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The fully relativistic theory of the Zeeman splitting of the $(1s)^2 2s$ hyperfine-structure levels in lithiumlike ions with $Z=6 - 32$ is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections…

Atomic Physics · Physics 2009-04-08 D. L. Moskovkin , V. M. Shabaev , W. Quint

Superallowed $0^+\rightarrow 0^+$ transitions between $T=1$ nuclei have been a perfect avenue avenue for determining the Cabibbo-Kobayashi-Maskawa matrix element $V_{ud}$, which imposes powerful constraints on physics beyond the Standard…

Nuclear Theory · Physics 2025-08-22 Chien-Yeah Seng

In the framework of instantaneous Bethe-Salpeter equation, according to the $J ^ {PC}$ of quarkonia, we find that their wave functions all contain multiple partial waves, rather than pure waves. In the radiative electromagnetic transitions…

High Energy Physics - Phenomenology · Physics 2024-08-29 Su-Yan Pei , Wei Li , Tianhong Wang , Guo-Li Wang

The paper compares the methods used to calculate matrix elements of the operator of radail electron coordinates in an arbitrary order in the Foldy-Wouthuysen representation and with the use of the Dirac equation for 1s-states of the…

General Physics · Physics 2010-03-29 V. P. Neznamov , A. A. Sadovoy , A. S. Ul'yanov

Unitarity corrections to several electromagnetic processes in collisions of relativistic heavy nuclei are considered. They are due to the unitarity requirement for the S-matrix and correspond to the exchange of light-by-light scattering…

High Energy Physics - Phenomenology · Physics 2008-12-18 U. D. Jentschura , K. Hencken , V. G. Serbo

The finite nuclear size correction to the bound-electron g factor in hydrogenlike atoms is investigated in the range Z=1-20. An analytical formula for this correction which includes the non-relativistic and dominant relativistic…

Atomic Physics · Physics 2009-11-07 D. A. Glazov , V. M. Shabaev

We explore the impact of radiative $\mu-\tau$ corrections on the renormalization of neutrino mass operators in the Type II Seesaw framework, incorporating both dimension-five and dimension-six operators. Using renormalization group…

High Energy Physics - Phenomenology · Physics 2025-05-14 Gayatri Ghosh

The both mass-dependent and field shift components of the isotopic shifts and the lowest order QED corrections for the ground (singlet) $1^1S(L = 0)-$states of the ${}^{3}$He and ${}^{4}$He atoms are determined to high accuracy. For the…

Atomic Physics · Physics 2015-06-19 Alexei M. Frolov

Radiative corrections are playing an increasingly significant role in low-energy nuclear physics. We investigate the influence of photons as explicit degrees of freedom within nuclear EFT on the deuteron binding energy, charge form factor,…

Nuclear Theory · Physics 2025-03-18 Immo C. Reis

Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$…

Atomic Physics · Physics 2019-01-02 Marcin Kalinowski , Krzysztof Pachucki , Vladimir A. Yerokhin

Relativistic corrections to the positronium decay rate are calculated. They are close to $40(\alpha /\pi)^2$ and $46(\alpha /\pi)^2$ for singlet and triplet states respectively.

High Energy Physics - Phenomenology · Physics 2007-05-23 I. B. Khriplovich , A. I. Milstein

Calculations of energy levels, radiative rates and lifetimes are reported for 17 F-like ions with 37 $\le$ Z $\le$ 53. For brevity, results are only presented among the lowest 113 levels of the 2s$^2$2p$^5$, 2s2p$^6$, 2s$^2$2p$^4$3$\ell$,…

Atomic Physics · Physics 2015-12-02 K M Aggarwal , F P Keenan

Changes in the mean-square nuclear charge radii along the lithium isotopic chain were determined using a combination of precise isotope shift measurements and theoretical atomic structure calculations. Nuclear charge radii of light elements…

In the framework of the non relativistic quark model, an exhaustive study of radiative transitions in mesons is performed. The emphasis is put on several points. Some traditional approximations (long wave length limit, non relativistic…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. Bonnaz , B. Silvestre-Brac , C. Gignoux

We propose and discuss a numerical use of our previous precision results for the radiative corrections to unpolarized spin one-half baryon semileptonic decays, which is not compromised to fixing the form factors at prescribed values. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ruben Flores-Mendieta , J. J. Torres , M. Neri , A. Martinez , A. Garcia

As shown in Ref.\cite{Rod09}, the Fermi nuclear matrix element $M^{0\nu}_F$ of neutrinoless double beta ($0\nu\beta\beta$) decay can be reconstructed if one is able to measure the isospin-forbidden single Fermi transition matrix element…

Nuclear Theory · Physics 2011-03-28 Vadim Rodin , Amand Faessler

We propose a systematic, model-independent treatment of electric dipole transitions of heavy quarkonium. Within an effective field theory, concretely potential non-relativistic QCD, the relativistic corrections of relative order $v^2$ to…

High Energy Physics - Phenomenology · Physics 2012-03-22 Piotr Pietrulewicz

The calculated nuclear matrix elements for the neutrinoless double-beta ($0\nu\beta\beta$) decay suffer from several limitations. Predicted matrix-element values depend on the many-body method used to calculate them and, in addition, they…

Nuclear Theory · Physics 2019-01-30 Javier Menéndez

We describe two recent developments of the radiative correction theory in semileptonic beta decays. For neutron, a novel dispersive analysis of the $\gamma W$-box diagram making use of neutrino scattering data leads to an improved precision…

High Energy Physics - Phenomenology · Physics 2022-04-15 Chien-Yeah Seng

Stark shifts of potassium and rubidium D1 lines have been measured with high precision by Miller et al [1]. In this work, we combine these measurements with our all-order calculations to determine the values of the electric-dipole matrix…

Atomic Physics · Physics 2009-11-13 Bindiya Arora , M. S. Safronova , Charles W. Clark