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

Krutov, A. A.; Martynenko, A. P.; Martynenko, F. A.; Sukhorukova, O. S.

doi:10.1103/physreva.94.062505

Cited by 33 publications

(20 citation statements)

References 62 publications

(132 reference statements)

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“…Further results, obtained under the assumption of the spherical nuclear shapes, but for Gaussian and the so-called exponential charge distributions, can be found in [3]. We note that the Lamb shift calculations are usually performed under the assumption of the spherical nuclear shapes-see, e.g., [4], where such calculations were done for Gaussian and Lorentzian (called "dipole" in [4]) charge distributions.…”

Section: Introductionmentioning

confidence: 91%

The Possibility of Measuring Nuclear Shapes by Using Spectral Lines of Muonic Ions

Oks

2018

Atoms

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We analytically calculated the shift of spectral lines of hydrogenlike ions for non-spherical nuclear shapes, such as the oblate or prolate ellipsoid of revolution. We show that the allowance for the ellipsoidal nuclear shape can change the shift of spectral lines of muonic hydrogenlike ions by several times compared to the corresponding shift for spherical nuclei. This can serve as an additional method for the experimental determination of the quadrupole moment of nuclei and of the standard beta-parameter related to the quadrupole moment.

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Section: Introductionmentioning

confidence: 91%

The Possibility of Measuring Nuclear Shapes by Using Spectral Lines of Muonic Ions

Oks

2018

Atoms

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“…This order of contribution suggests that the numerical values of the corrections can be significant. The modification of the Breit potential due to the one-loop vacuum polarization is determined in the case of S-states by the following terms (the superscript B denotes the Breit potential) [23,34,35]:…”

Section: Effects Of Vacuum Polarization and Relativistic Correctmentioning

confidence: 99%

“…Finally, the third term from (25) gives, in the second order, the correction for recoil, which we represent in integral form as (32), (33), (34), (35): Since the contribution of the interaction in Fig. 5(c) has the order α 2 (Zα) 2 , then the addition of one VP loop leaves such a correction potentially important.…”

Section: Gg a Bmentioning

confidence: 99%

Energy Interval 1S–2S in Muonic Hydrogen and Helium

Dorokhov

Martynenko

et al. 2019

J. Exp. Theor. Phys.

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The energy interval (3S − 1S) in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of orders α 3 ÷ α 6 , which are determined by relativistic effects, the effects of vacuum polarization, nuclear structure and recoil, as well as combined corrections including the above. Nuclear structure effects are expressed in terms of the charge radius of the proton in the case of one-photon interaction and the proton electromagnetic form factors in the case of two-photon exchange interaction. The value of the energy interval (3S − 1S) can be used for a comparison with future experimental data and determining the proton charge radius with greater accuracy.

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“…The leading contribution to HFS of µp is coming from one-photon exchange and has the following form [19][20][21]:…”

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

Cited by 33 publications

References 62 publications

The Possibility of Measuring Nuclear Shapes by Using Spectral Lines of Muonic Ions

The Possibility of Measuring Nuclear Shapes by Using Spectral Lines of Muonic Ions

Energy Interval 1S–2S in Muonic Hydrogen and Helium

The proton size puzzle: experiment vs theory.

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