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The nonresonant (NR) corrections are estimated for the most accurately measured two-photon transition 1s-2s in the hydrogen atom. These corrections depend on the measurement process and set a limit for the accuracy of atomic frequency…

Atomic Physics · Physics 2009-11-07 L. N. Labzowsky , D. A. Solovyev , G. Plunien , G. Soff

In the present paper, we study nonresonant corrections for experimental measurements of the transition frequencies in the helium atom. Having attracted more attention, such effects can make a significant contribution to experiments based on…

Atomic Physics · Physics 2022-04-29 T. Zalialiutdinov , A. Anikin , D. Solovyev

We investigate nonresonant contributions to resonant Rayleigh scattering cross sections of atoms. The problematic nonresonant contributions set a limit to the accuracy to which atomic spectra determine energy levels. We discuss the…

Atomic Physics · Physics 2009-11-07 Ulrich D. Jentschura , Peter J. Mohr

The resonant spectra of hydrogen and anti-hydrogen atoms in the presence of an external electric field are compared theoretically. It is shown that nonresonant corrections to the transition frequency contain terms linear in the electric…

Atomic Physics · Physics 2009-11-10 L. Labzowsky , D. Solovyev , V. Sharipov , G. Plunien , G. Soff

We demonstrate that the present superaccurate measurements of transition processes between atomic states in hydrogen atom reached the limit of accuracy when transition frequency cannot be defined anymore in a unique way. This was predicted…

Atomic Physics · Physics 2020-06-24 D. Solovyev , A. Anikin , T. Zalialiutdinov , L. Labzowsky

We study the two-photon process for the transitions ns --> 1s and nd --> 1s in hydrogen up to large n. For n<=20 we provide simple analytic fitting formulae to describe the non-resonant part of the two-photon emission profiles. Combining…

Astrophysics · Physics 2009-11-13 J. Chluba , R. A. Sunyaev

The angular and polarization properties of the photon pair emitted in the two--photon decay of $2s$ hyperfine states in hydrogenlike ions are investigated within the relativistic Dirac framework and second order perturbation theory. The…

Atomic Physics · Physics 2012-03-30 Filippo Fratini

Precision spectroscopy of atomic hydrogen is an important way to test bound-state quantum electrodynamics (QED), one of the building blocks of the Standard Model. In its simplest form, such a test consists of the comparison of a measured…

Atomic Physics · Physics 2025-12-24 Lothar Maisenbacher

We present absolute frequency measurements of 2S_{1/2}-nS_{1/2} two-photon transitions with n = 8, 9, and 10 in a cryogenic beam of atomic hydrogen. Each transition has been measured with a fractional uncertainty of approximately…

The two-photon decay in hydrogen-like ions is investigated within the framework of second order perturbation theory and Dirac's relativistic equation. Special attention is paid to the angular correlation of the emitted photons as well as to…

Atomic Physics · Physics 2014-10-23 P. Amaro , F. Fratini , S. Fritzsche , P. Indelicato , J. P. Santos , A. Surzhykov

The effects of two-photon exchange corrections, suggested to explain the difference between measurements of the proton elastic electromagnetic form factors using the polarization transfer and Rosenbluth techniques, have been studied in…

Nuclear Experiment · Physics 2014-11-18 V. Tvaskis , J. Arrington , M. E. Christy , R. Ent , C. E. Keppel , Y. Liang , G. Vittorini

Using the Dirac equation, radiative corrections and finite nuclear size and mass corrections, we calculate the $1s$-$2s$ quantum transition frequency $f_{1s,2s}$ of hydrogen and its uncertainty due to the uncertainties $\delta m_e, \delta…

Atomic Physics · Physics 2023-05-09 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

In 2003 we have measured the absolute frequency of the $(1S, F=1, m_F=\pm 1) \leftrightarrow (2S, F'=1, m_F'=\pm 1)$ two-photon transition in atomic hydrogen. We observed a variation of $(-29\pm 57)$ Hz over a 44 months interval separating…

Doppler-free two-photon spectroscopy is a standard technique for precision measurement of transition frequencies of dipole-forbidden transitions. The accuracy of such measurements depends critically on fitting of the spectrum to an…

Atomic Physics · Physics 2023-08-25 Bubai Rahaman , Sid C. Wright , Sourav Dutta

Two-photon free-free transitions in elastic laser-assisted electron-hydrogen collisions are studied in the domain of high scattering energies and low or moderate field intensities, in the third order of perturbation theory, taking into…

Atomic Physics · Physics 2013-03-07 Aurelia Cionga , Gabriela Buica

We investigate collisional shifts of spectral lines involving excited hydrogenic states, where van der Waals coefficients have recently been shown to have large numerical values when expressed in atomic units. Particular emphasis is laid on…

Atomic Physics · Physics 2019-05-01 A. Matveev , N. Kolachevsky , C. M. Adhikari , U. D. Jentschura

Polarization properties of the photons emitted in the two-photon decay of hydrogen-like ions are studied within the framework of the density matrix and second-order perturbation theory. In particular, we derive the polarization correlation…

Atomic Physics · Physics 2011-08-23 Filippo Fratini , Andrey Surzhykov

In this review, we have investigated the asymmetry of the line profile in precision one- and two-photon spectroscopy of hydrogen and helium atoms within the framework of a rigorous QED approach. A detailed analysis of the angular…

Atomic Physics · Physics 2022-04-27 A. Anikin , T. Zalialiutdinov , D. Solovyev , L. Labzowsky

We present the emergence of coherent two-photon backscattering, a manifestation of weak localization, in multiple scattering of maximally entangled pure and fully mixed two-photon states and examine the effect of entanglement and classical…

Quantum Physics · Physics 2024-01-25 Nooshin M. Estakhri , Theodore B. Norris

We consider nonlinear spectroscopic effects - interaction-enhanced double resonance and spectrum instability - that appear in ultracold quantum gases owing to collisional frequency shift of atomic transitions and, consequently, due to the…

Quantum Gases · Physics 2015-06-12 Alexander Safonov , Irina Safonova , Igor Yasnikov
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