Can a $\mathrm{Nb_3Sn}$ cavity exceed the gradient of the best niobium cavities?
In plain words
The goal of $\mathrm{Nb_3Sn}$ is to go beyond niobium, but so far niobium still holds the gradient record. The question is whether any $\mathrm{Nb_3Sn}$ cavity can beat it.
Precise statement
Determine whether a $\mathrm{Nb_3Sn}$-coated 1.3 GHz elliptical cavity can sustain $E_{\mathrm{acc}}>0.45\,\mathrm{MV}/\mathrm{cm}$ ($B_{\mathrm{pk}}>1900\,\mathrm{G}$) at any temperature with $Q_{0}>10^{10}$, or whether intrinsic film properties (grain boundaries, thin-film thermal limits) forbid it.
What would settle it
A $\mathrm{Nb_3Sn}$ cavity test exceeding the Nb record gradient, or a demonstrated intrinsic bound below it.
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