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We present a nonperturbative numerical evaluation of the one-photon electron self energy for hydrogenlike ions with low nuclear charge numbers Z=1 to 5. Our calculation for the 1S state has a numerical uncertainty of 0.8 Hz for hydrogen and…

原子物理 · 物理学 2011-08-11 U. D. Jentschura , P. J. Mohr , G. Soff

We discuss the calculation of fermion self energy correction in Light Front QED using a coherent state basis. We show that if one uses coherent state basis instead of fock basis to calculate the transition matrix elements, the true infrared…

高能物理 - 理论 · 物理学 2015-06-17 Jai D. More , Anuradha Misra

General transformation expressions of the second-order non-adiabatic Hamiltonian of the atomic nuclei, including the kinetic-energy correction terms, are derived upon the change from laboratory-fixed Cartesian coordinates to general…

化学物理 · 物理学 2018-12-05 Edit Mátyus

The COMPASS collaboration published precise data on production cross section of charged hadrons in lepton-hadron semi-inclusive deep inelastic scattering, showing almost an order of magnitude larger than next-to-leading order QCD…

高能物理 - 唯象学 · 物理学 2020-01-15 Tianbo Liu , Jian-Wei Qiu

Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons, do not exhibit good analytical behavior. We propose an ansatz which allows to include binding energy…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Lopez Castro , J. Pestieau , C. Smith

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…

原子物理 · 物理学 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The $4f-5d$ transition rates for rare-earth ions in crystals can be calculated with an effective transition operator acting between model $4f^N$ and $4f^{N-1}5d$ states calculated with effective Hamiltonian, such as semi-empirical crystal…

材料科学 · 物理学 2007-05-23 Chang-Kui Duan , Michael F. Reid

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving (PNC) amplitude in cesium and francium is evaluated to all orders in $\alpha Z$ using a local form of the Dirac-Fock potential. The calculations…

原子物理 · 物理学 2009-11-11 V. M. Shabaev , I. I. Tupitsyn , K. Pachucki , G. Plunien , V. A. Yerokhin

The total two-photon decay rate of hydrogen-like ions is studied using relativistic quantum electrodynamics. In particular, we analyse how finite nuclear size and QED vacuum polarization corrections affect the decay rate. To calculate these…

原子物理 · 物理学 2020-10-21 J. Sommerfeldt , R. A. Müller , A. V. Volotka , S. Fritzsche , A. ~Surzhykov

Large-scale relativistic calculations are performed for the transition energy and line strength of the $ 1s^{2} 2s 2p$ $^1P_{1} \,-\ 1s^{2} 2s^{2}$ $^1S_{0} $ transition in Be-like carbon. Based on the multiconfiguration…

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.…

高能物理 - 唯象学 · 物理学 2009-11-11 G. S. Adkins , J. Sapirstein

Radiative corrections to elastic scattering represent an important part of the interpretation of electron-induced nuclear reactions at small energy transfers, where they make for a dominant part of background. Here we present and validate a…

The energy interval $ (3S-1S) $ in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of orders $\alpha^3\div \alpha^6 $, which are determined by…

高能物理 - 唯象学 · 物理学 2021-02-03 A. E. Dorokhov , R. N. Faustov , A. P. Martynenko , F. A. Martynenko

The advent of powerful laser sources has made it possible to observe a relatively large cross section of the excited state of Hydrogen atom. This is due to the effect of joint collisions of a linearly polarized $N$-photon and high-energy…

原子物理 · 物理学 2023-04-25 Behnam Nikoobakht

In continuation to our earlier reported data on the electric dipole (E1) matrix elements and lifetimes of the metastable states of the alkaline earth ions in [Atomic Data and Nuc. Data Tables {\bf 137} (2021) 101381], we present here the…

原子物理 · 物理学 2022-01-20 Mandeep Kaur , Sukhjit Singh , B. K. Sahoo , Bindiya Arora

We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed recently by C. Hainzl. We fix an arbitrary cut-off parameter Lambda and recover the alpha^2-term of the self-energy,…

数学物理 · 物理学 2007-05-23 I. Catto , Ch. Hainzl

This work is a collection of initial calculations and formal considerations within the Salpeter-Sucher exact equal-time relativistic quantum electrodynamics framework. The calculations are carried out as preparation for the computation of…

化学物理 · 物理学 2024-06-11 Adám Margócsy , Edit Mátyus

We calculate the one-loop electron self-energy correction of order $\alpha\,(Z\,\alpha)^5$ to the bound electron $g$ factor. Our result is in agreement with the extrapolated numerical value and paves the way for the calculation of the…

原子物理 · 物理学 2017-09-13 Krzysztof Pachucki , Mariusz Puchalski

We give the conversion equations which lead from experimental values of the $3p \to 1s$ transition energy in pionic hydrogen and the total width of the $1s$ level to values of the s-wave threshold scattering parameters for the processes…

高能物理 - 唯象学 · 物理学 2008-11-26 G. C. Oades , G. Rasche , W. S. Woolcock , E. Matsinos , A. Gashi

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…

原子物理 · 物理学 2007-05-23 Ulrich D. Jentschura , Vladimir A. Yerokhin