View in EDS HTML Full Text PDF Full Text

Chiral perturbation theory of the hyperfine splitting in (muonic) hydrogen.

Saved in:
Bibliographic Details
Title: Chiral perturbation theory of the hyperfine splitting in (muonic) hydrogen.
Authors: Hagelstein, Franziska1,2,3 (AUTHOR) hagelste@uni-mainz.de, Lensky, Vadim1 (AUTHOR), Pascalutsa, Vladimir1 (AUTHOR)
Source: European Physical Journal C -- Particles & Fields. Aug2023, Vol. 83 Issue 8, p1-18. 18p.
Subjects: Chiral perturbation theory, Hyperfine coupling, Hydrogen, Factor structure, Polynomial chaos, Minkowski space
Abstract: The ongoing experimental efforts to measure the hyperfine transition in muonic hydrogen prompt an accurate evaluation of the proton-structure effects. At the leading order in α , which is O (α 5) in the hyperfine splitting (hfs), these effects are usually evaluated in a data-driven fashion, using the empirical information on the proton electromagnetic form factors and spin structure functions. Here we perform a first calculation based on the baryon chiral perturbation theory (B χ PT). At leading orders it provides a prediction for the proton polarizability effects in hydrogen (H) and muonic hydrogen (μ H). We find large cancellations among the various contributions leading to, within the uncertainties, a zero polarizability effect at leading order in the B χ PT expansion. This result is in significant disagreement with the current data-driven evaluations. The small polarizability effect implies a smaller Zemach radius R Z , if one uses the well-known experimental 1S hfs in H or the 2S hfs in μ H. We, respectively, obtain R Z (H) = 1.010 (9) fm, R Z (μ H) = 1.040 (33) fm. The total proton-structure effect to the hfs at O (α 5) is then consistent with previous evaluations; the discrepancy in the polarizability is compensated by the smaller Zemach radius. Our recommended value for the 1S hfs in μ H is 182.640 (18) meV. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 171882469
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Chiral perturbation theory of the hyperfine splitting in (muonic) hydrogen.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Hagelstein%2C+Franziska%22">Hagelstein, Franziska</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> hagelste@uni-mainz.de</i><br /><searchLink fieldCode="AR" term="%22Lensky%2C+Vadim%22">Lensky, Vadim</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pascalutsa%2C+Vladimir%22">Pascalutsa, Vladimir</searchLink><relatesTo>1</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Aug2023, Vol. 83 Issue 8, p1-18. 18p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Chiral+perturbation+theory%22">Chiral perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hyperfine+coupling%22">Hyperfine coupling</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrogen%22">Hydrogen</searchLink><br /><searchLink fieldCode="DE" term="%22Factor+structure%22">Factor structure</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomial+chaos%22">Polynomial chaos</searchLink><br /><searchLink fieldCode="DE" term="%22Minkowski+space%22">Minkowski space</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The ongoing experimental efforts to measure the hyperfine transition in muonic hydrogen prompt an accurate evaluation of the proton-structure effects. At the leading order in α , which is O (α 5) in the hyperfine splitting (hfs), these effects are usually evaluated in a data-driven fashion, using the empirical information on the proton electromagnetic form factors and spin structure functions. Here we perform a first calculation based on the baryon chiral perturbation theory (B χ PT). At leading orders it provides a prediction for the proton polarizability effects in hydrogen (H) and muonic hydrogen (μ H). We find large cancellations among the various contributions leading to, within the uncertainties, a zero polarizability effect at leading order in the B χ PT expansion. This result is in significant disagreement with the current data-driven evaluations. The small polarizability effect implies a smaller Zemach radius R Z , if one uses the well-known experimental 1S hfs in H or the 2S hfs in μ H. We, respectively, obtain R Z (H) = 1.010 (9) fm, R Z (μ H) = 1.040 (33) fm. The total proton-structure effect to the hfs at O (α 5) is then consistent with previous evaluations; the discrepancy in the polarizability is compensated by the smaller Zemach radius. Our recommended value for the 1S hfs in μ H is 182.640 (18) meV. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=171882469
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1140/epjc/s10052-023-11866-4
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 1
    Subjects:
      – SubjectFull: Chiral perturbation theory
        Type: general
      – SubjectFull: Hyperfine coupling
        Type: general
      – SubjectFull: Hydrogen
        Type: general
      – SubjectFull: Factor structure
        Type: general
      – SubjectFull: Polynomial chaos
        Type: general
      – SubjectFull: Minkowski space
        Type: general
    Titles:
      – TitleFull: Chiral perturbation theory of the hyperfine splitting in (muonic) hydrogen.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Hagelstein, Franziska
      – PersonEntity:
          Name:
            NameFull: Lensky, Vadim
      – PersonEntity:
          Name:
            NameFull: Pascalutsa, Vladimir
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 08
              Text: Aug2023
              Type: published
              Y: 2023
          Identifiers:
            – Type: issn-print
              Value: 14346044
          Numbering:
            – Type: volume
              Value: 83
            – Type: issue
              Value: 8
          Titles:
            – TitleFull: European Physical Journal C -- Particles & Fields
              Type: main
ResultId 1