We report the first measurement of monoenergetic muon neutrino charged current interactions. MiniBooNE has isolated 236 MeV muon neutrino events originating from charged kaon decay at rest ($K^+ rightarrow mu^+ u_mu$) at the NuMI beamline absorber. These signal $ u_mu$-carbon events are distinguished from primarily pion decay in flight $ u_mu$ and $overline{ u}_mu$ backgrounds produced at the target station and decay pipe using their arrival time and reconstructed muon energy. The significance of the signal observation is at the 3.9$sigma$ level. The muon kinetic energy, neutrino-nucleus energy transfer ($omega=E_ u-E_mu$), and total cross section for these events is extracted. This result is the first known-energy, weak-interaction-only probe of the nucleus to yield a measurement of $omega$ using neutrinos, a quantity thus far only accessible through electron scattering.
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