Fermion molecular dynamics in the capture of muons by hydrogen atoms

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Abstract
The fermion-molecular-dynamics (FMD) method is applied to negative-muon capture by the hydrogen atom. It is found that the FMD results are similar to those of the classical-trajectory Monte Carlo (CTMC) method, whose validity was confirmed previously by the most accurate existing method, classical - quantal coupling (CQC). Thus FMD is validated as a quasiclassical method for capture and will be applicable to multi-electron atomic and molecular targets, for which the CTMC approach is not suitable. Actually the FMD results agree slightly better with the CQC results and suggest an interpretation of the very low-energy and adiabatic-ionization-threshold regions where the quantal (CQC) cross sections differ most from the classical (CTMC) results.