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- W2000483042 abstract "Kinetic theory has recently been used to describe the spin dynamics associated with the stopping process encountered by highly energetic muons as they thermalize in a single-component gas. The result is a pair of rate equations that describe the dynamics encountered by the diamagnetic and paramagnetic muon species. This dynamical system has motion generated by the hyperfine interaction of the paramagnetic muon species (muonium) and by rates which are products of time-dependent rate constants for the electron-capture and -loss processes with the number density of the moderating gas. These rates are positive by definition. Using a finite-width-step-function approximation to the time dependence of the rates, analytic solutions of these equations are obtained and related to the muon spin polarization of the diamagnetic and paramagnetic species. Line shapes are obtained for the amplitudes of these polarizations as a function of the length of the charge exchange regime ${t}_{c}$. This time duration is inversely proportional to the number density of the moderating gas. The line shapes have two general features, namely, (i) they are constants when the duration of the charge exchange region is short (high-number densities), and (ii) they have resonances for long durations (low-number densities). Also, in general, the amplitudes of the singlet (muonium hyperfine frequency) term and the triplet (muonium Larmor frequency) term are not equal. Fits to the available experimental noble-gas data are presented using the rate constants and the time duration of the charge exchange region as parameters. The theoretical predictions suggest further experimental studies be made, in particular, to see whether the resonances are experimentally resolvable or not." @default.
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- W2000483042 date "1984-05-01" @default.
- W2000483042 modified "2023-10-18" @default.
- W2000483042 title "Charge exchange of muons in gases. II. Application of kinetic equations to the pressure dependence of muon-spin-resonance signals" @default.
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- W2000483042 doi "https://doi.org/10.1103/physreva.29.2541" @default.
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