  Although the pairing glue for the attractive quasiparticle interaction
responsible for unconventional superconductivity in heavy electron materials
has been identified as the spin fluctuations that arise from their proximity to
a magnetic quantum critical point, there has been no model to describe their
superconducting transition at Tc that is comparable to that found by Bardeen,
Cooper, and Schrieffer (BCS) for conventional superconductors where phonons
provide the pairing glue. Here we propose a phenomenological BCS-like
expression for Tc in heavy electron materials, that is based on the unusual
properties of the heavy electron normal state from which superconductivity
emerges, and a simple model for the effective range and strength of the
spin-fluctuation-induced quasiparticle interaction. We show that it provides
both a physical explanation and the first quantitative understanding of the
pressure-induced variation of Tc in the "hydrogen atoms" of unconventional
superconductivity, CeCoIn5 and CeRhIn5, and predicts scaling behavior and a
dome-like structure for Tc in all heavy electron quantum critical
superconductors.
