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Iron-based superconductors display a large degree of variability inelectronic structure at the Fermi surface, resulting in superconducting gapstructures,$T_c$'s, and other properties that vary considerably from family tofamily. Recently it was noted that across many different families of Fe-basedsystems, the ratio $\Delta_{max}/T_c$ is found to be quasi-universal with alarge value of ~3.5 compared to the the one-band BCS weak-coupling result of1.76. Here $\Delta_{max}$ is the measured maximum gap across the Fermi surface.This remarkable fact was attributed to strong-coupling effects arising fromHund's metal physics. Here we perform a "high-throughput" scan across bandmasses, Fermi energies, and interaction parameters in a weak-couplingSuhl-Matthias-Walker model. We find that unexpectedly large values of$\Delta_{max}/T_c$ can be achieved within weak coupling, and thatquasiuniversal behavior similar to experiment emerges for those systems whereinterband interactions dominate intraband ones. However, within the currentframework, a large mass contrast between bands is required.

"Universal" $\Delta_{max}/T_c$ in Fe Based Superconductors