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Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions

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Carl E. Carlson, Mikhail Gorchtein, Marc Vanderhaeghen

Nuclear Theory · Submitted 18 Nov 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our result is that the energy of the 2$S$ state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation.

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arXiv ID1611.06192 (version 2)
Pith IDXNMU6W4F, Pith's permanent record of this paper and its review
CitationCarl E. Carlson, Marc Vanderhaeghen, Mikhail Gorchtein. "Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions." arXiv:1611.06192 (2016). https://pith.science/paper/XNMU6W4F
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,013 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.98 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set, for purposes of doing the dispersion integrals. Our result is that the energy of the 2$S$ state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. contribution 0.96 0.96 0.08 asserted 0.96
s1 Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set, for purposes of doing the dispersion integrals. method 0.99 0.92 0.02 asserted 0.99
s2 Our result is that the energy of the 2$S$ state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation. result 1.00 0.95 0.94 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from simulation or computation 0.64.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set, for purposes of doing the dispersion integrals. Our result is that the energy of the 2$S$ state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation.

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5 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Uses its method or tool 1 paper
Cites it as background 2 papers
  • It is worth noting that while there has been considerable activity recently devoted to the theoretical evaluation of $δ_TPE$ in light muonic atoms [ref] , the variety of few-body methods used in ab initio nuclear physics have yet to confront the computation of nuclear Zemach moments and similar observables.

    Zemach moments and radii of 2,3H and 3,4He · Introduction · 0.89

  • A calculation of $E_TPE$ in $μ^3$He$^+$ using the experimentally measured inelastic structure functions was performed by [ref] , but with large uncertainties.

    Comprehensive theory of the Lamb shift in light muonic atoms · TPE in $μ$He$^+$ · 0.81

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