Nuclear polarization in muonic helium

Rinker, George A.

doi:10.1103/physreva.14.18

Cited by 67 publications

(45 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Rinker(1976) [217] Borie, Rinker(1978) [218] [211,212] 0.0232 (15) Faustov,Martynenko(1999) [168] Nuclear structure correction of order (Zα) 5 Startsev,Petrun'kin, Khomkin(1976) [172] Rosenfelder(1999) [159] Faustov,Martynenko(1999) [168] Pachucki(1999) [212] − 0.095 (18) n 3 δ l0 0.012 (2) Nuclear size correction of order (Zα) 6 Borisoglebsky, Trofimenko(1979) [164] Friar(1979) [165] − < ln The theory of the atomic energy levels developed in the previous sections is incomplete, since we systematically ignored the nuclear spin which leads to an additional splitting of the energy levels. This effect will be the subject of our discussion below.…”

Section: Fig 63 Electron Polarization Corrections To the Leading Numentioning

confidence: 99%

Theory of light hydrogenlike atoms

2001

View full text Add to dashboard Cite

The present status and recent developments in the theory of light hydrogenic atoms, electronic and muonic, are extensively reviewed. The discussion is based on the quantum field theoretical approach to loosely bound composite systems. The basics of the quantum field theoretical approach, which provide the framework needed for a systematic derivation of all higher order corrections to the energy levels, are briefly discussed. The main physical ideas behind the derivation of all binding, recoil, radiative, radiative-recoil, and nonelectromagnetic spin-dependent and spin-independent corrections to energy levels of hydrogenic atoms are discussed and, wherever possible, the fundamental elements of the derivations of these corrections are provided. The emphasis is on new theoretical results which were not available in earlier reviews. An up-to-date set of all theoretical contributions to the energy levels is contained in the paper. The status of modern theory is tested by comparing the theoretical results for the energy levels with the most precise experimental results for the Lamb shifts and gross structure intervals in hydrogen, deuterium, and helium ion He + , and with the experimental data on the hyperfine splitting in muonium, hydrogen and deuterium. *

show abstract

Section: Fig 63 Electron Polarization Corrections To the Leading Numentioning

confidence: 99%

Theory of light hydrogenlike atoms

2001

View full text Add to dashboard Cite

show abstract

“…One way to calculate δ pol is to use inputs from measurements of photo-absorption cross sections and quasielastic scattering data. However, the applications of this approach in μD [10] and μ 4 He + [11][12][13] do not provide the accuracy desired by the Lamb shift measurements. The highaccuracy requirement can be achieved alternatively through calculations using state-of-the-art nuclear potentials.…”

Section: Introductionmentioning

confidence: 99%

Understanding the proton radius puzzle: Nuclear structure effects in light muonic atoms

Chen¹,

Hernandez²,

Dinur³

et al. 2016

EPJ Web of Conferences

View full text Add to dashboard Cite

show abstract

“…Higher order iterations of the Ohling potential (corrections to perturbation theory) contribute 0.049 MeV. The contribution of order ~2 Z~ was computed using two completely different methods (as in [8,9]); the results are in good agreement, so that we are confident in the correctness of this contribution.…”

mentioning

confidence: 95%

“…* This work was supported in part by the US Department of Energy The feasibility of a measurement of the 3p-3 d transitions in muonic helium motivated us to use our previous experience in calculating the 2p-2s transitions [7][8][9] to calculate the transition energies to the required level of precision.…”

mentioning

confidence: 99%

Calculation of the 3p-3d transitions in muonic helium

Borie

Rinker

1980

Z Physik A

Self Cite

View full text Add to dashboard Cite

The energy splittings of the 3 p and 3 d states of muonic helium have been calculated. The theoretically predicted transition energies should be useful in connection with a proposed laser resonance experiment.Present experimental tests of QED (anomalous mag netic moment of the electron I-1] and muon 1-2], the Lamp shift in hydrogen [3], x-rays from high and medium Z muonic atoms [-4] and the 2p-2s transitions in muonic helium [5]) are consistent with QED calculations of vacuum polarization to an accuracy of about 0.2 %. The limitations on the accuracy of such tests are primarily determined not by the experimental errors but rather by uncertainties in the theoretical calculations (the Lamb shift in hydrogen), in the parameters of the theory (the fine structure constant) or by contributions from the strong interaction (muon anomalous magnetic moment, charge radius of hydrogen or helium, etc.). Recently a proposal 1-6] has been made to avoid these difficulties by marking a precision measurement of the 3d3/2-3p3/2 and 3d5/2-3p3/2 transition frequencies in muonic helium. By making measurements on states having high orbital angular momentum, where the contributions of the extended nuclear charge distribution and nuclear polarizability are nearly negligible, it is hoped that the vacuum polarization calculation can be tested to substantially higher accuracy.

show abstract

Nuclear polarization in muonic helium

Cited by 67 publications

References 57 publications

Theory of light hydrogenlike atoms

Theory of light hydrogenlike atoms

Understanding the proton radius puzzle: Nuclear structure effects in light muonic atoms

Calculation of the 3p-3d transitions in muonic helium

Contact Info

Product

Resources

About