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Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
We present a study of the two-photon-exchange (2[Formula: see text] -exchange) corrections to the S-levels in muonic ([Formula: see text] D) and ordinary (D) deuterium within the pionless effective field theory ([Image: see text]EFT). Our calculation proceeds up to next-to-next-to-next-to-leading or...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer Berlin Heidelberg
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9666338/ https://www.ncbi.nlm.nih.gov/pubmed/36404796 http://dx.doi.org/10.1140/epja/s10050-022-00854-z |
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author | Lensky, Vadim Hagelstein, Franziska Pascalutsa, Vladimir |
author_facet | Lensky, Vadim Hagelstein, Franziska Pascalutsa, Vladimir |
author_sort | Lensky, Vadim |
collection | PubMed |
description | We present a study of the two-photon-exchange (2[Formula: see text] -exchange) corrections to the S-levels in muonic ([Formula: see text] D) and ordinary (D) deuterium within the pionless effective field theory ([Image: see text]EFT). Our calculation proceeds up to next-to-next-to-next-to-leading order (N3LO) in the [Image: see text]EFT expansion. The only unknown low-energy constant entering the calculation at this order corresponds to the coupling of a longitudinal photon to the nucleon–nucleon system. To minimise its correlation with the deuteron charge radius, it is extracted using the information about the hydrogen–deuterium isotope shift. We find the elastic 2[Formula: see text] -exchange contribution in [Formula: see text] D larger by several standard deviations than obtained in other recent calculations. This discrepancy ameliorates the mismatch between theory and experiment on the size of 2[Formula: see text] -exchange effects, and is attributed to the properties of the deuteron elastic charge form factor parametrisation used to evaluate the elastic contribution. We identify a correlation between the deuteron charge and Friar radii, which can help one to judge how well a form factor parametrisation describes the low-virtuality properties of the deuteron. We also evaluate the higher-order 2[Formula: see text] -exchange contributions in [Formula: see text] D, generated by the single-nucleon structure and expected to be the most important terms beyond N3LO. The uncertainty of the theoretical result is dominated by the truncation of the [Image: see text]EFT series and is quantified using a Bayesian approach. The resulting extractions of the deuteron charge radius from the [Formula: see text] D Lamb shift, the [Formula: see text] transition in D, and the [Formula: see text] hydrogen–deuterium isotope shift, with the respective 2[Formula: see text] -exchange effects evaluated in a unified [Image: see text]EFT approach, are in perfect agreement. |
format | Online Article Text |
id | pubmed-9666338 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-96663382022-11-17 Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory Lensky, Vadim Hagelstein, Franziska Pascalutsa, Vladimir Eur Phys J A Hadron Nucl Regular Article - Theoretical Physics We present a study of the two-photon-exchange (2[Formula: see text] -exchange) corrections to the S-levels in muonic ([Formula: see text] D) and ordinary (D) deuterium within the pionless effective field theory ([Image: see text]EFT). Our calculation proceeds up to next-to-next-to-next-to-leading order (N3LO) in the [Image: see text]EFT expansion. The only unknown low-energy constant entering the calculation at this order corresponds to the coupling of a longitudinal photon to the nucleon–nucleon system. To minimise its correlation with the deuteron charge radius, it is extracted using the information about the hydrogen–deuterium isotope shift. We find the elastic 2[Formula: see text] -exchange contribution in [Formula: see text] D larger by several standard deviations than obtained in other recent calculations. This discrepancy ameliorates the mismatch between theory and experiment on the size of 2[Formula: see text] -exchange effects, and is attributed to the properties of the deuteron elastic charge form factor parametrisation used to evaluate the elastic contribution. We identify a correlation between the deuteron charge and Friar radii, which can help one to judge how well a form factor parametrisation describes the low-virtuality properties of the deuteron. We also evaluate the higher-order 2[Formula: see text] -exchange contributions in [Formula: see text] D, generated by the single-nucleon structure and expected to be the most important terms beyond N3LO. The uncertainty of the theoretical result is dominated by the truncation of the [Image: see text]EFT series and is quantified using a Bayesian approach. The resulting extractions of the deuteron charge radius from the [Formula: see text] D Lamb shift, the [Formula: see text] transition in D, and the [Formula: see text] hydrogen–deuterium isotope shift, with the respective 2[Formula: see text] -exchange effects evaluated in a unified [Image: see text]EFT approach, are in perfect agreement. Springer Berlin Heidelberg 2022-11-16 2022 /pmc/articles/PMC9666338/ /pubmed/36404796 http://dx.doi.org/10.1140/epja/s10050-022-00854-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Regular Article - Theoretical Physics Lensky, Vadim Hagelstein, Franziska Pascalutsa, Vladimir Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory |
title | Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory |
title_full | Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory |
title_fullStr | Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory |
title_full_unstemmed | Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory |
title_short | Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory |
title_sort | two-photon exchange in (muonic) deuterium at n3lo in pionless effective field theory |
topic | Regular Article - Theoretical Physics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9666338/ https://www.ncbi.nlm.nih.gov/pubmed/36404796 http://dx.doi.org/10.1140/epja/s10050-022-00854-z |
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