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This paper reports on a search for nu-bar/sub e/ from ..mu../sup +/ ..-->.. e/sup +/nu-bar/sub e/..nu../sub ..mu../, allowed by multiplicative but not additive muon conservation, and for ..nu../sub e/ from ..mu../sup +/ ..-->.. e/sup +/..nu../sub e/nu-bar/sub ..mu../, allowed by both. Neutrinos from the Clinton P. Anderson Meson Physics Facility have been used, together with a six-ton Cherenkov counter filled with H/sub 2/O (D/sub 2/O) to look for ..nu../sub p/p ..-->.. ne/sup +/(..nu../sub e/d ..-->.. ppe/sup -/). The branching ratio (..mu../sup +/ ..-->.. e/sup +/..nu../sub e/..nu../sub ..mu../)/..mu../sup +/ ..-->.. all) =-0.001 +- 0.040 is in excellent agreement with the additive law. The cross section .. ppe/sup -/) >= (0.52 +- 0.18) x 10/sup -4/ cm/sup 2/ agrees with theory.

Neutrino Experiment to Test the Nature of Muon-Number Conservation