We report 195Pt-NMR and 75As-NQR measurements for the locally
non-centrosymmetric superconductor SrPtAs where the As-Pt layer breaks
inversion symmetry while globally the compound is centrosymmetric. The nuclear
spin lattice relaxation rate 1/T1 shows a well-defined coherence peak below
Tc and decreases exponentially at low temperatures. The spin susceptibility
measured by the Knight shift also decreases below Tc down to T<Tc/6.
These data together with the penetration depth obtained from the NMR spectra
can be consistently explained by assuming a spin-singlet superconducting state
with a full gap. Our results suggest that the spin-orbit coupling due to the
local inversion-breaking is not large enough to bring about an exotic
superconducting state, or the inter-layer hopping interaction is larger than
the spin-orbit coupling.Comment: 10 pages, 6 figures. Accepted in Phys. Rev. B (Rapid Commun.