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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

Comparison of high accuracy calculations with precision measurement of the 413 nm tune-out wavelength of the He($2\,^3S_1$) state provides a unique test of quantum electro-dynamic (QED). We perform large-scale…

Quantum electrodynamical (QED) calculations of ionization energies of the $1snd\,D$ states are performed for the helium atom. We reproduce the previously known relativistic and QED effects up to order $m\alpha^5$ and extend the theory by…

Atomic Physics · Physics 2020-07-14 Vladimir A. Yerokhin , Vojtěch Patkóš , Mariusz Puchalski , Krzysztof Pachucki

Probabilties of formation of various hydrogenic species during the exothermic nuclear $(n,{}^3$He$;t,p)-$reaction of atomic helium-3 with slow neutrons are determined. In particular, we have found that the probability to form the tritium…

Nuclear Theory · Physics 2015-05-27 Alexei M. Frolov , David M. Wardlaw

The analytical calculation of the complete $\alpha\,(Z\,\alpha)^6$ one-loop radiative correction to energies of two-body systems with the angular momenta $l>0$, consisting of a pointlike particle and an extended-size nucleus with arbitrary…

Atomic Physics · Physics 2024-08-13 Vojtěch Patkóš , Krzysztof Pachucki

Accurate spectroscopic measurements of calculable systems provide a powerful method for testing the Standard Model and extracting fundamental constants. Recently, spectroscopic measurements of finite nuclear size effects in normal and…

Atomic Physics · Physics 2023-06-06 Y. van der Werf , K. Steinebach , R. Jannin , H. L. Bethlem , K. S. E. Eikema

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

We report high-precision calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms to the first order in the electron-nucleus mass ratio and to all orders in the nuclear binding strength parameter $Z\alpha$. The…

Atomic Physics · Physics 2015-12-15 V. A. Yerokhin , V. M. Shabaev

The m\alpha^6(m/M) order corrections to the hyperfine splitting in the H_2^+ ion are calculated. That allows to reduce uncertainty in the frequency intervals between hyperfine sublevels of a given rovibrational state to about 10 ppm.…

Atomic Physics · Physics 2009-05-12 V. I. Korobov , L. Hilico , J. -Ph. Karr

We present a variational approach to evaluate relativistic corrections of order \alpha^2 to the Bethe logarithm for the ground electronic state of the Coulomb two center problem. That allows to estimate the radiative contribution at…

Atomic Physics · Physics 2014-02-11 Vladimir I. Korobov , Laurent Hilico , Jean-Philippe Karr

The neutron-rich 6He and 8He isotopes exhibit an exotic nuclear structure that consists of a tightly bound 4He-like core with additional neutrons orbiting at a relatively large distance, forming a halo. Recent experimental efforts have…

Nuclear Experiment · Physics 2015-06-16 Z. -T. Lu , P. Mueller , G. W. F. Drake , W. Noertershaeuser , Steven C. Pieper , Z. -C. Yan

Radiative corrections to the decay rate of n=2 states of hydrogenic ions are calculated. The transitions considered are the M1 decay of the 2s state to the ground state and the E1(M2) decays of the $2p_{1/2}$ and $2p_{3/2}$ states to the…

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

Nuclear-polarizability corrections that go beyond unretarded-dipole approximation are calculated analytically for hydrogenic (atomic) S-states. These retardation corrections are evaluated numerically for deuterium and contribute -0.68 kHz,…

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

Highly precise variational calculations of non-relativistic energies of the (2p^2)^3P^e state of Helium atom are presented.We get an upper bound energy E=-0.71050015565678 a.u.,the lowest yet obtained.

Atomic Physics · Physics 2009-11-10 Tapan K. Mukherjee , Prasanta K. Mukherjee

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

A general quantum electrodynamic method for derivation of nuclear recoil corrections in hydrogenic systems, which are exact in the nuclear charge parameter $Z\,\alpha$, is introduced. The exemplary derivation is presented for the $O(m/M)$…

Atomic Physics · Physics 2024-05-21 Krzysztof Pachucki

The total energies and various bound state properties of the excited $2^1S(L = 0)-$states in two-electron helium atoms, including the ${}^{\infty}$He, ${}^4$He and ${}^3$He atoms, are determined to very high numerical accuracy. The…

Atomic Physics · Physics 2011-02-28 Alexei M. Frolov , David M. Wardlaw

We compute E1 transitions and electric radii in the Beryllium-11 nucleus using an effective field theory that exploits the separation of scales in this halo system. We fix the leading-order parameters of the EFT from measured data on the…

Nuclear Theory · Physics 2012-08-16 H. -W. Hammer , D. R. Phillips

We compute the next-to-leading order corrections of $O(\alpha_s^2\alpha^3)$ to the hadronic production of two oppositely charged leptons and two hard jets, $p p \to j j l^- l^+$, using Recola and Collier. We include electroweak and QCD…

High Energy Physics - Phenomenology · Physics 2015-06-23 Ansgar Denner , Lars Hofer , Andreas Scharf , Sandro Uccirati

We measure the absolute frequency of seven out of the nine allowed transitions between the 2$^3${\it S} and 2$^3${\it P} hyperfine manifolds in a metastable $^3$He beam by using an optical frequency comb synthesizer-assisted spectrometer.…