Abstract
The systematics of muon capture rates in complex nuclei is discussed in the closure approximation. It is shown that for calculations in infinite nuclear matter, the nuclear ground state can be reasonably approximated by an infinite Fermi gas. The closure approximation and Fermi-gas model for the nuclear ground state are then used in an analysis of the experimental capture rates in a large number of nuclei. We find that this procedure does allow one to satisfactorily interpret quantitatively the muon-capture rates in the heavier nuclei and that it is possible to interpret the analysis in a manner which is not inconsistent with a universal Fermi interaction. The possibility of using muon capture rates to determine a neutron-proton nuclear-radius difference is also explored but with negative results.
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