We have measured the Raman spectra of polycrystalline MgB2 from 25 to 1200
cm(-1). A superconductivity-induced redistribution in the electronic Raman
continuum was observed. Two pair-breaking peaks appear in the spectra, sugg
esting the presence of two superconducting gaps. The measured spectra were
analyzed using a quasi-two-dimensional model in which two s-wave supercondu
cting gaps open on two sheets of Fermi surface. For the gap values we have
obtained Delta (1) = 22 cm(-1) (2.7 meV) and Delta (2) = 50 cm(-1) (6.2 meV
). Our results suggest that a conventional phonon-mediated pairing mechanis
m occurs in the planar boron sigma bands and is responsible for the superco
nductivity of MgB2.