A Saha Equation In Plasma for Muons

AI Thread Summary
The discussion centers on the application of the Saha equation to muon-catalyzed fusion in a dense plasma. It explores the formation of muonic atoms when muons are introduced into a plasma where pressure ionization has freed all electrons. The key question is whether a modified version of the Saha equation can be used, substituting parameters related to electrons with those relevant to muons, given that muons are more massive and the density of muons is lower than that of ions. The feasibility of this approach hinges on treating both ions and muons classically. Ultimately, the discussion seeks to clarify the conditions under which this adaptation of the Saha equation is valid.
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If I have a fully ionized hydrogen plasma and I introduce some muons into the plasma, does the Saha equation apply to the muons.
I am currently working on the determining the viability of muon-catalyzed fusion in a dense but tepid plasma and the first question pertains to the formation of muonic atoms once muons are injected into the plasma. Suppose the plasma is sufficiently dense such that pressure ionization ensures that all of the electrons are free. But since muons are much more massive than electrons, they can still form bound states. Assume the density of muons is less then that of the ions and that the ions and muons can be treated classically, can a version of the Saha equation where every parameter that would pertain to electrons is changed to pertain to the muons be applied?
 
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