Enforced stripping of negative muons from $\mu$He+ ions to stimulate muon-catalyzed fusion by cyclotron resonance acceleration

Abstract

Abstract The addition (sticking) of a negative muon to an $\alpha$ particle to form a $\mu$He$^+$ ion limits the number of chain reactions in muon-catalyzed fusion (MuCF), making scientific break-even in MuCF difficult. The reduction in the sticking probability by boosting the negative muon stripping using resonance radio-frequency (RF) acceleration of $\mu$He$^+$ ions has been examined with multi-particle tracking simulations. It was found that the stripping efficiency was largely depressed by ion–electron capture processes that have not been considered so far. Improvement of the fusion chain cycles is rather difficult with an RF electric field strength of 50 MV m$^{-1}$ even at a small deuterium/tritium (D/T) gas pressure of approximately 5 atm. However, in the scheme of using spatially localized D/T mixture gas streams, the sticking probability could be reduced almost tenfold even at a large gas density of 100 atm with a modest RF field strength of less than 50 MV m$^{-1}$.