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The superconducting properties of LaFeAsO$_{1-x}$F$_{x}$ in conditions ofoptimal electron-doping are investigated upon the application of externalpressure up to $\sim 23$ kbar. Measurements of muon-spin spectroscopy and dcmagnetometry evidence a clear mutual independence between the criticaltemperature $T_{c}$ and the low-temperature saturation value for the ratio$n_{s}/m^{*}$ (superfluid density over effective band mass of Cooper pairs).Remarkably, a dramatic increase of $\sim 30$ % is reported for $n_{s}/m^{*}$ atthe maximum pressure value while $T_{c}$ is substantially unaffected in thewhole accessed experimental window. We argue and demonstrate that theexplanation for the observed results must take the effect of non-magneticimpurities on multi-band superconductivity into account. In particular, theunique possibility to modify the ratio between intra-band and inter-bandsscattering rates by acting on structural parameters while keeping the amount ofchemical disorder constant is a striking result of our proposed model.

Mutual independence of critical temperature and superfluid density under pressure in optimally electron-doped superconducting LaFeAsO$_{1-x}$F$_{x}$