The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
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2024
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| _version_ | 1866913937266573312 |
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| author | Vandeleur, J. Sanamyan, G. Roberts, B. M. Ginges, J. S. M. |
| author_facet | Vandeleur, J. Sanamyan, G. Roberts, B. M. Ginges, J. S. M. |
| contents | The Moskowitz-Lombardi rule gives a simple relation between the magnetic moment of an atomic nucleus and the effect of its radial distribution on the hyperfine structure - the magnetic hyperfine anomaly or "Bohr-Weisskopf" effect. It was originally formulated for mercury, for which experimental data for nuclear magnetic moments and hyperfine constants were available for a number of isotopes. While the relation for the differential effect between isotopes may be completely determined experimentally, the value for the additive constant that is needed to give the Bohr-Weisskopf (BW) effect for a single isotope has remained untested. In this work, we determine the BW effect in singly-ionized and neutral mercury from experimental muonic Hg-199 data together with our atomic calculations. We check this result by directly extracting the BW effect from the hyperfine constant for singly-ionized Hg-199 using state-of-the-art atomic many-body calculations. From this we deduce an empirical value for the additive constant in the Moskowitz-Lombardi rule, which differs significantly from the values advocated previously. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule Vandeleur, J. Sanamyan, G. Roberts, B. M. Ginges, J. S. M. Atomic Physics Nuclear Experiment Nuclear Theory The Moskowitz-Lombardi rule gives a simple relation between the magnetic moment of an atomic nucleus and the effect of its radial distribution on the hyperfine structure - the magnetic hyperfine anomaly or "Bohr-Weisskopf" effect. It was originally formulated for mercury, for which experimental data for nuclear magnetic moments and hyperfine constants were available for a number of isotopes. While the relation for the differential effect between isotopes may be completely determined experimentally, the value for the additive constant that is needed to give the Bohr-Weisskopf (BW) effect for a single isotope has remained untested. In this work, we determine the BW effect in singly-ionized and neutral mercury from experimental muonic Hg-199 data together with our atomic calculations. We check this result by directly extracting the BW effect from the hyperfine constant for singly-ionized Hg-199 using state-of-the-art atomic many-body calculations. From this we deduce an empirical value for the additive constant in the Moskowitz-Lombardi rule, which differs significantly from the values advocated previously. |
| title | The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule |
| topic | Atomic Physics Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2411.09912 |