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Related papers: Recoil corrections in the hydrogen isoelectronic s…

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The relativistic recoil contributions to the Uehling corrections are revisited. We consider a controversy in recent calculations based on different approaches including Breit-type and Grotch-type calculations. We have found that…

Atomic Physics · Physics 2013-05-30 Savely G. Karshenboim , Vladimir G. Ivanov , Evgeny Yu. Korzinin

The static dipole polarizability for the hydrogen molecular ions H$_2^+$, HD$^+$, and D$_2^+$ are calculated. These new data for polarizability takes into account the leading order relativistic corrections to the wave function of the…

Atomic Physics · Physics 2017-02-01 D. T. Aznabayev , A. K Bekbaev , S. A. Zhaugasheva , V. I. Korobov

We evaluate the O(alpha) QED corrections to the recoil electron energy spectrum in the process nu_l + e --> nu_l + e (+gamma), where (+gamma) indicates the possible emission of a photon and l=e, mu or tau. The soft and hard bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Passera

Within the lowest-order relativistic approximation ($\sim v^2/c^2$) and to first order in $m_e/M$, the tensorial form of the relativistic corrections of the nuclear recoil Hamiltonian is derived, opening interesting perspectives for…

Atomic Physics · Physics 2015-05-28 E. Gaidamauskas , C. Nazé , P. Rynkun , G. Gaigalas , P. Jönsson , M. Godefroid

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

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

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

Model independent radiative correction to the recoil proton polarization for the elastic electron-proton scattering is calculated within method of electron structure functions. The explicit expressions for the recoil proton polarization are…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Afanasev , I. Akushevich , N. P. Merenkov

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

We have completed the calculation of pure-recoil corrections of order $(Z \alpha)^6$ to Coulombic bound states of two spin-1/2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such…

High Energy Physics - Phenomenology · Physics 2023-01-25 Gregory S. Adkins , Jonathan Gomprecht , Yanxi Li , Evan Shinn

We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished…

Atomic Physics · Physics 2024-01-12 Krzysztof Pachucki , Vladimir A. Yerokhin

Low-energy cross sections for elastic scattering and recoil of protons from $^4$He nuclei (also known as $\alpha$ particles) are calculated directly by solving the Schr\"odinger equation for five nucleons interacting through accurate two-…

Nuclear Theory · Physics 2014-12-17 Guillaume Hupin , Sofia Quaglioni , Petr Navrátil

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 general structure of the $1/m$ corrections at zero recoil is studied. The relevant matrix elements are forward matrix elements of local higher dimensional operators and their time ordered products with higher order terms from the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Thomas Mannel

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

Atomic Physics · Physics 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

A complete analysis of proton recoil asymmetry in neutron decay in the first order of radiative and recoil corrections is presented. The possible contributions from new physics are calculated in terms of low energy coupling constants, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Gudkov

We discuss recent calculations of the O(alpha) QED corrections to the recoil electron energy spectrum in neutrino electron scattering, and to the spectrum of the combined energy of the recoil electron and a possible accompanying photon…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Passera

The quantum electrodynamic Araki-Sucher correction arising from the interaction between electrons and nuclei is calculated for rovibrational energy levels of the hydrogen molecule and its isotopologues. The corresponding expectation value…

Chemical Physics · Physics 2025-11-12 Jacek Komasa

Electroweak radiative corrections to the matrix elements $<ns_{1/2}|{\hat H}_{PNC}|n'p_{1/2}>$ are calculated for highly charged hydrogenlike ions. These matrix elements constitute the basis for the description of the most parity…

Quantum Physics · Physics 2008-11-26 I. Bednyakov , L. Labzowsky , G. Plunien , G. Soff , V. Karasiev

The one-loop self-energy correction to the hyperfine structure splitting of the 1s and 2s states of hydrogenlike ions is calculated both for the point and finite nucleus. The results of the calculation are combined with other corrections to…

Atomic Physics · Physics 2009-10-30 V. A. Yerokhin , V. M. Shabaev , A. N. Artemyev