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We provide an accurate evaluation of the two-photon exchange correction to the hyperfine splitting of S energy levels in muonic hydrogen exploiting the corresponding measurements in electronic hydrogen. The proton structure uncertainty in…

High Energy Physics - Phenomenology · Physics 2018-02-14 Oleksandr Tomalak

The contribution of the proton polarizability to the ground state hyperfine splitting in muonic hydrogen is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. V. Cherednikova , R. N. Faustov , A. P. Martynenko

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium. These corrections are enhanced by the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared contributions…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

We revisit the $m \alpha^6 (m/M)$ order corrections to the hyperfine splitting in the H$_2^+$ ion, and find a hitherto unrecognized second-order relativistic contribution associated with the vibrational motion of the nuclei. Inclusion of…

We use complementary optical spectroscopy methods to directly measure the lowest crystal-field energies of the rare-earth quantum magnet LiY$_{1-x}$Ho$_{x}$F$_{4}$, including their hyperfine splittings, with more than 10 times higher…

Energy levels, hyperfine interaction constants, and Land\'e $g_J$-factors are reported for n=2 states in beryllium-, boron-, carbon-, and nitrogen-like ions from relativistic configuration interaction calculations. Valence, core-valence,…

Atomic Physics · Physics 2015-06-19 S. Verdebout , C. Nazé , P. Jönsson , P. Rynkun , M. Godefroid , G. Gaigalas

We consider the most accurate tests of bound state QED theory of the hyperfine splitting in two-body atoms related to the HFS interval of the 1s state in muonium and positronium and the 2s state in hydrogen, deuterium and the helium-3 ion.…

Atomic Physics · Physics 2007-05-23 S. Karshenboim , S. Eidelman , P. Fendel , V. G. Ivanov , N. Kolachevsky , V. Shelyuto , T. W. Haensch

Recent progress in laser and x-ray spectroscopy of muonic atoms offers promising long-term possibilities at the intersection of atomic, nuclear and particle physics. In muonic hydrogen, laser spectroscopy measurements will determine the…

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with electron and muon vacuum polarizations. We calculate single-logarithmic and nonlogarithmic contributions of order…

High Energy Physics - Phenomenology · Physics 2010-01-26 Michael I. Eides , Valery A. Shelyuto

Calculational results are presented for the fine-structure splitting of the 2^3P state of helium and helium-like ions with the nuclear charge Z up to 10. Theoretical predictions are in agreement with the latest experimental results for the…

Atomic Physics · Physics 2015-05-20 Krzysztof Pachucki , Vladimir A. Yerokhin

We present calculations of the hyperfine coupling constants for all the heteronuclear alkali-metal diatomic molecules at the equilibrium geometry of the electronic ground state. These constants are important in developing methods to control…

Atomic Physics · Physics 2017-11-01 J. Aldegunde , J. M. Hutson

It is shown that the non-relativistic ground state energy of helium-like and lithium-like ions with static nuclei can be interpolated in full physics range of nuclear charges $Z$ with accuracy of not less than 6 decimal digits (d.d.) or 7-8…

Atomic Physics · Physics 2017-11-27 Alexander V. Turbiner , Juan C. Lopez Vieyra , Horacio Olivares Pilon

We present the leading-order prediction of baryon chiral perturbation theory for the proton polarizability contribution to the 2S hyperfine splitting in muonic hydrogen, and compare with the results of dispersive calculations.

Nuclear Theory · Physics 2015-11-16 Franziska Hagelstein , Vladimir Pascalutsa

Formulas and expectation values which are need to determine the lowest-order QED corrections ($\sim \alpha^3$) and corresponding recoil (or finite mass) corrections in the two-electron helium-like ions are presented. Other important…

Atomic Physics · Physics 2015-09-22 Alexei M. Frolov

The electromagnetic interactions of electrons and muons can be described to very high accuracy within the framework of standard theory, in particular within the hydrogen-like muonium atom. Therefore precision measurements allow to test…

Atomic Physics · Physics 2016-09-08 Klaus Jungmann

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 energy levels of the $n=1$ and $n=2$ bound states of the $\mu^+\mu^-$ atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order $\alpha^5$ supplemented by the known…

High Energy Physics - Phenomenology · Physics 2025-05-09 Wayne W. Repko

Theoretical investigations of the hyperfine structure of the hydrogen molecular ion (one electron and two protons) are discussed. The nuclear spin-rotation interaction has been found to be of the same sign as in the hydrogen molecule and…

Atomic Physics · Physics 2008-02-03 J. F. Babb

QED theory of the hyperfine splitting of the $1s$ and $2s$ state in hydrogen isotopes and helium-3 ion is considered. We develop an accurate theory of a specific difference 8E_{HFS}(2s)-E_{HFS}(1s). We take into account fourth order…

High Energy Physics - Phenomenology · Physics 2009-11-07 Savely G. Karshenboim , Vladimir G. Ivanov

A method in which electromagnetic properties of hadrons are studied by direct simulation of dynamical photon effects is applied to the extraction of the isomultiplet structure of the octet baryons. Using 187 configurations at $\beta=5.7$…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker
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