Origin of the field-dependent losses in $\mathrm{Nb_3Sn}$ cavities
In plain words
Even before stopping, $\mathrm{Nb_3Sn}$ cavities lose more energy as the field grows. The source of this extra loss is unclear.
Precise statement
$\mathrm{Nb_3Sn}$ cavities at 4.2 K and 1.3 GHz show $Q_{0}$ decreasing with $B_{\mathrm{pk}}$ above $\sim 300\ \text{to}\ 500\,\mathrm{G}$. Determine whether this arises from grain-boundary Josephson weak links, vortex penetration at local defects, tin-poor phases, or nonlinear BCS response, with a model predicting $Q_{0}(B_{\mathrm{pk}}, T)$.
What would settle it
Measured $Q_{0}(B_{\mathrm{pk}})$ for cavities with controlled grain size and stoichiometry matched by a predictive model.
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