In a conventional superconductor, the binding of electrons into the pa
ired states that collectively carry the supercurrent is mediated by ph
onons-vibrations of the crystal lattice. Here we argue that, in the ca
se of the heavy fermion superconductors CePd2Si2 and Celn(3), the char
ge carriers are bound together in pairs by magnetic spin-spin interact
ions. The existence of magnetically mediated superconductivity in thes
e compounds could help shed light on the question of whether magnetic
interactions are relevant for describing the superconducting and norma
l-state properties of other strongly correlated electron systems, perh
aps including the high-temperature copper oxide superconductors.