By using nuclear quadrupole resonance (NQR), nuclear spin-lattice relaxatio
n rate 1/T-1 of the heavy fermion superconductors (URu2Si2, UPd2Al3, CeRu2)
has been measured. The NQR measurement requires no external field, and is
especially suitable for Pd-105 and Ru-101, which have very small nuclear gy
romagnetic ratios and large electric quadrupole moments. In URu2Si2 and UPd
2Al3, the absence of the Hebel-Slichter coherence peak just below the super
conducting transition temperature T-C and the power law temperature depende
nce (T-3) in the superconducting state has shown appearance of anisotropic
non-s-wave superconductivity. On the contrary, an exponential temperature d
ependence of 1/T-1 was observed in CeRu2, indicating the superconductivity
to be conventional s-wave.