Contribution of light-by-light scattering to energy levels of light muonic atoms

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

doi:10.1134/s0021364010130023

Cited by 41 publications

(56 citation statements)

References 19 publications

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“…Instead, one can follow the momentum-space derivation of the WichmannKroll contribution in Ref. [15]. The weighting function w(Q) then arises as a convolution of the hydrogen wave functions, which is interpreted as the atomic FF.…”

Section: Lamb Shift: To Expand or Notmentioning

confidence: 99%

Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution

Hagelstein

Pascalutsa

2015

Phys. Rev. A

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We quantify a limitation in the usual accounting of the finite-size effects, where the leading [(Zα) 4 ] and subleading [(Zα) 5 ] contributions to the Lamb shift are given by the mean-square radius and the third Zemach moment of the charge distribution. In the presence of any non-smooth behaviour of the nuclear form factor at scales comparable to the inverse Bohr radius, the expansion of the Lamb shift in the moments breaks down. This is relevant for some of the explanations of the "proton size puzzle". We find, for instance, that the de Rújula toy model of the proton form factor does not resolve the puzzle as claimed, despite the large value of the third Zemach moment. Without relying on the radii expansion, we show how tiny, milli-percent (pcm) changes in the proton electric form factor at a MeV scale would be able to explain the puzzle. It shows that one needs to know all the soft contributions to proton electric form factor to pcm accuracy for a precision extraction of the proton charge radius from atomic Lamb shifts.

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Section: Lamb Shift: To Expand or Notmentioning

confidence: 99%

Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution

Hagelstein

Pascalutsa

2015

Phys. Rev. A

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“…We anticipate that this uncertainty can be also reached for the so far unknown two-loop LBL scattering terms with existing methods [67,68]. This will allow for the improvement of the muon mass, or a determination of the free muon magnetic anomaly by subtracting theoretical binding effects from the measured bound-muon g factor.…”

Section: Discussionmentioning

confidence: 97%

“…Their calculation can be extended to the case of muons in a straightforward manner employing the methods of Ref. [67] or [68]. While the uncertainty due to these terms cannot be reliably given, in the table we estimate this uncertainty from the one-loop magnetic loop correction Δg ML as 10Δg ML In the calculation of the SE wave function correction [ Fig.…”

Section: Effectmentioning

confidence: 99%

Improving the accuracy of the muon mass and magnetic moment anomaly via the bound-muon g factor

et al. 2018

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A theoretical description of the g factor of a muon bound in a nuclear potential is presented. Oneloop self-energy and multiloop vacuum polarization corrections are calculated, taking into account the interaction with the binding potential exactly. Nuclear effects on the bound-muon g factor are also evaluated. We put forward the measurement of the bound-muon g factor via the continuous Stern-Gerlach effect as an independent means to determine the muon's magnetic moment anomaly and mass. The scheme presented enables the increase of the accuracy of the mass by more than an order of magnitude.

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“…An estimate of their contribution to the Lamb shift is included in Tables I-III. Finally, there exists another one-loop vacuum polarization correction of order α(Zα) 4 in the Lamb shift known as the Wichmann-Kroll correction [42,43]. Its calculation was discussed repeatedly in [15,31], so we restrict ourselves here by including numerical results in the final Tables as well as the whole light-by-light contribution (see detailed calculation in [44]). Almost all of the corrections presented in this section are written in the integral form, and are therefore specific character for each muon atom.…”

Section: Effects Of Vacuum Polarization In the One-photon Interacmentioning

confidence: 99%

Lamb shift in muonic ions of lithium, beryllium, and boron

Krutov

Martynenko

et al. 2016

Phys. Rev. A

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We present a precise calculation of the Lamb shift (2P 1/2 − 2S 1/2 ) in muonic ions (µ 6 3 Li) 2+ , (µ 7 3 Li) 2+ , (µ 9 4 Be) 3+ , (µ 10 4 Be) 3+ , (µ 10 5 B) 4+ , (µ 11 5 B) 4+ . The contributions of orders α 3 ÷α 6 to the vacuum polarization, nuclear structure and recoil, relativistic effects are taken into account. Our numerical results are consistent with previous calculations and improve them due to account of new corrections. The obtained results can be used for the comparison with future experimental data, and extraction more accurate values of nuclear charge radii.

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Contribution of light-by-light scattering to energy levels of light muonic atoms

Cited by 41 publications

References 19 publications

Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution

Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution

Improving the accuracy of the muon mass and magnetic moment anomaly via the bound-muon g factor

Lamb shift in muonic ions of lithium, beryllium, and boron

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