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Muonic-hydrogen Lamb shift: dispersing the nucleon-excitation uncertainty with a finite-energy sum rule

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dc.contributor.authorLlanes Estrada, Felipe José
dc.contributor.authorGorchtein, Mikhail
dc.contributor.authorSzczepaniak, Adam P
dc.date.accessioned2023-06-19T13:22:19Z
dc.date.available2023-06-19T13:22:19Z
dc.date.issued2013-05-03
dc.description© 2013 American Physical Society. We thank Stan Brodsky for suggesting that we reexamine this issue and for various useful comments. This work is supported by US DOE Grant No. DE-FG0287ER40365, German SFB 1044, and Spanish Grants No. FPA2011-27853- 01 and No. FIS2008-01323.
dc.description.abstractWe assess the two-photon exchange contribution to the Lamb shift in muonic hydrogen with forward dispersion relations. The subtraction constant (T) over bar (0, Q(2)) that is necessary for a dispersive evaluation of the forward doubly virtual Compton amplitude, through a finite energy sum rule, is related to the fixed J = 0 pole generalized to the case of virtual photons. We evaluated this sum rule using excellent virtual photoabsorption data that are available. We find that the "proton polarizability correction" to the Lamb shift in muonic hydrogen is -(40 +/- 5) mu eV. We conclude that nucleon structure-dependent uncertainty by itself is unlikely to resolve the large (300 mu eV) discrepancy between direct measurement of the Lamb shift in mu H and expectations based on conventional hydrogen measurements.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUS DOE
dc.description.sponsorshipGerman SFB
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/23577
dc.identifier.doi10.1103/PhysRevA.87.052501
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.87.052501
dc.identifier.relatedurlhttp://pra.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33382
dc.issue.number5
dc.journal.titlePhysical Review A
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDDE-FG0287ER40365
dc.relation.projectIDFPA2011-27853-01
dc.relation.projectIDFIS2008-01323
dc.relation.projectIDSFB 1044
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordCompton-Scattering
dc.subject.keywordProton Structure
dc.subject.keywordLow Q(2)
dc.subject.keywordAtoms
dc.subject.ucmFísica (Física)
dc.subject.unesco22 Física
dc.titleMuonic-hydrogen Lamb shift: dispersing the nucleon-excitation uncertainty with a finite-energy sum rule
dc.typejournal article
dc.volume.number87
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