Eag. Armour, FORMAL DERIVATION OF AN EXPRESSION FOR THE CROSS-SECTION FOR RESONANTFORMATION OF DT-MU IN THE MUON-CATALYZED FUSION CYCLE, Journal of physics. B, Atomic molecular and optical physics, 27(23), 1994, pp. 120000763-120000770
A key process in the muon catalysed fusion cycle is a low energy colli
sion of tmu with a D2 molecule which leads, at appropriate incident en
ergies, to the formation of a resonant complex containing ddmu or dtmu
. In this letter, an outline is given of a formal derivation in which
elements of Feshbach's treatment of resonances and Chan and Fraser's c
oupled scattering approach to positronium formation in e+H scattering
in the region below the first target excitation threshold are used to
obtain an expression for the p-wave cross section for resonant dtmu fo
rmation. The result is similar to the Breit-Wigner formula. Full detai
ls of the calculation will be published elsewhere.