Slightly harder than I remembered:

> Even if muons were absolutely stable, each muon could catalyze, on average, only about 100 d-t fusions before sticking to an alpha particle, which is only about one-fifth the number of muon catalyzed d–t fusions needed for break-even, where as much thermal energy is generated as electrical energy is consumed to produce the muons in the first place, according to Jackson's rough estimate

> More recent measurements seem to point to more encouraging values for the α-sticking probability, finding the α-sticking probability to be about 0.5% (or perhaps even about 0.4% or 0.3%), which could mean as many as about 200 (or perhaps even about 250 or about 333) muon-catalyzed d-t fusions per muon.[29][30] Indeed, the team led by Steven E. Jones achieved 150 d-t fusions per muon (average) at the Los Alamos Meson Physics Facility.[31] Unfortunately, 200 (or 250 or even 333) muon-catalyzed d-t fusions per muon are still not quite enough even to reach "break-even," where as much thermal energy is generated (or output) as the electrical energy that was used up (or input) to make the muon in the first place. This means, of course, that not nearly enough thermal energy is generated thereby to be able to convert the thermal energy released into more useful electrical energy, and to have any electrical energy left over to sell to the commercial electrical power "grid." The conversion efficiency from thermal energy to electrical energy is only about 40% or so. Also, some not inconsiderable fraction of that electrical energy (hopefully not all of it) would have to be "recycled" (used up in deuteron particle accelerators, for example) to make more muons to keep the muon-catalyzed d-t nuclear fusion fires burning night and day.[32] The best recent estimated guess of the electrical "energy cost" per muon is about 6 GeV (billion electron Volts), using deuterons that are accelerated to have kinetic energies of about 800 MeV per nucleon, with accelerators that are (coincidentally) about 40% efficient at taking electrical energy from the Alternating Current (AC) mains (the plugs in the wall) and accelerating the deuterons using this electrical energy.

Yep, it's challenging. Maybe this rate can be improved by applying alternating voltage to reactor. Muons are charged particles, so they can be accelerated further. (Just idea)

Some researchers[0] are using a lattice filled with Deuterium to increase density of Deuterium and boost rate of nuclear reactions by using Inertial Electrostatic Confinement fusion and Lattice Confinement Fusion: https://youtu.be/UtfUeip4vyA?t=400

[0]: https://www.astralneutronics.com/

According to this, breakeven can already be achieved. Rather funny how this is a highly advanced research topic and a mistake like that could take place (if real). https://en.wikipedia.org/wiki/Muon-catalyzed_fusion#Alternat...