Three-body resonances in tαμ and dαμ

Resonances in muonic systems tαμ and dαμ have been predicted for J=0 and 1 using the complex-rotation method. This method has the advantage that the resonance position and total width are calculated at the same time. These resonances are found to be below the n=4 threshold of αμ and are of Feshbach type. They decay to tμ+α and dμ+α, and therefore could be of importance in the reactivation of μ from αμ in the fusion of t and d in the presence of a muon (muon-catalyzed fusion). The channel (αμ${)}_{\mathit{n}=3\mathrm{}}$+t or d could be followed by multiple scattering, resulting in stripping of the muon. This process is highly density dependent.