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The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

Quantum Physics · Physics 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

On account of its application to the present and future analysis of the virtual photon correction to the hadronic properties by means of lattice QCD simulation, we initiate the study of the finite size scaling effect on the QED correction…

High Energy Physics - Phenomenology · Physics 2008-12-18 Masashi Hayakawa , Shunpei Uno

QED radiative corrections to elastic electron-proton scattering at low energies are discussed. Corrections to the electron line and effects due to vacuum polarization are computed. Higher order effects are estimated for the conditions of…

High Energy Physics - Phenomenology · Physics 2017-08-11 A. B. Arbuzov , T. V. Kopylova

A new method for computing hadronic effects on electroweak radiative corrections to low-energy weak interaction semileptonic processes is described. It employs high order perturbative QCD results originally derived for the Bjorken sum rule…

High Energy Physics - Phenomenology · Physics 2009-11-11 William J. Marciano , Alberto Sirlin

The Born-Infeld form of the hydrogen atom has a spectrum that can be used to determine the physical viability of the theory, and place an experimentally relevant bound on the single parameter found in it. We compute this spectrum using the…

Quantum Physics · Physics 2015-05-27 J. Franklin , T. Garon

We calculate the nucleon parameters in nuclear matter using the QCD sum rules method. The radiative corrections to the leading operator product expansion terms are included, with the corrections of the order \alpha_s beyond the logarithmic…

Nuclear Theory · Physics 2009-10-29 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

We show that Green function methods can be straightforwardly applied to nonlinear equations appearing as the leading order of a short time expansion. Higher order corrections can be then computed giving a satisfactory agreement with…

High Energy Physics - Theory · Physics 2008-11-26 Marco Frasca

Heavy-atom alkaline earth monofluoride molecules are considered as prospective systems to study spatial parity or spatial parity and time-reversal symmetry violating effects such as the nuclear anapole moment or the electron electric dipole…

Atomic Physics · Physics 2021-10-14 Leonid V. Skripnikov , Dmitry V. Chubukov , Vera M. Shakhova

We calculated spectra of the first six members of the Mg-like isoelectronic sequence using different approximations. The most accurate results were obtained with the configuration interaction + all order method (CI+AO), which provided…

Atomic Physics · Physics 2015-10-21 E. A. Konovalova , M. G. Kozlov

We use the theory of YFS resummation to compute the size of the expected resummed soft radiative threshold effects in precision studies of heavy particle production at the LHC, where accuracies of 1 percent are desired in some processes. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. Glosser , S. Jadach , B. F. L. Ward , S. A. Yost

The scattering of neutral particles by an atomic nucleus can lead to electronic ionisation and excitation through a process known as the Migdal effect. We revisit and improve upon previous calculations of the Migdal effect, using the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Peter Cox , Matthew J. Dolan , Christopher McCabe , Harry M. Quiney

Ionization energies for the ground state of berylliumlike ions with nuclear charge numbers in the range Z=16-96 are rigorously evaluated. The calculations merge the ab initio QED treatment in the first and second orders of the perturbation…

Atomic Physics · Physics 2015-07-22 A. V. Malyshev , A. V. Volotka , D. A. Glazov , I. I. Tupitsyn , V. M. Shabaev , G. Plunien

Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

The evaluation of quantum corrections in the theory of the electroweak and strong interactions via higher-order Feynman diagrams requires complicated and laborious calculations, which however can be structured in a strictly algorithmic way.…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Weiglein

We discuss the epsilon-method as used in various recent QED bound-state calculations by considering mathematical model examples. Recently obtained results for higher-order self-energy binding corrections at the two-loop level are reviewed.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ulrich D. Jentschura , Christoph H. Keitel , Krzysztof Pachucki

Continuum states of the Dirac equation are calculated numerically for the electrostatic field generated by the charge distribution of an atomic nucleus. The behavior of the wave functions of an incoming electron with a given asymptotic…

Nuclear Theory · Physics 2007-05-23 Andreas Aste , Cyrill von Arx , Dirk Trautmann

Due to some current interest in this subject we have produced this note. There is no claim to anything new, except possibly to show that a direct numerical approach is quite simple and instructive. For comparison purposes we include a…

Atomic Physics · Physics 2017-10-05 Bob Holdom , Roman Koniuk

Quantum gravitational corrections to the effective potential, at one-loop level and in the leading-log approximation, for scalar quantum electrodynamics with higher-derivative gravity ---which is taken as an effective theory for quantum…

High Energy Physics - Theory · Physics 2009-09-25 Emilio Elizalde , Sergei D. Odintsov , August Romeo

For superheavy elements with atomic numbers $120\leq Z \leq 170$, the concept of the ground-state configuration is being reexamined. To this end, relativistic calculations of the electronic structure of the low-lying levels are carried out…

High energy scattering processes of charged particles are accompanied by radiation of hard photons. Emission collinear to the incident particles, which leads to a reduction of the effective beam energy, and the possibility to directly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harald Anlauf