Improved nuclear-structure corrections to the hyperfine splitting of electronic and muonic deuterium
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909752935579648 |
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| author | Bonilla, Jose Richardson, Thomas R. Bacca, Sonia Ji, Chen Platter, Lucas |
| author_facet | Bonilla, Jose Richardson, Thomas R. Bacca, Sonia Ji, Chen Platter, Lucas |
| contents | We calculate the nuclear-structure correction to the hyperfine splitting in both electronic and muonic deuterium using interactions from chiral effective field theory. We explore the sensitivity to different parameterizations of the nucleon-nucleon force, study the convergence pattern in the order-by-order chiral expansion, and estimate remaining uncertainties. Our results are consistent with earlier calculations from pionless effective field theory, offering new insights for a robust uncertainty quantification. Thanks to the order-of-magnitude reduction in uncertainty achieved with chiral effective field theory, the two-photon exchange contribution in electronic deuterium agrees with experimental extractions within $0.7σ$, in contrast to the $2.7σ$ discrepancy observed in muonic deuterium. This study lays the groundwork for extending TPE calculations to HFS in heavier atomic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18776 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved nuclear-structure corrections to the hyperfine splitting of electronic and muonic deuterium Bonilla, Jose Richardson, Thomas R. Bacca, Sonia Ji, Chen Platter, Lucas Nuclear Theory Atomic Physics We calculate the nuclear-structure correction to the hyperfine splitting in both electronic and muonic deuterium using interactions from chiral effective field theory. We explore the sensitivity to different parameterizations of the nucleon-nucleon force, study the convergence pattern in the order-by-order chiral expansion, and estimate remaining uncertainties. Our results are consistent with earlier calculations from pionless effective field theory, offering new insights for a robust uncertainty quantification. Thanks to the order-of-magnitude reduction in uncertainty achieved with chiral effective field theory, the two-photon exchange contribution in electronic deuterium agrees with experimental extractions within $0.7σ$, in contrast to the $2.7σ$ discrepancy observed in muonic deuterium. This study lays the groundwork for extending TPE calculations to HFS in heavier atomic systems. |
| title | Improved nuclear-structure corrections to the hyperfine splitting of electronic and muonic deuterium |
| topic | Nuclear Theory Atomic Physics |
| url | https://arxiv.org/abs/2508.18776 |