The Fermilab proton source is capable of providing 8 GeV protons for both the
future long-baseline neutrino program (NuMI), and for a new program of low
energy muon experiments. In particular, if the 8 GeV protons are rebunched and
then slowly extracted into an external beamline, the resulting proton beam
would be suitable for a muon-to-electron conversion experiment designed to
improve on the existing sensitivity by three orders of magnitude. We describe a
scheme for the required beam manipulations. The scheme uses the Accumulator for
momentum stacking, and the Debuncher for bunching and slow extraction. This
would permit simultaneous operation of the muon program with the future NuMI
program, delivering 10^20 protons per year at 8 GeV for the muon program at the
cost of a modest (~10%) reduction in the protons available to the neutrino
program.Comment: 18 pages, 7 figure
