“…Its strength depends on the details of the coupling to the host spins. When nuclear moments are absent or very low in magnitude, this regime can be restricted to quite low fields, for example, in Au (MacFarlane et al, 2018), but in other cases with a high density of large moment nuclei, such as Al 2 O 3 (MacFarlane et al, 2023) or Nb, it can extend up to several kG. While cross-relaxation also occurs for the implanted muon, the dynamics of nuclear spins are usually sufficiently slow, that they can be treated as static during the muon lifetime (see Section 2.2), and one simply gets depolarization due to Frontiers in Electronic Materials frontiersin.org precession in the static random nuclear dipolar fields, for example, Eq.…”