# 15th International Conference on Muon Spin Rotation, Relaxation and Resonance

28 August 2022 to 2 September 2022
Science and Technology Campus, University of Parma
Europe/Rome timezone
Submission deadline for Conference Proceedings extended until 3 October

## Data analysis for µSR experiments with negative muons.

28 Aug 2022, 14:30
15m
Aula dei Cavalieri, University Central Palace, via Università 12

#### Aula dei Cavalieri, University Central Palace, via Università 12

Oral New techniques

### Speaker

Mr George Gill (University of Oxford / ISIS)

### Description

Negative muons are often overlooked compared to their positive counterpart, partly due to the loss of around $\frac{5}{6}$ of the $\mu^{-}$ spin polarisation when a $\mu^{-}$ cascades down to the 1s muonic ground state after being captured by a nucleus. One needs to count for around 36 times as long to get statistics comparable to that of a $\mu^{+}$SR experiment. However, there has been a recent revival of $\mu^{-}$SR experiments, particularly in the study of hydrogen storage and battery materials [1,2]. When stopped in a material of atomic number $Z$, $\mu^{-}$ forms a muonic atom and cascades down to its ground state. The muon Bohr radius is 200 times smaller than the electron Bohr radius, and so this probe behaves like an ultra-dilute atom of apparent nuclear charge $Z-1$. The $\mu^{-}$ will be strongly hyperfine coupled to the nuclear spin of the capture atom, but if that nuclear spin is zero, such as an oxygen in MnO, the only coupling will be to the nuclear dipolar fields in a region very close to that capture nucleus. Because of these difficulties new analysis techniques have been developed in WiMDA [3] for the fitting of $\mu^{-}$SR data, and we have adapted the DFT+$\mu^{+}$ technique for the case of a negative muon. Both of these new techniques have been applied to MnO where the dipole field simulations show a large field at the oxygen site, and DFT+$\mu^{-}$ calculations show a Jahn-Teller-like distortion around the negative muon.

References
[1] J.Sugiyama et al Phys. Rev. Lett. 121, 087202 (2018).
[2] J. Sugiyama et al, Phys. Rev. Res. 2, 033161 (2020).
[3] F.L. Pratt, Physica B 289-290, 710 (2000)

### Primary authors

Mr George Gill (University of Oxford / ISIS) Stephen Blundell (University of Oxford) Francis Pratt (STFC)

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