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相关论文: Two-body $P$-state energies at $\alpha^6$ order

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In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to $r_N^2$ from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic…

高能物理 - 唯象学 · 物理学 2018-08-29 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , A. E. Radzhabov

The two-loop self-energy correction is evaluated to all orders in Z alpha for the ground-state Lamb shift of H-like ions with Z >= 20, where Z is the nuclear charge number and alpha is the fine structure constant. The results obtained are…

高能物理 - 唯象学 · 物理学 2009-11-10 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Recoil corrections to the atomic decay rate are considered in the order of Zm/M . The expressions are treated exactly without any expansion over Z alpha. The expressions obtained are valid both for muonic atoms (for which they contribute on…

原子物理 · 物理学 2009-10-30 Savely G. Karshenboim

Results of a calculation valid to all orders in the nuclear-strength parameter Z\alpha are presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, for the ground and first excited states of ions with the…

原子物理 · 物理学 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

The one-electron quantum-electrodynamic corrections to the magnetic-dipole transition amplitude between the fine-structure levels (1s^2 2s^2 2p) ^2P_3/2 - ^2P_1/2 in boronlike ions are calculated to all orders in (\alpha Z). The results…

原子物理 · 物理学 2009-11-11 A. V. Volotka , D. A. Glazov , G. Plunien , V. M. Shabaev , I. I. Tupitsyn

We compute the complete O(alpha^2) QED corrections to the electron energy spectrum in unpolarized muon decay, including the full dependence on the electron mass. Our calculation reduces the theoretical uncertainty on the electron energy…

高能物理 - 唯象学 · 物理学 2008-11-26 Charalampos Anastasiou , Kirill Melnikov , Frank Petriello

On the basis of quasipotential approach in quantum electrodynamics we calculate vacuum polarization and quadrupole corrections in first and second orders of perturbation theory in hyperfine structure of P-states in muonic deuterium. All…

高能物理 - 唯象学 · 物理学 2017-11-28 A. P. Martynenko , V. V. Sorokin

We present an improved calculation of higher-order corrections to the one-loop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon…

原子物理 · 物理学 2009-11-06 U. D. Jentschura , K. Pachucki

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order alpha (Z alpha)^2. The contribution of high-energy virtual photons is treated by means of an…

原子物理 · 物理学 2012-07-06 U. D. Jentschura

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

原子物理 · 物理学 2019-04-10 Niklas Michel , Natalia S. Oreshkina

Non-relativisitic second-order corrections to the wave function at origin in muonic and exotic atoms are considered. The corrections are due to the electronic vacuum polarization. Such corrections are of interest due to various effective…

原子物理 · 物理学 2014-11-04 Vladimir G. Ivanov , Evgeny Yu. Korzinin , Savely G. Karshenboim

The order $\alpha^4 R_{\infty}$ corrections to positronium $P$ levels are found. The calculation is reduced to the ordinary perturbation theory for the nonrelativistic Schr\"odinger equation. The perturbation operators have the Breit-type…

高能物理 - 唯象学 · 物理学 2008-02-03 I. B. Khriplovich , A. I. Milstein , A. S. Yelkhovsky

A calculation of two-electron QED effects to all orders in the nuclear binding strength parameter $Z\alpha$ is presented for the ground and $n = 2$ excited states of helium-like ions. After subtracting the first terms of the $Z\alpha$…

原子物理 · 物理学 2022-08-30 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions $(D)$, we…

We calculate hard spin-independent contributions to energy levels in muonium and positronium which are due to radiatively corrected electron factor insertion in two-photon exchange diagrams. Calculation of these corrections is motivated by…

高能物理 - 唯象学 · 物理学 2023-08-16 Michael I. Eides , Valery A. Shelyuto

The finite operators are derived for the recoil $m\alpha^6(m/M)$ order relativistic corrections (to spin-averaged energy levels) in hydrogen-like atoms and ions in the two- and three-body formalism beyond the adiabatic approximation.…

原子物理 · 物理学 2025-08-12 Vladimir I Korobov

We present an analytic calculation of the O(m alpha^6) recoil and radiative recoil corrections to energy levels of positronium nS states and their hyperfine splitting. A complete analytic formula valid to O(m alpha^6) is given for the…

高能物理 - 唯象学 · 物理学 2009-10-31 Andrzej Czarnecki , Kirill Melnikov , Alexander Yelkhovsky

Hard spin-independent three-loop radiative contributions to energy levels in positronium generated by the two-photon-exchange diagrams with one-loop radiative insertions in the fermion lines and exchanged photons are calculated. This is a…

高能物理 - 唯象学 · 物理学 2022-06-15 Michael I. Eides , Valery A. Shelyuto

We provide an accurate evaluation of the two-photon exchange correction to the hyperfine splitting of S energy levels in muonic hydrogen exploiting the corresponding measurements in electronic hydrogen. The proton structure uncertainty in…

高能物理 - 唯象学 · 物理学 2018-02-14 Oleksandr Tomalak

We present a precise theoretical prediction for the decay width of the bound state of two electrons and a positron (a negative positronium ion), Gamma(Ps^-) = 2.087 085(12)/ns. We include O(alpha^2) effects of hard virtual photons as well…

高能物理 - 唯象学 · 物理学 2008-11-26 Mariusz Puchalski , Andrzej Czarnecki , Savely G. Karshenboim