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We present a numerical integration scheme for evaluating the convolution of a Green's function with a screened Coulomb potential on the real axis in the GW approximation of the self energy. Our scheme takes the zero broadening limit in…

An alternative approximation scheme has been used in solving the Schroedinger equation for the exponential-cosine-screened Coulomb potential. The bound state energies for various eigenstates and the corresponding wave functions are obtained…

Quantum Physics · Physics 2007-05-23 Sameer M. Ikhdair

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

Modifying the numerical codes, dispersion corrections to the beam-normal spin asymmetry which arise from low-lying transient nuclear excitations up to 30 MeV, are estimated for collision energies between 50 MeV and 1 GeV. A nonperturbative…

Nuclear Theory · Physics 2025-12-09 D. H. Jakubassa-Amundsen

A theoretically consistent approach to the calculation of the Coulomb correlation corrections to the single--particle energies is presented. New contributions to the single--particle energies previously overlooked in the literature are now…

Nuclear Theory · Physics 2011-09-21 Aurel Bulgac , Vasily R. Shaginyan

In bulk and low-dimensional extended systems, the screening of excitations by the electron cloud is a key feature governing spectroscopic properties. Widely used computational approaches, especially in the framework of many-body…

Materials Science · Physics 2023-02-15 Vitaly Gorelov , Lucia Reining , Walter R. L. Lambrecht , Matteo Gatti

Formulas for the corrections to the energy levels and wave functions of a spin-zero particle bound in a strong field are derived. General case of the sum of a Lorentz-scalar potential and zero component of a Lorentz-vector potential is…

Atomic Physics · Physics 2009-11-11 R. N. Lee , A. I. Milstein , S. G. Karshenboim

Various many-body perturbation theory techniques for calculating electron behavior rely on {\it W}, the screened Coulomb interaction. Computing {\it W} requires complete knowledge of the dielectric response of the electronic system, and the…

Materials Science · Physics 2021-06-30 John Vinson , Eric L. Shirley

We have used density functional theory to study the nonlinear screening properties of a two-dimensional (2D) electron gas. In particular, we consider the screening of an external static point charge of magnitude Z as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Zaremba , I. Nagy , P. M. Echenique

We discuss the single-quantum positron annihilation with a bound electron in the near threshold region. The angular distribution and the total cross section are considered. We obtain a simple analytical expression for the Coulomb potential…

High Energy Physics - Phenomenology · Physics 2025-01-28 Peter. A. Krachkov , Simon. V. Sorokin

Calculations of the self-energy corrections to ionization energies of the $3s$, $3p_{1/2}$, and $3p_{3/2}$ states in sodium-like ions with nuclear-charge numbers $Z=30$, $50$, $70$, and $92$ are presented. The calculations are performed…

Atomic Physics · Physics 2026-03-27 P. Yang , A. V. Malyshev , E. A. Prokhorchuk , I. I. Tupitsyn , V. M. Shabaev , D. P. Usov

The photon polarization operator in superstrong magnetic fields induces the dynamical photon "mass" which leads to screening of Coulomb potential at small distances $z\ll 1/m$, $m$ is the mass of an electron. We demonstrate that this…

High Energy Physics - Phenomenology · Physics 2014-11-21 M. I. Vysotsky

We calculate the leading Coulomb correction to the energy loss in the electron-nucleus Bremsstrahlung for arbitrary energy of the incoming particle. This correction determines the charge asymmetry, i.e., the difference of electron and…

High Energy Physics - Phenomenology · Physics 2022-01-05 Roman N. Lee , Andrey F. Pikelner

Two-loop self-energy corrections to the bound-electron $g$ factor are investigated theoretically to all orders in the nuclear binding strength parameter $Z\alpha$. The separation of divergences is performed by dimensional regularization,…

Atomic Physics · Physics 2020-01-08 B. Sikora , V. A. Yerokhin , N. S. Oreshkina , H. Cakir , C. H. Keitel , Z. Harman

A realistic evaluation of Coulomb potential has been made for some selected nuclei using the available model-independent data for the charge density and the recent development of Coulomb energy-density functional. Within the Woods-Saxon…

Nuclear Theory · Physics 2023-03-03 L. Xayavong , Y. Lim

The experimentally observed amazing dependence of a critical magnetic field Bc of a full field-induced spin polarization and a spin susceptibility of a two-dimensional electron gas on the electron density can be explained by screening of…

Strongly Correlated Electrons · Physics 2009-11-10 V. V'yurkov , A. Vetrov

The calculation of self-energy corrections to the electron bands of a metal requires the evaluation of the intraband contribution to the polarizability in the small-q limit. When neglected, as in standard GW codes for semiconductors and…

Materials Science · Physics 2009-11-13 Marco Cazzaniga , Nicola Manini , Luca Guido Molinari , Giovanni Onida

High-energy Coulomb correction to the screening angular parameter of the Moliere multiple scattering theory is found. Numerical calculations are presented in the range of nuclear charge from Z=4 to Z=82. The accuracy of the Moliere theory…

High Energy Physics - Phenomenology · Physics 2014-01-21 E. A. Kuraev , O. O. Voskresenskaya , A. V. Tarasov

Screening effects of electrons on inhomogeneous nuclear matter, which includes spherical, slablike, and rodlike nuclei as well as spherical and rodlike nuclear bubbles, are investigated in view of possible application to cold neutron star…

Nuclear Theory · Physics 2009-11-10 Gentaro Watanabe , Kei Iida

It is shown that the account for the proton charge form factor in the Coulomb corrections to the electron-proton scattering cross section noticeably diminishes the difference between the value of the proton charge radius $r_{\mathrm{E}}$,…

High Energy Physics - Phenomenology · Physics 2014-02-14 R. N. Lee , A. I. Milstein