The spin of the heavy lepton L discovered at SPEAR is discussed. Only if a neutral vector meson X with mass approximately equal to 3.1 GeV and appropriate couplings to electrons and heavy leptons exists, could its spin be 3/2. As a test of the existence of this vector meson a search for the reaction Open image in new window atW≳7.5 is proposed. A detailed study of the angular distribution of e+e− → L+L− at intermediate energies could also discriminate between spin 1/2 and 3/2. The decay angular distribution of L → πνL as a method of measuring both the heavy-lepton spin and the spin of the corresponding neutrino νL is discussed in a note.
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