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In order to explain discrepancies between theoretical predictions and experimental data for the helium fine structure, we check and recalculate all theoretical contributions up to orders m\alpha^7 and m^2/M\alpha^6. The previous result for…

Atomic Physics · Physics 2015-05-13 K. Pachucki , V. A. Yerokhin

Transition frequencies and fine-structure splittings of the $2\,{}^3\!S_1 \rightarrow 2\,{}^3\!P_{\!J}$ transitions in helium-like $^{12}\mathrm{C}^{4+}$ were measured by collinear laser spectroscopy on a 1-ppb level. Accuracy is increased…

Within the complex-energy configuration interaction framework, we study correlations of valence neutrons to explain the behavior of charge radii in the neutron halo nuclei $^{6,8}$He. We find that the experimentally observed decrease of the…

Nuclear Theory · Physics 2015-05-30 G. Papadimitriou , A. T. Kruppa , N. Michel , W. Nazarewicz , M. Płoszajczak , J. Rotureau

A version of the Bethe-Salpeter equation appropriate for calculating recoil corrections in highly charged hydrogenlike ions is presented. The nucleus is treated as a scalar particle of charge Z, and the electron treated relativistically.…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. S. Adkins , J. Sapirstein

The $m \alpha^6$ correction to energy is expressed in terms of an effective Hamiltonian $H^{(6)}$ for an arbitrary state of helium. Numerical calculations are performed for $n=2$ levels, and the previous result for the $2^3P$ centroid is…

Atomic Physics · Physics 2009-11-13 Krzysztof Pachucki

Stimulated by the proton radius conundrum, measurements of the Lamb shift in various light muonic atoms are planned at PSI. The aim is to extract the rms charge radius with high precision, limited by the uncertainty in the nuclear…

Nuclear Theory · Physics 2013-11-06 Chen Ji , Nir Nevo Dinur , Sonia Bacca , Nir Barnea

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

In this paper the new type of thermal corrections for the helium and helium-like atomic systems are introduced. These are thermal one-photon exchange between the bound electrons and nucleus as well as between the bound electrons induced by…

Atomic Physics · Physics 2020-05-13 D. Solovyev , T. Zalialiutdinov , A. Anikin

Several new corrections of order $m\alpha^6$ to the energy levels of $S$ states in helium are obtained from radiative corrections to the Breit potential and from the polarization insertions in the two photon exchange graphs. While…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael I. Eides , Howard Grotch

Nuclear charge radii of $^{7,9,10,11}$Be have been determined by high-precision laser spectroscopy. On-line measurements were performed with collinear laser spectroscopy in the $2s_{1/2} \to 2p_{1/2}$ transition on a beam of Be$^{+}$ ions.…

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order $\alpha^7m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step…

High Energy Physics - Phenomenology · Physics 2021-02-16 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

Accurate calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms are presented. Numerical results are reported for the $ns$ states with $n \leq 5$ and for the $2p_{1/2}$ and $2p_{3/2}$ states. The calculations are…

Atomic Physics · Physics 2016-08-03 V. A. Yerokhin , V. M. Shabaev

The nuclear charge radius of Li-11 has been determined for the first time by high precision laser spectroscopy. On-line measurements at TRIUMF-ISAC yielded a Li-7 - Li-11 isotope shift (IS) of 25101.23(13) MHz for the Doppler-free 2s - 3s…

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

Radiative corrections to the decay rate in the low-Z hydrogen-like muonic atoms are considered. The correction arises from the Uehling potential and it has the relative order of alpha. The numerical results are reported for the 2p-1s…

Atomic Physics · Physics 2009-10-30 Savely G. Karshenboim , Vladimir G. Ivanov

The matrix element of a bound electron interacting with the nucleus through exchange of a Z boson is studied for the gauge invariant case of $2s_{1/2}-2p_{1/2}$ transitions in hydrogenic ions. The QED radiative correction to the matrix…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Sapirstein , K. Pachucki , A. Veitia , K. T. Cheng

Nuclear-size corrections of order $(Z \alpha)^5$ and $(Z \alpha)^6$ to the S-state levels of hydrogenic atoms are considered. These nuclear-elastic contributions are somewhat smaller than the polarizability (nuclear-inelastic) corrections…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , G. L. Payne

The effective Hamiltonian of $m\alpha^6$ and $m\alpha^6(m/M)$ order corrections for hydrogen molecular ions has been derived in [ Z.-X. Zhong, \emph{et al.}, Phys. Rev. A {\bf98}, 032502(2018).], in this work we express the energy…

Atomic Physics · Physics 2026-03-17 Zhen-Xiang Zhong , Ping Yang , Vladimir I. Korobov , Chun Li , Ting-Yun Shi

Hyperfine intervals in light hydrogenic atoms and ions are among the most accurately measured quantities in physics. The theory of QED corrections has recently advanced to the point that uncalculated terms for hydrogenic atoms and ions are…

Nuclear Theory · Physics 2014-11-18 J. L. Friar , G. L. Payne

The effect of a finite nuclear mass on the magnetic moment of the electron bound in the ground state of a hydrogen-like ion is analyzed. Using the exact in Z\alpha expression for the recoil shift of the energy, I calculate the order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Yelkhovsky