  A broken lepton family symmetry can lead to muon decay to a Familon \[\mu \to
{\chi _{Familon}} + e .\] We propose to search for two body muon decay to a
Familon in the mass range from 86 to 105 MeV/c$^2$, by observing stopped
positive muons. This mass region is the search window blind spot of magnetic
spectrometers. The search signal will be a mono-energetic positron peak on top
of the standard model muon Michel decay spectrum. The decay positron spectrum
will be measured in HPGe detectors surrounded by large volume NaI detectors and
a charged particle tracking system used to help reduce false triggers. This
short-term experiment requires a stopped positive muon rate of 200 cps with a
trigger to stopped muon ratio of 10:1 or better. At this rate, in a period of
2-hours previous limits will be matched. With 1-year of data collection muon
branching ratio limits will range between 10$^{-6}$ to 10$^{-7}$. This
experiment takes advantage of Fermilab's higher energy muons to greatly
suppress backgrounds for Familon masses near the muon mass compared to lower
energy muon factories.
