Muon Spin Relaxation Measurements in Na_xCoO₂*yH₂O

Using the transverse field muon spin relaxation technique we measure the temperature dependence of the magnetic field penetration depth $\lambda$, in the Na$_{x}$CoO$_{2}\cdot y$H$_{2}$O system. We find that $\lambda,$ which is determined by superfluid density $n_{s}$ and the effective mass $m^{\ast}$, is very small and on the edge of the TF-$\mu$SR sensitivity. Nevertheless, the results indicate that the order parameter in this system has nodes and that it obeys the Uemura relation. By comparing $\lambda$ with the normal state electron density we conclude that $m^{\ast}$ of the superconductivity carrier is 70 times larger than the mass of bare electrons.