The recovery of the muon polarization in a longitudinal magnetic field has been used to obtain the muon hfcs of organic radicals. In pure benzene there is a single step in the repolarization curve while two distinct steps are observed in the in the repolarization curve when the radical precursor is dilute, such as for 1 M acetone in water. We propose that the differences in the repolarization curves are due to the lifetime of the Mu precursor and that the two-step repolarization curve is only observed when the lifetime of Mu is on the order of the inverse of the hyperfine frequency of Mu. We will test our hypothesis by obtaining repolarization curves for a series of benzene / cyclohexane solutions, which will allow us to change the lifetime of the Mu precursor systematically. We will observe how the amplitude of each component in the repolarization curve changes with Mu lifetime.