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Microwave penetration depth and surface resistance at 27 GHz are measured in high quality crystals of KOsO. Firm evidence for fully-gapped superconductivity is provided from . Below the second transition at K, the superfluid density shows a step-like change with a suppression of effective critical temperature . Concurrently, the extracted quasiparticle scattering time shows a steep enhancement, indicating a strong coupling between the anomalous rattling motion of K ions and quasiparticles. The results imply that the rattling phonons help to enhance superconductivity, and that K sites freeze to an ordered state with long quasiparticle mean free path below .

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