Hyperfine structure of 
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 states in muonic ions of lithium, beryllium, and boron

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

doi:10.1103/physreva.98.042501

Cited by 12 publications

(9 citation statements)

References 35 publications

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“…A similar electron-nucleus 2γ interaction contributes to the coefficient c. In the case of muonic lithium, beryllium and boron ions, it was studied in [55]. Using the results of [55] (see equation ( 25)), we represent the contribution to c by the following formula:…”

Section: Nuclear Structure and Recoil Correctionmentioning

confidence: 99%

Ground state hyperfine structure of light muon-electron ions

Faustov,

Korobov,

Martynenko

et al. 2022

Preprint

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The ground state hyperfine splitting of light muon -electron ions of lithium, beryllium, boron and helium is calculated on the basis of analytical perturbation theory in terms of small parameters of the fine structure constant and electron -muon mass ratio. The corrections of vacuum polarization, nuclear structure and recoil effects and electron vertex corrections are taken into account. The dependence of the corrections on the nucleus charge Z is studied. The obtained total values of hyperfine splitting intervals can be used for comparison with future experimental data.

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Section: Nuclear Structure and Recoil Correctionmentioning

confidence: 99%

Ground state hyperfine structure of light muon-electron ions

Faustov,

Korobov,

Martynenko

et al. 2022

Preprint

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“…In the practical use of (31) - (32) , it is convenient to single out the contributions of the symmetric and antisymmetric parts of the projection operators. The general structure of the amplitudes and interaction potentials of particles in these states has the same form as (13), (17), (21), (22), and the intervals of the hyperfine structure themselves are determined by formulas similar to (23):…”

Section: General Formalismmentioning

confidence: 99%

“…The program of experiments with light muonic atoms was discussed many years ago in [14,15], where the estimation of different energy intervals in the leading order was performed. In our recent papers [16,17] we calculated some corrections to the Lamb shift (2P-2S) and hyperfine splitting of S-states in muonic lithium, beryllium and boron and obtain more precise values of these energy intervals. This work continues our investigation in [16,17] to the case of P-wave part of the spectrum.…”

Section: Introductionmentioning

confidence: 99%

“…In our recent papers [16,17] we calculated some corrections to the Lamb shift (2P-2S) and hyperfine splitting of S-states in muonic lithium, beryllium and boron and obtain more precise values of these energy intervals. This work continues our investigation in [16,17] to the case of P-wave part of the spectrum. The account of hyperfine structure of P-levels is also necessary because experimental transition frequencies are measured between different components of 2P and 2S states.…”

Section: Introductionmentioning

confidence: 99%

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Hyperfine structure of P states in muonic ions of lithium, beryllium, and boron

Dorokhov¹,

Martynenko²,

Martynenko³

et al. 2019

Phys. Rev. A

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We calculate hyperfine structure intervals ∆E hf s (2P 1/2 ) and ∆E hf s (2P 3/2 ) for P-states in muonic ions of lithium, beryllium and boron. To construct the particle interaction operator in momentum space we use the tensor method of projection operators on states with definite quantum numbers of total atomic momentum F and total muon momentum j. We take into account vacuum polarization, relativistic, quadruple and structure corrections of orders α 4 , α 5 and α 6 . The obtained numerical values of hyperfine splittings can be used for a comparison with future experimental data of the CREMA collaboration.

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“…Using the expression (41), you can perform analytical integration over all variables when calculating the matrix elements. For 1S and 3S states, the energy level shifts are equal:…”

Section: Corrections To the Nuclear Structure And Vacuum Polarizationmentioning

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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Hyperfine structure of S states in muonic ions of lithium, beryllium, and boron

Cited by 12 publications

References 35 publications

Ground state hyperfine structure of light muon-electron ions

Ground state hyperfine structure of light muon-electron ions

Hyperfine structure of P states in muonic ions of lithium, beryllium, and boron

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

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