Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen

Karshenboim, Savely G.; Korzinin, Evgeny Yu.; Shelyuto, Valery A.; Иванов, В. П.

doi:10.1103/physrevd.91.073003

Cited by 22 publications

(14 citation statements)

References 45 publications

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“…We present some previous estimates of Friar radii in Table XI. There is a significant difference between results with and without the constraint on the proton charge radius [88,[125][126][127][128][129][130][131][132][133][134][135][136][137][138].…”

Section: Friar Radiusmentioning

confidence: 99%

Parametrization and applications of the low- Q2 nucleon vector form factors

et al. 2020

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We present the proton and neutron vector form factors in a convenient parametric form that is optimized for momentum transfers ≲ few GeV 2. The form factors are determined from a global fit to electron scattering data and precise charge radius measurements. A new treatment of radiative corrections is applied. This parametric representation of the form factors, uncertainties, and correlations provides an efficient means to evaluate many derived observables. We consider two classes of illustrative examples: neutrinonucleon scattering cross sections at GeV energies for neutrino oscillation experiments and nucleon structure corrections for atomic spectroscopy. The neutrino-nucleon charged current quasielastic cross section differs by 3%-5% compared to commonly used form factor models when the vector form factors are constrained by recent high-statistics electron-proton scattering data from the A1 Collaboration. Nucleon structure parameter determinations include: the magnetic and Zemach radii of the proton and neutron, ½r p M ; r n M ¼ ½0.739ð41Þð23Þ; 0.776ð53Þð28Þ fm and ½r p Z ; r n Z ¼ ½1.0227ð94Þð51Þ; −0.0445ð14Þð3Þ fm; the Friar radius of nucleons, ½ðr p F Þ 3 ; ðr n F Þ 3 ¼ ½2.246ð58Þð2Þ; 0.0093ð6Þð1Þ fm 3 ; the electric curvatures, ½hr 4 i p E ; hr 4 i n E ¼ ½1.08ð28Þð5Þ; −0.33ð24Þð3Þ fm 4 ; and bounds on the magnetic curvatures, ½hr 4 i p M ; hr 4 i n M ¼ ½−2.0ð1.7Þð0.8Þ; −2.3ð2.1Þð1.1Þ fm 4. The first and dominant uncertainty is propagated from the experimental data and radiative corrections, and the second error is due to the fitting procedure.

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Section: Friar Radiusmentioning

confidence: 99%

Parametrization and applications of the low- Q2 nucleon vector form factors

et al. 2020

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“…Each part can again be separated into a nuclear (A) and a nucleon (N ) part. c The term "Friar moment" has been introduced by Karshenboim et al in[71].…”

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confidence: 99%

Theory of the Lamb Shift and fine structure in muonic 4He ions and the muonic 3He– 4He Isotope Shift

et al. 2018

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We provide an up to date summary of the theory contributions to the 2S → 2P Lamb shift and the fine structure of the 2P state in the muonic helium ion (µ 4 He) + . This summary serves as the basis for the extraction of the alpha particle charge radius from the muonic helium Lamb shift measurements at the Paul Scherrer Institute, Switzerland. Individual theory contributions needed for a charge radius extraction are compared and compiled into a consistent summary. The influence of the alpha particle charge distribution on the elastic two-photon exchange is studied to take into account possible model-dependencies of the energy levels on the electric form factor of the nucleus. We also discuss the theory uncertainty which enters the extraction of the 3 He-4 He isotope shift from the muonic measurements. The theory uncertainty of the extraction is much smaller than a present discrepancy between previous isotope shift measurements. This work completes our series of n = 2 theory compilations in light muonic atoms which we have performed already for muonic hydrogen, deuterium, and helium-3 ions.

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“…We have also to comment on the composition of the nuclear-structure effects. As it was explained in [31,32], there are three kinds of them in the case of the nuclear spin 1/2. One is due to excitation of the nuclear degrees of freedom (the so-called nuclear polarizability contribution).…”

Section: Resultsmentioning

confidence: 97%

“…On contrary, a construction of an effective theory gives some options. It is worth to mention different possibility for the form factors, nuclear radii (see, e.g., [29,30] for I = 1), a consideration a pointlike limit with an actual value of the nuclear magnetic moment, which is a standard procedure for the external-field approximation for the hyperfine structure (see, e.g., [16,17]) and which may be applied to two-photon recoil contributions for the Lamb shift in muonic atoms with I = 1/2 [31,32]. A pointlike part of theory for the Lamb shift of a muonic deuterium and atoms with other I = 1 nuclei should differ from a fundamental one, since we are to build former as an ultraviolet finite one, while the latter is divergent.…”

Section: Nuclear Spin 1: the Subtraction Termmentioning

confidence: 99%

Subtractions and the effective Salpeter term for the Lamb shift in muonic atoms with the nuclear spin I ≠ 1∕2

2019

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While taking into account the nuclear-structure contributions to the Lamb shift, one has to make various subtractions for the two-photon exchange contributions. Such subtractions should be consistent with the structureless part of theory. We study here the subtractions for a two-body atomic systems which consist of a pointlike lepton (an electron or a muon) and a nucleus with spin 0, 1/2, and 1, and find the recoil contribution in order (Zα) 5 due to the subtractions for I = 0, 1. (The related contribution to the energy levels for I = 1/2 of order (Zα) 5 m is called the Salpeter term.

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Recoil correction to the proton finite-size contribution to the Lamb shift in muonic hydrogen

Cited by 22 publications

References 45 publications

Parametrization and applications of the low- Q2 nucleon vector form factors

Parametrization and applications of the low- Q2 nucleon vector form factors

Theory of the Lamb Shift and fine structure in muonic 4He ions and the muonic 3He– 4He Isotope Shift

Subtractions and the effective Salpeter term for the Lamb shift in muonic atoms with the nuclear spin I ≠ 1∕2

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