Hyperfine structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>states in muonic deuterium

Фаустов, Р. Н.; Martynenko, A. P.; Martynenko, G. A.; Sorokin, V. V.

doi:10.1103/physreva.90.012520

Cited by 34 publications

(50 citation statements)

References 69 publications

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“…The aim of the present work is to extend our previous calculations of the Lamb shift in muonic helium ions [31] on other muonic ions such as muonic lithium, muonic beryllium and muonic boron. We consistently calculate the contributions of orders α 3 ÷ α 6 within the framework of the quasipotential method in quantum electrodynamics [32][33][34][35]. It is important to know also the hyperfine splitting of levels for the evaluation of observed transition frequencies [8].…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

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

Krutov

Martynenko

et al. 2016

Phys. Rev. A

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“…Very recently, theory calculations in muonic deuterium [35,[54][55][56][57], and in particular the difficult deuteron polarizability effects [58][59][60][61][62] became accurate enough to determine a deuteron charge radius from our measurements in muonic deuterium. Again, we summarized these earlier works [63].…”

Section: Deuteron Radius From Muonic Deuteriummentioning

confidence: 99%

Laser Spectroscopy of Muonic Atoms and Ions

Pohl

Nez

Fernandes

et al. 2017

Proceedings of the 12th International Conference on Low Energy Antiproton Physics (LEAP2016)

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Laser spectroscopy of the Lamb shift (2S-2P energy difference) in light muonic atoms or ions, in which one negative muon µ − is bound to a nucleus, has been performed. The measurements yield significantly improved values of the root-mean-square charge radii of the nuclei, owing to the large muon mass, which results in a vastly increased muon wave function overlap with the nucleus. The values of the proton and deuteron radii are 10 and 3 times more accurate than the respective CODATA values, but 7 standard deviations smaller. Data on muonic helium-3 and -4 ions is being analyzed and will give new insights. In future, the (magnetic) Zemach radii of the proton and the helium-3 nuclei will be determined from laser spectroscopy of the 1S hyperfine splittings, and the Lamb shifts of muonic Li, Be and B can be used to improve the respective charge radii.

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“…To construct the interaction operator from two-photon exchange amplitudes with the account of radiative corrections we use a method of projection operators on two-particle states with definite spin S=0,1. The introduction of such projection operators allows further to use package Form [7] to calculate the trace of the product of the Dirac matrices and convolutions by Lorentz indices [8][9]. Numerical contributions of 2γ-amplitudes to HFS are obtained by means of the Gaussian and dipole parameterizations for the triton form factors.…”

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Hyperfine structure of S-states of muonic tritium

2016

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Abstract. On the basis of quasipotential method in quantum electrodynamics we carry out a precise calculation of hyperfine splitting of S-states in muonic tritium. The one-loop and two-loop vacuum polarization corrections, relativistic effects, nuclear structure corrections in first and second orders of perturbation theory are taken into account. The contributions to hyperfine structure are obtained in integral form and calculated analytically and numerically. Obtained results for hyperfine splitting can be used for a comparison with future experimental data of CREMA collaboration.A precise calculation of hyperfine splitting of S-states in muonic tritium atom is carried out. Muonic tritium consists of a triton and a negatively charged muon. Its lifetime is determined by the lifetime of the muon τ=2.19703940·μs. Measuring the frequency of transition (2P-2S) in muonic hydrogen, helium ions with an accuracy of 50 ppm will yield the value of the charge radius of the proton, deuteron, triton, helion and α-particle with an accuracy of 0.0005 fm [1,2]. For comparison between theory and experiment it is necessary to perform analytical and numerical calculation of the corrections of the fifth and sixth order over the fine structure constant in the hyperfine structure (HFS) of S-states of muonic tritium within the quasipotential method in quantum electrodynamics. Muon atoms differ from electron atoms that for them there is a wide class of corrections to the energy spectrum, which should be examined directly for each muon atom.On the basis of quasipotential method [3-5] the two-particle bound state is described by the Schrödinger equation. The main contribution to the interaction operator of a muon and triton is determined by the Breit Hamiltonian:

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Hyperfine structure ofSstates in muonic deuterium

Cited by 34 publications

References 69 publications

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

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

Laser Spectroscopy of Muonic Atoms and Ions

Hyperfine structure of S-states of muonic tritium

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