Chiral perturbation theory of hyperfine splitting in muonic hydrogen

Hagelstein, Franziska; Pascalutsa, Vladimir

doi:10.22323/1.253.0077

Cited by 22 publications

(28 citation statements)

References 21 publications

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“…Obtained value (4) allows to get the value of the Zemach radius (8) with accuracy 3.4 % with help of relation (6). This is in the agreement with another numerical values r Z = 1.086 (12) fm [37], r Z = 1.045(4) fm [38], r Z = 1.047 (16) fm [39], r Z = 1.037 (16) fm [40] obtained from electron-proton scattering and from H and muonium spectroscopy. We should emphasize that the changing of the theoretical value of HFS on 0.001 meV leads to the changing of the Zemach radius on 0.006 fm.…”

Section: Resultssupporting

confidence: 91%

“…From the theory side it is urgently needed to study the possible effects of exchanges between muon and proton which can contribute to HFS of µp. Some of such effects was considered in recent papers [13][14][15][16][17][18]. Below, we discuss the effects of exchanges between muon and proton which can contribute to HFS of µp coming from the light pseudoscalar (PS) and axial-vector (AV) meson exchanges between muon and proton induced by meson coupling to muon through two photons (see Fig.…”

Section: Light Meson Exchange Contributions To Hfs Of µPmentioning

confidence: 99%

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The proton size puzzle: experiment vs theory.

Dorokhov¹,

Martynenko

et al. 2018

EPJ Web Conf.

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Current status of the proton size puzzle from experimental and theoretical points of view is briefly discussed. The interest to these studies is primarily related to experiments conducted by the CREMA collaboration (Charge Radius Experi- ments with Muonic Atoms) with muonic hydrogen and deuterium by methods of laser spectroscopy. As a result a more accurate value of the proton charge radius was found to be rp = 0:84184(67) fm, which is different from the value recommended by CODATA for 7σ. In the second part we discuss recent calculations of the contribution of light pseudoscalar (PS) and axial-vector (AV) mesons to the interaction operator of a muon and a proton in muonic hydrogen atom, with the coupling of mesons to the muon being via two-photon intermediate state. Numerical estimates of the contributions to the hyperfine structure of the spectrum of the S and P levels are presented. It is shown that such contribution to the hyperfine splitting in muonic hydrogen is rather important for a comparison with precise experimental data.

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Section: Resultssupporting

confidence: 91%

Section: Light Meson Exchange Contributions To Hfs Of µPmentioning

confidence: 99%

The proton size puzzle: experiment vs theory.

Dorokhov¹,

Martynenko

et al. 2018

EPJ Web Conf.

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“…The calculation of the transition form factor (TFF) of two photons into a meson can be performed within the framework of nonperturbative quantum chromodynamics. In this work we continue our investigations [5][6][7][8][9] (see also [10][11][12][13][14]) of the role of one-meson exchange interactions in muonic hydrogen (µp).…”

Section: Introductionmentioning

confidence: 88%

Effects of light-by-light scattering in the Lamb shift and hyperfine structure of muonic hydrogen

Dorokhov

Martynenko

et al. 2019

EPJ Web Conf.

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We calculate the meson exchange contribution to the interaction operator of muon and proton, which is determined by the meson coupling with two photon state. For the construction of transition form factor Meson → γγ we use the existing parametrizations based on experimental data including the monopole parametrization over photon four-momenta. For an estimate of the form factor value atzero photon four-momenta squared we use experimental data on the decay width ΓMeson→γγ. It is shown that scalar, pseudoscalar, axial vector and tensor mesons exchanges give significant contribution to the Lamb shift (LS) and hyperfine splitting (HFS) in muonic hydrogen which should be taken into account for a comparison with precise experimental data.

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“…In this case, the effect of two-photon interaction leads to the appearance of a meson exchange between the proton and the muon. The contribution of pseudoscalar mesons in the case of S-, P-states was calculated in [16,[40][41][42]. The contribution of axial vector mesons to the hyperfine structure of the S-state spectrum, which was calculated in [17], is significant.…”

Section: Contribution Of Axial Vector Mesons To Muon-proton Intementioning

confidence: 99%

Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

et al. 2018

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In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to r 2 N from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic hydrogen, as well as the photon-photon interaction amplitudes, leading to the exchange of the axial vector meson. In constructing the quasipotential of the muon-nucleus interaction, we use the method of projection operators on states of two particles with a definite spin and total angular momentum. Analytical calculation of the matrix elements is performed and contributions to the fine and hyperfine structure of the 2P 1/2 and 2P 3/2 levels are obtained.

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Chiral perturbation theory of hyperfine splitting in muonic hydrogen

Abstract: We present the leading-order prediction of baryon chiral perturbation theory for the proton polarizability contribution to the 2S hyperfine splitting in muonic hydrogen, and compare to the results of dispersive calculations.

Cited by 22 publications

References 21 publications

The proton size puzzle: experiment vs theory.

The proton size puzzle: experiment vs theory.

Effects of light-by-light scattering in the Lamb shift and hyperfine structure of muonic hydrogen

Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

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