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Alternative approach to the derivation of an expression for the cross section for resonant formation of dt micro in the muon-catalyzed fusion cycle.

A key process in the muon-catalyzed fusion cycle is a low-energy collision of {ital d}{mu} or {ital t}{mu} with a D{sub 2} molecule that leads, at appropriate incident energies, to the formation of a resonant complex containng {ital dd}{mu} or {ital dt}{mu}. In this paper, a detailed description is given of a formal calculation in which elements of Feshbach`s treatment of resonances and Chan and Fraser`s coupled-scattering-equations approach to positronium formation in {ital e}{sup +}H scattering in the region below the first target excitation threshold are used to obtain an expression for the cross section for resonant {ital dt}{mu} formation. The result is similar to the Breit-Wigner formula. The relationship of this expression to the expression used in some evaluations of this cross section is discussed.