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We investigate whether the apparent discrepancy between proton electric form factor from measurements using the Rosenbluth separation technique and polarization transfer method is due to the standard approximations employed in radiative…

High Energy Physics - Phenomenology · Physics 2009-12-30 Florian Weissbach , Kai Hencken , Dirk Trautmann , Ingo Sick

We report the results of a new global QCD analysis including deep-inelastic scattering data off $^1$H, $^2$H, $^3$H, and $^3$He targets. Nuclear corrections are treated in terms of a nuclear convolution approach with off-shell bound…

High Energy Physics - Phenomenology · Physics 2023-06-14 S. I. Alekhin , S. A. Kulagin , R. Petti

The fully relativistic theory of the Zeeman splitting of the $1s$ hyperfine structure levels in hydrogenlike ions is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections to the Breit -- Rabi…

Classical Physics · Physics 2009-11-11 D. L. Moskovkin , V. M. Shabaev

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

We obtain a model-independent prediction for the two-photon exchange contribution to the hyperfine splitting in muonic hydrogen. We use the relation of the Wilson coefficients of the spin-dependent dimension-six four-fermion operator of…

Nuclear Theory · Physics 2017-05-24 Clara Peset , Antonio Pineda

The nuclear recoil effect on the g factor of highly charged Li-like ions is evaluated in the range Z=10-92. The calculations are performed using the 1/Z perturbation theory. The one-electron recoil contribution is evaluated within the fully…

Atomic Physics · Physics 2018-10-02 V. M. Shabaev , D. A. Glazov , A. V. Malyshev , I. I. Tupitsyn

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

Nuclear deformation effects are theoretically investigated in terms of deformation corrections of the electronic binding and transition energies, $g$ factor, and hyperfine splitting constant. By solving the Dirac equation twice, with the…

Atomic Physics · Physics 2023-09-15 Zewen Sun , Igor A. Valuev , Natalia S. Oreshkina

We consider radiative corrections to polarization observables in elastic electron-proton scattering, in particular, for the polarization transfer measurements of the proton form factor ratio $\mu G_E/G_M$. The corrections are of two types:…

High Energy Physics - Phenomenology · Physics 2014-08-27 Dmitry Borisyuk , Alexander Kobushkin

We calculate the two-photon exchange corrections to electron-proton scattering with nucleon and $\Delta$ intermediate states. The results show a dependence on the elastic nucleon and nucleon-$\Delta$-transition form factors used as input…

High Energy Physics - Phenomenology · Physics 2015-01-29 I. T. Lorenz , Ulf-G. Meißner , H. -W. Hammer , Y. -B. Dong

The hyperfine structures of the $2\,^3\!S_1$ and $2\,^3\!P_J$ states of the $^7$Be$^{2+}$ and $^9$Be$^{2+}$ ions are investigated within the framework of the nonrelativistic quantum electrodynamics (NRQED). The uncertainties of present…

The influence of nuclear polarization on the bound-electron $g$ factor in heavy hydrogenlike ions is investigated. Numerical calculations are performed for the K- and L-shell electrons taking into account the dominant virtual nuclear…

Atomic Physics · Physics 2009-11-07 A. V. Nefiodov , G. Plunien , G. Soff

Nuclear-structure effects often provide an irreducible theory error that prevents using precision atomic measurements to test fundamental theory. We apply newly developed effective field theory tools to Hydrogen atoms, and use them to show…

High Energy Physics - Phenomenology · Physics 2021-02-03 C. P. Burgess , P. Hayman , Markus Rummel , László Zalavári

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and $^{205}$Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle…

Atomic Physics · Physics 2007-05-23 A. A. Elizarov , V. M. Shabaev , N. S. Oreshkina , I. I. Tupitsyn

Quantum stabilization of superheavy elements is quantified in terms of the shell-correction energy. We compute the shell correction using self-consistent nuclear models: the non-relativistic Skyrme-Hartree-Fock approach and the relativistic…

Nuclear Theory · Physics 2009-11-07 M. Bender , W. Nazarewicz , P. -G. Reinhard

The finite nuclear size corrections to the relativistic recoil effect in H-like ions are calculated within the Breit approximation. The calculations are performed for the $1s$, $2s$, and $2p_{1/2}$ states in the range $Z =$ 1-110. The…

Atomic Physics · Physics 2015-11-17 I. A. Aleksandrov , A. A. Shchepetnov , D. A. Glazov , V. M. Shabaev

Parity-violating electron-scattering provides a largely model independent way of measuring neutron densities in nuclei that has important implications for the structure of nuclei and neutron stars. In this paper we calculate radiative…

Nuclear Theory · Physics 2026-03-25 Brendan T. Reed , C. J. Horowitz

We explore how nuclear modifications to the free nucleon structure functions (also known as shadowing) affect heavy quark production in collisions at different impact parameters. We assume that the nuclear modifications arise from a density…

Nuclear Theory · Physics 2014-11-18 V. Emel'yanov , A. Khodinov , S. R. Klein , R. Vogt

Measuring the 2S-2P Lamb shift in a hydrogen-like muonic atom allows one to extract its nuclear charge radius with a high precision that is limited by the uncertainty in the nuclear structure corrections. The charge radius of the proton…

Nuclear Theory · Physics 2016-05-03 N. Nevo Dinur , C. Ji , S. Bacca , N. Barnea

Future metrology standards will be partly based on physical quantities computed from first principles rather than measured. In particular, a new pressure standard can be established if the dynamic polarizability of helium can be determined…