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The contribution of hadronic vacuum polarization to the Lamb shift in muonic hydrogen is evaluated with the account of modern experimental data on the cross section of $e^+e^-$ annihilation into hadrons. The numerical value of this…

高能物理 - 唯象学 · 物理学 2011-04-15 R. N. Faustov , A. P. Martynenko

The correction to the hydrogen Lamb shift due to the proton electric and magnetic polarizabilities is expressed analytically through their static values, which are known from experiment. The numerical value of the correction is $ - 71 \pm…

核理论 · 物理学 2008-02-03 I. B. Khriplovich , R. A. Sen'kov

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…

高能物理 - 唯象学 · 物理学 2023-01-25 Gregory S. Adkins , Jonathan Gomprecht , Yanxi Li , Evan Shinn

Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1 <= Z <= 6. The corrections are of order alpha^3 (Zalpha)^2 m_r, where alpha is the…

高能物理 - 唯象学 · 物理学 2025-03-17 G. S. Adkins , U. D. Jentschura

Theoretical energy levels of the $n = 1$ and $n = 2$ states of hydrogenlike atoms with the nuclear charge numbers $1 \le Z \le 110$ are tabulated. The tabulation is based on ab initio quantum electrodynamical calculations performed to all…

原子物理 · 物理学 2015-09-28 V. A. Yerokhin , V. M. Shabaev

We evaluate the two-photon exchange corrections to the Lamb shift and hyperfine splitting of S states in electronic hydrogen relying on modern experimental data and present the two-photon exchange on a neutron inside the electronic and…

高能物理 - 唯象学 · 物理学 2019-05-22 Oleksandr Tomalak

A consistent renormalization of a quantum theory of axion-electrodynamics requires terms beyond the minimal coupling of two photons to a neutral pseudoscalar field. This procedure is used to determine the self-energy operators of the…

高能物理 - 唯象学 · 物理学 2018-12-12 Selym Villalba-Chávez , Alina Golub , Carsten Müller

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l=n-1). The result is obtained in a closed…

原子物理 · 物理学 2009-11-11 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov

Contributions to the energy levels in light muonic atoms and, in particular, to the Lamb shift fall into a few well-distinguished classes. The related diagrams are calculated using different approaches. In particular, there is a specific…

原子物理 · 物理学 2014-11-04 S. G. Karshenboim , V. G. Ivanov , E. Yu. Korzinin , V. A. Shelyuto

Within a systematic approach based on the dimensionally regularized nonrelativistic quantum electrodynamics, we derive the complete result for the two-loop correction to order $(\alpha/\pi)^2 (Z \alpha)^4$ for the $g$ factor of an electron…

The results and main steps of an analytic calculation of radiative-recoil corrections of order $\alpha(Z\alpha)^5(m/M)m$ to the Lamb shift in hydrogen are presented. The calculations are performed in the infrared safe Yennie gauge. The…

高能物理 - 唯象学 · 物理学 2009-10-31 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

Nuclear polarization corrections to the 2P-2S Lamb shift in mu-d atoms are developed in order alpha^5 and are shown to agree with a recent calculation. The nuclear physics in the resulting corrections is then evaluated in zero-range…

核理论 · 物理学 2013-10-30 J. L. Friar

The general formula for the interaction potential between two point electric charges which contains the lowest order corrections to the vacuum polarization is derived and investigated. Analytical derivation of this formula is based on the…

数学物理 · 物理学 2013-10-08 Alexei M. Frolov

The Uehling contribution to the Lamb shift can be computed exactly in terms of the Uehling potential function. However derivations of this function are complex involving avoiding divergences using intricate techniques from early quantum…

综合物理 · 物理学 2020-09-24 John Mashford

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

The one-loop correction and two-loop contribution to black-body radiation (BBR) shift are restudied. The S-matrix approach and nonrelativistic quantum electrodynamics (NRQED) are adopted in finite temperature case. The relativistic…

原子物理 · 物理学 2017-05-24 Wanping Zhou , Xuesong Mei , Haoxue Qiao

The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

高能物理 - 唯象学 · 物理学 2014-11-17 Michael I. Eides , Howard Grotch

The proton structure and proton polarizability corrections to the Lamb shift of electronic hydrogen and muonic hydrogen were evaluated on the basis of modern experimental data on deep inelastic structure functions. Numerical value of proton…

高能物理 - 唯象学 · 物理学 2009-10-31 R. N. Faustov , A. P. Martynenko

Self-energy corrections involving logarithms of the parameter Zalpha can often be derived within a simplified approach, avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state…

高能物理 - 唯象学 · 物理学 2009-11-07 U. D. Jentschura , I. Nandori

We calculate the two-loop Bethe logarithm correction to atomic energy levels in hydrogen-like systems. The two-loop Bethe logarithm is a low-energy quantum electrodynamic (QED) effect involving multiple summations over virtual excited…

高能物理 - 唯象学 · 物理学 2007-05-23 Krzysztof Pachucki , Ulrich D. Jentschura