The interaction between a positive muon and multiple quadrupolar nuclei

A positively charged muon implanted in copper sits at an octahedral interstitial site and experiences a magnetic dipolar coupling with six nearest-neighbour quadrupolar <i>I</i> = 3/2 copper nuclei. The resulting avoided level crossing resonance observed as a function of magnetic field p...

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Main Authors: Bentley, NP, Blundell, SJ
Format: Conference item
Language:English
Published: IOP Publishing 2023
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author Bentley, NP
Blundell, SJ
author_facet Bentley, NP
Blundell, SJ
author_sort Bentley, NP
collection OXFORD
description A positively charged muon implanted in copper sits at an octahedral interstitial site and experiences a magnetic dipolar coupling with six nearest-neighbour quadrupolar <i>I</i> = 3/2 copper nuclei. The resulting avoided level crossing resonance observed as a function of magnetic field provides a means of studying these interactions and understanding the effect of the electric-field gradient due to the muon acting on the quadrupolar nuclei. The effect is usually modelled by considering the interaction between the positive muon and a single copper nucleus, but the other five copper nuclei are equally important. By solving the problem in the full 2(2<i>I</i> + 1)<sup>6</sup> = 8192-dimensional Hilbert space, we demonstrate the effect of these additional interactions.
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spelling oxford-uuid:38ec8ab0-2deb-4da9-9723-e89db3dee36d2023-08-25T15:56:40ZThe interaction between a positive muon and multiple quadrupolar nucleiConference itemhttp://purl.org/coar/resource_type/c_5794uuid:38ec8ab0-2deb-4da9-9723-e89db3dee36dEnglishSymplectic ElementsIOP Publishing2023Bentley, NPBlundell, SJA positively charged muon implanted in copper sits at an octahedral interstitial site and experiences a magnetic dipolar coupling with six nearest-neighbour quadrupolar <i>I</i> = 3/2 copper nuclei. The resulting avoided level crossing resonance observed as a function of magnetic field provides a means of studying these interactions and understanding the effect of the electric-field gradient due to the muon acting on the quadrupolar nuclei. The effect is usually modelled by considering the interaction between the positive muon and a single copper nucleus, but the other five copper nuclei are equally important. By solving the problem in the full 2(2<i>I</i> + 1)<sup>6</sup> = 8192-dimensional Hilbert space, we demonstrate the effect of these additional interactions.
spellingShingle Bentley, NP
Blundell, SJ
The interaction between a positive muon and multiple quadrupolar nuclei
title The interaction between a positive muon and multiple quadrupolar nuclei
title_full The interaction between a positive muon and multiple quadrupolar nuclei
title_fullStr The interaction between a positive muon and multiple quadrupolar nuclei
title_full_unstemmed The interaction between a positive muon and multiple quadrupolar nuclei
title_short The interaction between a positive muon and multiple quadrupolar nuclei
title_sort interaction between a positive muon and multiple quadrupolar nuclei
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