Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory

Publication type:
Journal article
Metadata:
Autoren
  • Vadim Lensky
  • Franziska Hagelstein
  • Vladimir Pascalutsa
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000884901000001&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.1140/epja/s10050-022-00854-z
eISSN
1434-601X
Externe Identifier
  • Clarivate Analytics Document Solution ID: 6G6ZL
  • PubMed Identifier: 36404796
ISSN
1434-6001
Ausgabe der Veröffentlichung
11
Zeitschrift
EUROPEAN PHYSICAL JOURNAL A
Artikelnummer
ARTN 224
Datum der Veröffentlichung
2022
Status
Published
Titel
Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
Sub types
  • Article
Ausgabe der Zeitschrift
58

Data source: Web of Science (Lite)

Other metadata sources:
Abstract
<jats:title>Abstract</jats:title><jats:p>We present a study of the two-photon-exchange (2<jats:inline-formula><jats:alternatives><jats:tex-math>$$\upgamma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>-exchange) corrections to the <jats:italic>S</jats:italic>-levels in muonic (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\mu $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>μ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>D) and ordinary (D) deuterium within the pionless effective field theory ("Equation missing"<!-- image only, no MathML or LaTex -->EFT). Our calculation proceeds up to next-to-next-to-next-to-leading order (N3LO) in the "Equation missing"<!-- image only, no MathML or LaTex -->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<jats:inline-formula><jats:alternatives><jats:tex-math>$$\upgamma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>-exchange contribution in <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mu $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>μ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>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<jats:inline-formula><jats:alternatives><jats:tex-math>$$\upgamma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>-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<jats:inline-formula><jats:alternatives><jats:tex-math>$$\upgamma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>-exchange contributions in <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mu $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>μ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>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 "Equation missing"<!-- image only, no MathML or LaTex -->EFT series and is quantified using a Bayesian approach. The resulting extractions of the deuteron charge radius from the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mu $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>μ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>D Lamb shift, the <jats:inline-formula><jats:alternatives><jats:tex-math>$$2S{-}1S$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>S</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> transition in D, and the <jats:inline-formula><jats:alternatives><jats:tex-math>$$2S{-}1S$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>S</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> hydrogen–deuterium isotope shift, with the respective 2<jats:inline-formula><jats:alternatives><jats:tex-math>$$\upgamma $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>-exchange effects evaluated in a unified "Equation missing"<!-- image only, no MathML or LaTex -->EFT approach, are in perfect agreement.</jats:p>
Autoren
  • Vadim Lensky
  • Franziska Hagelstein
  • Vladimir Pascalutsa
DOI
10.1140/epja/s10050-022-00854-z
eISSN
1434-601X
Ausgabe der Veröffentlichung
11
Zeitschrift
The European Physical Journal A
Sprache
en
Artikelnummer
224
Online publication date
2022
Status
Published online
Herausgeber
Springer Science and Business Media LLC
Herausgeber URL
http://dx.doi.org/10.1140/epja/s10050-022-00854-z
Datum der Datenerfassung
2022
Titel
Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
Ausgabe der Zeitschrift
58

Data source: Crossref

Abstract
We present a study of the two-photon-exchange (2 γ -exchange) corrections to the <i>S</i>-levels in muonic ( μ D) and ordinary (D) deuterium within the pionless effective field theory (EFT). Our calculation proceeds up to next-to-next-to-next-to-leading order (N3LO) in the 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 γ -exchange contribution in μ 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 γ -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 γ -exchange contributions in μ 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 EFT series and is quantified using a Bayesian approach. The resulting extractions of the deuteron charge radius from the μ D Lamb shift, the 2 S - 1 S transition in D, and the 2 S - 1 S hydrogen-deuterium isotope shift, with the respective 2 γ -exchange effects evaluated in a unified EFT approach, are in perfect agreement.
Addresses
  • Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, 55128 Mainz, Germany.
Autoren
  • Vadim Lensky
  • Franziska Hagelstein
  • Vladimir Pascalutsa
DOI
10.1140/epja/s10050-022-00854-z
eISSN
1434-601X
Externe Identifier
  • PubMed Identifier: 36404796
  • PubMed Central ID: PMC9666338
Funding acknowledgements
  • Swiss National Science Foundation: PZ00P2 193383
  • Deutsche Forschungsgemeinschaft: 449369623
  • Swiss National Science Foundation: 193383
Open access
true
ISSN
1434-6001
Ausgabe der Veröffentlichung
11
Zeitschrift
The European physical journal. A, Hadrons and nuclei
Sprache
eng
Medium
Print-Electronic
Online publication date
2022
Open access status
Open Access
Paginierung
224
Datum der Veröffentlichung
2022
Status
Published
Publisher licence
CC BY
Datum der Datenerfassung
2022
Titel
Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory.
Sub types
  • research-article
  • Journal Article
Ausgabe der Zeitschrift
58

Files

https://link.springer.com/content/pdf/10.1140/epja/s10050-022-00854-z.pdf https://europepmc.org/articles/PMC9666338?pdf=render

Data source: Europe PubMed Central

Abstract
We present a study of the two-photon-exchange (2 γ -exchange) corrections to the S-levels in muonic ( μ D) and ordinary (D) deuterium within the pionless effective field theory (EFT). Our calculation proceeds up to next-to-next-to-next-to-leading order (N3LO) in the 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 γ -exchange contribution in μ 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 γ -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 γ -exchange contributions in μ 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 EFT series and is quantified using a Bayesian approach. The resulting extractions of the deuteron charge radius from the μ D Lamb shift, the 2 S - 1 S transition in D, and the 2 S - 1 S hydrogen-deuterium isotope shift, with the respective 2 γ -exchange effects evaluated in a unified EFT approach, are in perfect agreement.
Date of acceptance
2022
Autoren
  • Vadim Lensky
  • Franziska Hagelstein
  • Vladimir Pascalutsa
Autoren-URL
https://www.ncbi.nlm.nih.gov/pubmed/36404796
DOI
10.1140/epja/s10050-022-00854-z
eISSN
1434-601X
Externe Identifier
  • PubMed Central ID: PMC9666338
Ausgabe der Veröffentlichung
11
Zeitschrift
Eur Phys J A Hadron Nucl
Sprache
eng
Country
France
Paginierung
224
PII
854
Datum der Veröffentlichung
2022
Status
Published
Titel
Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory.
Sub types
  • Journal Article
Ausgabe der Zeitschrift
58

Data source: PubMed

Author's licence
CC-BY
Autoren
  • Vadim Lensky
  • Franziska Hagelstein
  • Vladimir Pascalutsa
Hosting institution
Universitätsbibliothek Mainz
Sammlungen
  • DFG-491381577-H
Resource version
Published version
DOI
10.1140/epja/s10050-022-00854-z
Funding acknowledgements
  • Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577
File(s) embargoed
false
Open access
true
ISSN
1434-601X
Zeitschrift
The European physical journal : A
Schlüsselwörter
  • 530 Physik
  • 530 Physics
Sprache
eng
Open access status
Open Access
Paginierung
224
Datum der Veröffentlichung
2022
Public URL
https://openscience.ub.uni-mainz.de/handle/20.500.12030/8428
Herausgeber
Springer
Datum der Datenerfassung
2023
Datum, an dem der Datensatz öffentlich gemacht wurde
2023
Zugang
Public
Titel
Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
Ausgabe der Zeitschrift
58

Files

twophoton_exchange_in_muonic_-20221124151655313.pdf

Data source: OPENSCIENCE.UB

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