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Related papers: Ground state hyperfine structure in muonic lithium…

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Ground-state hyperfine splittings in hydrogen and muonium are very well measured. Their difference, after correcting for magnetic moment and reduced mass effects, is due solely to proton structure--the large QED contributions for a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , C. E. Carlson , J. R. Hiller , D. S. Hwang

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

We present a detailed derivation of the QED effects of order $\alpha^7\,m$ to the hyperfine structure (hfs) of the $^3S$ states of helium-like ions and perform numerical calculations for $^6$Li$^+$ and $^7$Li$^+$. By comparing the…

Atomic Physics · Physics 2023-10-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

There is renewed interest in studies of muonic atoms, which may provide detailed information on nuclear structure. A major limiting factor in the interpretation of measurements is the nuclear polarization contribution. We propose a method…

Atomic Physics · Physics 2025-06-25 J. Vandeleur , G. Sanamyan , O. R. Smits , I. A. Valuev , N. S. Oreshkina , J. S. M. Ginges

The hyperfine structure splittings are determined for the lowest bound state in the positron-helium ion $e^{+}[^3$He$(2^3S)]$ and $e^{+}[^4$He$(2^3S)]$. In particular, we have fond that for the $e^{+}[{}^3$He$(2^3S)]$ ion one can observe…

Atomic Physics · Physics 2012-12-21 Alexei M. Frolov

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the electron factor. The contribution generated by electron polarization insertions is a cubic…

High Energy Physics - Phenomenology · Physics 2011-05-12 Michael I. Eides , Valery A. Shelyuto

In the framework of the quasipotential method we calculate the contributions of the kind (Z\alpha)^6m_e^2/m_\mu to the energy spectrum of the muonium n^3S_1 states. Numerical value of obtained correction for 2^3S_1-1^3S_1 muonium fine…

High Energy Physics - Phenomenology · Physics 2011-08-11 R. N. Faustov , A. P. Martynenko

The hyperfine structure of the ground states in a number of positronium hydrides (TPs, DPs, ${}^{1}$HPs) and MuPs ($\mu^{+} e^{-}_2 e^{+}$) is determined with the use of highly accurate variational wave functions. We also evaluate the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Alexei M. Frolov , David M. Wardlaw

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the 2S state in the muonic hydrogen. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. P. Martynenko

We present a new independent evaluation of the hadronic and QCD contributions to the QED running coupling \alpha(M_Z) and to the muonium hyperfine splitting \nu. We obtain: \Delta\alpha_{had}=2770(17)10^{-5} and \Delta\nu_{had}=232.5(2.5)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephan Narison

A large-scale relativistic configuration-interaction (CI) calculation is performed for the magnetic-dipole and the electric-quadrupole hyperfine structure splitting in ^{7,6}Li and ^9Be^+. Numerical results for the 2^2S, 3^2S, 2^2P_{1/2},…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin

We investigate the energy levels of heteronuclear alkali metal dimers in levels correlating with the lowest rotational level of the ground electronic state, which are important in efforts to produce ground-state ultracold molecules. We use…

Atomic Physics · Physics 2009-11-13 J. Aldegunde , Ben A. Rivington , Piotr S. Żuchowski , Jeremy M. Hutson

We consider the proton structure corrections to hydrogen ground-state hyperfine structure, focusing on a state-of-the-art evaluation of the inelastic nucleon corrections--the polarizability corrections--using analytic fits to the most…

Atomic Physics · Physics 2009-11-13 Carl E. Carlson

The ground state hyperfine splitting values and the transition probabilities between the hyperfine structure components of high Z lithiumlike ions are calculated in the range $Z=49-83$. The relativistic, nuclear, QED and interelectronic…

A calculation of the one-loop self-energy and vacuum-polarization corrections to the hyperfine splitting of the 1s and 2s states in light H-like ions is carried out to all orders in the parameter Z \alpha. Using the known values for the Z…

Atomic Physics · Physics 2009-11-11 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev , G. Plunien

The hyperfine structure (hfs) of electron levels of $^{238}_{92}$U ions with the nucleus excited in the low-lying rotational $2^+$ state with an energy $E_{2^+} = 44.91$ keV is investigated. In hydrogenlike uranium, the hfs splitting for…

Quantum Physics · Physics 2009-10-31 L. N. Labzowsky , A. V. Nefiodov , G. Plunien , G. Soff , D. Liesen

The ground-state hyperfine splitting values of high-Z boronlike ions are calculated. Calculation of the interelectronic-interaction contribution is based on a combination of the 1/Z perturbation theory and the large-scale…

Atomic Physics · Physics 2009-11-13 N. S. Oreshkina , D. A. Glazov , A. V. Volotka , V. M. Shabaev , I. I. Tupitsyn , G. Plunien

The contribution of the weak interaction to the hyperfine splitting of the ground state of muonium is investigated. The amplitudes of the one- and two-quantum exchange determined by the Z and W bosons are calculated. One-loop corrections in…

High Energy Physics - Phenomenology · Physics 2026-03-05 F. A. Martynenko , A. P. Martynenko , K. A. Seredina

We calculate the nuclear-structure correction to the hyperfine splitting in both electronic and muonic deuterium using interactions from chiral effective field theory. We explore the sensitivity to different parameterizations of the…

Nuclear Theory · Physics 2025-08-27 Jose Bonilla , Thomas R. Richardson , Sonia Bacca , Chen Ji , Lucas Platter

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD…

Atomic Physics · Physics 2017-02-01 Henry Lamm