THEORY OF MUON SPIN RELAXATION OF GASEOUS C(2)H(4)MU

A theoretical study of the muon spin relaxation of the gaseous muonate d ethyl radical C(2)H(4)Mu is expanded in this paper to include both l ongitudinal and transverse signals. This study is based upon an operat or expansion of the spin-density operator for the radical with its tim e dependence described by the linearized quantum Boltzmann equation. R elaxation is due to collisions which reorient the radical's rotational angular momentum while effects on the muon's spin are due to coupling s between the muon's spin, the radical's free-electron spin, and the r adical's rotational angular momentum. The coefficients of the radical' s spin Hamiltonian and the collisional lifetimes (cross sections) are used as fitting parameters to describe the transverse signals. A fit t o the transverse data by itself and a global fit to both the transvers e and longitudinal data are obtained with good accuracy.