Effect of zero-point motion on μ+–19F dipole coupling in the FμF− ion in fluoride insulators

Abstract

A simple harmonic-potential argument is used to provide a first estimate of the ground state muon zero-point motion in the FμF− ion on the basis of the FHF− and FDF− ions in solids. A cutoff-dependent estimate of the ground state μ+–19F dipole coupling indicates that the motion causes a small increase in coupling over the fixed point-dipole value. The smallest observed F–F separation through μ+, deduced from muon spin relaxation (μSR) in CaF2, is then slightly larger than expected.