Abstract

Muon cycling dynamics for muon catalyzed fusion in heterogeneous solid layers are considered through decay of complex molecule [Formula: see text]. The suggested fusion system consists of three layers which are alternatively repeated. The first layer is D/T (deuterium, tritium) which provides [Formula: see text] molecules. The second layer is T2 molecules which are used to slow down the muonic atoms and the third layer is D2 molecules. The design is in a way in which dtμ, muonic deuterium and tritium molecules, are produced in resonance. It is shown, by considering muonic dynamics theoretically in a suggested heterogeneous system and determining its cycling rate by using a more advanced calculational method, that for equal deuterium, tritium concentration (Cd=Ct=0.5) in D/T layer and ϕ'=ϕ0=ϕ=1 (relative density for each layer respectively and given in liquid hydrogen density LHD=4.25×1022 cm -3), the muon cycling rate is optimum for the suggested heterogeneous system and has 15% enhancement with respect to the conventional D/T system. It is also shown that for ϕ0<0.0003 the muon cycling rate in D2 is almost stopped, and for ϕ0≥1 muon cycling rate increases, but this is not recommended due to low and costly tritium availability.

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