Superconductivity-induced changes in the electronic Raman scattering response were observed for the RNi 2 B 2 C (R = Y, Lu) system in different scattering geometries. In the superconducting state, 2∆-like peaks were observed in A 1g , B 1g , and B 2g spectra from single crystals. The peaks in A 1g and B 2g symmetries are significantly sharper and stronger than the peak in B 1g symmetry. The temperature dependence of the frequencies of the 2∆-like peaks shows typical BCS-type behavior, but the apparent values of the 2∆ gap are strongly anisotropic for both systems. In addition, for both YNi 2 B 2 C and LuNi 2 B 2 C systems, there exists reproducible scattering strength below the 2∆ gap which is roughly linear to the frequency in B 1g and B 2g symmetries.This discovery of scattering below the gap in non-magnetic borocarbide superconductors, which are thought to be conventional BCS-type superconductors, 1 is a challenge for current understanding of superconductivity in this system.