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Recent laboratory experiments have measured fusion cross sections at center-of-mass energies low enough for the effects of atomic and molecular electrons to be important. To extract the cross section for bare nuclei from these data (as…

Nuclear Theory · Physics 2009-10-28 T. D. Shoppa , M. Jeng , S. E. Koonin , K. Langanke , R. Seki

We demonstrate that to calculate the self-energy of a heavy quark in the heavy quark limit (or the heavy fermion limit in what is called the Baryon Chiral Perturbation Theory), the use of standard dimensional regularization provides only…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. A. Ivanov , T. Mizutani

A self-consistent formulation is proposed to generalize the HF scheme with the incorporation of screening effects. For this purpose in a first step, an energy functional is defined by the mean value for the full Hamiltonian, not in a Slater…

Strongly Correlated Electrons · Physics 2012-03-14 Alejandro Cabo Montes de Oca

We have performed self-consistent calculations of the nonlinear screening of a point charge Z in a two-dimensional electron gas using a density functional theory method. We find that the screened potential for a Z=1 charge supports a bound…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Zaremba , I. Nagy , P. M. Echenique

We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an $\epsilon$-factorized basis, which…

High Energy Physics - Theory · Physics 2024-11-08 Claude Duhr , Federico Gasparotto , Christoph Nega , Lorenzo Tancredi , Stefan Weinzierl

Based on classical electrodynamics, it is argued that the Coulomb potential (which is strictly valid for two point charges at rest), commonly used in the study of energy levels of hydrogen atom is not the correct one, because the electron…

General Physics · Physics 2012-01-11 Harihar Behera

Systematic QED calculations of ionization energies of the $2s$, $2p_{1/2}$, and $2p_{3/2}$ states, as well as the $2p_{1/2}$--$2s$ and $2p_{3/2}$--$2p_{1/2}$ transition energies are performed for Li-like ions with the nuclear charge numbers…

Atomic Physics · Physics 2025-10-09 V. A. Yerokhin , Z. Harman , C. H. Keitel

The finite nuclear-size effect on the leading bound-electron g factor and the one-loop QED corrections to the bound-electron g factor is investigated for the ground state of hydrogen-like ions. The calculation is performed to all orders in…

Atomic Physics · Physics 2015-06-17 V. A. Yerokhin , C. H. Keitel , Z. Harman

The impact of the strongly attractive electromagnetic field of heavy nuclei on electrons in quasi-elastic (e,e') scattering is often accounted for by the effective momentum approximation. This method is a plane wave Born approximation which…

Nuclear Theory · Physics 2011-11-09 Andreas Aste , Dirk Trautmann

Effects of medium polarization are studied for $^1S_0$ pairing in neutron and nuclear matter. The screening potential is calculated in the RPA limit, suitably renormalized to cure the low density mechanical instability of nuclear matter.…

Nuclear Theory · Physics 2009-11-11 L. G. Cao , U. Lombardo , P. Schuck

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…

Atomic Physics · Physics 2012-07-06 U. D. Jentschura

We introduce a computationally efficient screening for the Coulomb potential that also allows calculating approximated long-range exact exchange contributions with an accuracy similar to an explicit full-range evaluation of the exact…

Materials Science · Physics 2025-05-06 Sebastian Kokott , Volker Blum , Matthias Scheffler

Coulomb corrections for quasi-elastic scattering of electrons by nuclei are calculated using eikonal distorted waves. Corrections to the lowest-order eikonal approximation are included in order to obtain accurate results. Spin-dependent…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

How important would be a precise assessment of the electron screening effect, on determining the bare astrophysical $S$-factor ($S_b(E)$) from experimental data? We compare the $S_b(E)$ obtained using different screening potentials, (1) in…

Nuclear Theory · Physics 2011-04-11 Sachie Kimura , Aldo Bonasera

The electric field governing the dynamics of space charge produced by high intensity femtosecond laser pulses focused on a copper surface is investigated by time-resolved low-energy-electron-scattering. The pump-probe experiment has a…

Materials Science · Physics 2009-11-13 C. Cirelli , M. Hengsberger , A. Dolocan , H. Over , J. Osterwalder , T. Greber

An alternative approximation scheme has been used in solving the Schrodinger equation to the more general case of exponential screened Coulomb potential, V(r)=-(a/r)\[1+(1+br)e^{-2br}]. The bound state energies of the 1s, $2s, and…

Quantum Physics · Physics 2007-05-23 Sameer M. Ikhdair , Ramazan Sever

Numerical calculations of the electron self-energy without any expansion in the binding nuclear field are required in order to match the rapidly advancing precision of experimental spectroscopy. For the lightest elements, particularly…

Atomic Physics · Physics 2025-02-20 V. A. Yerokhin , Z. Harman , C. H. Keitel

A simple methodology is suggested for the efficient calculation of certain central potentials having singularities. The generalized pseudospectral method used in this work facilitates {\em nonuniform} and optimal spatial discretization.…

Quantum Physics · Physics 2015-06-16 Amlan K. Roy

Inertial confinement fusion hotspots and cluster Coulomb explosion plasmas may develop a positive net electric charge. The Coulomb barrier penetrability and the rate of nuclear fusion reactions at ultra-low energies ($\lesssim 10$ keV) are…

Nuclear Theory · Physics 2019-06-18 Salvatore Simone Perrotta , Aldo Bonasera

The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 K. A. Baryshnikov , A. V. Gert , Yu. B. Vasilyev , A. P. Dmitriev