R-MATRIX METHODS FOR STUDYING NUCLEAR EFFECTS IN MU-CF

Properties of R-matrix theory that are useful for studying muon-cataly zed fusion reactions are reviewed, and applications to the dtmu system are discussed, using both ''improved adiabatic'' and non-adiabatic (v ariational) wave functions. We give complex eigenvalues and alpha-mu s ticking fractions for the (L, upsilon) = (0, 0) and (0, 1) states of d tmu using variational Hamiltonian matrix elements that have been prope rly symmetrized by means of the Block operator. Expressions for the fu sion rate and alpha-mu sticking fraction are developed from a time-dep endent theory that uses the complex-energy states corresponding to the poles of the system S-matrix. These are shown to reduce with the appr opriate approximations to the expressions and values commonly used. Ad ditional nuclear effects on these quantities can easily be studied wit hin the framework developed, but they are not expected to be large.