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We investigate the finite nuclear mass corrections in the helium atom in order to resolve a significant disagreement between the $2^3S - 2^3P$ and $2^3S - 2^1S$ transition isotope shifts. These two transitions lead to discrepant results for…

Atomic Physics · Physics 2017-01-31 V. Patkos , V. A. Yerokhin , K. Pachucki

We present a detailed investigation of the leading-order $m\alpha^5$ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio…

Atomic Physics · Physics 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

We consider three-loop corrections to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with virtual light-by-light scattering block. These diagrams produce both recoil and nonrecoil contributions to hyperfine…

High Energy Physics - Phenomenology · Physics 2014-02-05 Michael I. Eides , Valery A. Shelyuto

We present results for the corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium. We compute all the contributing Feynman diagrams in dimensional regularization and a general covariant gauge using a mixture of…

High Energy Physics - Phenomenology · Physics 2015-03-17 Jorge Mondejar , Jan H. Piclum , Andrzej Czarnecki

This study is focused on the break-up and electromagnetic response of light weakly-bound dicluster nuclei. The cluster picture in the case of $ ^7$Li is shown to be a very good approximation and in this framework we calculate nuclear…

Nuclear Theory · Physics 2009-11-07 Lorenzo Fortunato

The "recoil" correction of order $m \alpha^6$ to the hyperfine splitting of positronium ground state was found. The formalism employed is based on the noncovariant perturbation theory in QED. Equation for two-particle component of full…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. P. Burichenko

To continue from our previous work Phys.Rev.D 109(2024),073007, we derive the full Standard Model prediction of the most general free neutron differential decay rate with all massive particles (neutron, proton and electron) polarized,…

High Energy Physics - Phenomenology · Physics 2024-08-07 Chien-Yeah Seng

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

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

We present the first quantum mechanical study of hyperfine effects in the rotational cluster states of a symmetric triatomic molecule H$_2$S. Rotational clusters arise from spontaneous symmetry breaking induced by high-angular-momentum…

Atomic and Molecular Clusters · Physics 2025-03-27 Andrey Yachmenev , Guang Yang

Recoil corrections to the atomic decay rate are considered in the order of Zm/M . The expressions are treated exactly without any expansion over Z alpha. The expressions obtained are valid both for muonic atoms (for which they contribute on…

Atomic Physics · Physics 2009-10-30 Savely G. Karshenboim

An electron density functional approach for the calculation of the nuclear multipole moments is presented. The electronic matrix elements entering the experimentally observed hyperfine electron-nucleus interaction constants in atoms are…

Nuclear Theory · Physics 2007-05-23 R. L. Pavlov , P. P. Raychev , V. P. Garistov , M. Dimitrova-Ivanovich , J. Maruani

The low-energy theorem for the forward Compton scattering is generalized to the case of an arbitrary target spin. The generalization is used to calculate the corresponding contribution to the deuterium hyperfine structure. The…

Nuclear Theory · Physics 2009-10-28 I. B. Khriplovich , A. I. Milstein , S. S. Petrosyan

We illustrate how nuclear polarization corrections in muonic atoms can be formally connected to inelastic response functions of a nucleus. We first discuss the point-nucleon approximation and then include finite-nucleon-size corrections. As…

Nuclear Theory · Physics 2014-08-05 Chen Ji , Nir Nevo Dinur , Sonia Bacca , Nir Barnea

Ultra-cold fermionic atoms, having two valence electrons, exhibit a distinctive internal state structure, wherein the nuclear spin becomes decoupled from the electronic degrees of freedom in the ground electronic state. Consequently, the…

State-dependent quantum electrodynamic corrections are evaluated for the hyperfine splitting of nS states for arbitrary principal quantum number n. The calculations comprise both the self-energy and the vacuum-polarization correction of…

Atomic Physics · Physics 2007-05-23 Ulrich D. Jentschura , Vladimir A. Yerokhin

The Uehling correction to the energy levels is presented in terms of the hypergeometric functions 2F1. This presentation allows to derived various asymptotics and approximations. Further applications of this method to other atomic…

Atomic Physics · Physics 2014-11-04 E. Yu. Korzinin , V. G. Ivanov , S. G. Karshenboim

Nuclear structure effects are essential for describing hyperfine splittings from high-precision atomic spectroscopy measurements. These effects are often parametrized by the effective or elastic Zemach radii, with their difference poorly…

Nuclear Theory · Physics 2025-09-03 Yilong Yang , Evgeny Epelbaum , Chen Ji , Pengwei Zhao

We calculate the second-order corrections to the atomic energy level shifts in ordinary and muonic deuterium due to virtual excitations of the deuteron which are important for ongoing and planned precise experiments in these systems. For…

Nuclear Theory · Physics 2009-10-22 Yang Lu , R. Rosenfelder

To date, the magnetic structure of nuclei has been poorly constrained, with limited information on its spatial distribution. In this work, we address the composition and distribution of nuclear magnetization in a precision study of…

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