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We develop {\it ab initio} relativistic QED theory for elastic electron scattering on hydrogen-like highly charged ions for impact energies where, in addition to direct (Coulomb) scattering, the process can also proceed via formation and…

Atomic Physics · Physics 2020-02-05 K. N. Lyashchenko , D. M. Vasileva , O. Yu. Andreev , A. B. Voitkiv

In standard quantum mechanics, complex numbers are used to describe the wavefunction. Although complex numbers have proven sufficient to predict the results of existing experiments, there is no apparent theoretical reason to choose them…

This paper studies the model of the quantum electrodynamics (QED) of a single nonrelativistic electron due to W. Pauli and M. Fierz and studied further by P. Blanchard. This model exhibits infrared divergence in a very simple context. The…

High Energy Physics - Theory · Physics 2022-10-12 O. W. Greenberg

We present a theory for rigorous quantum scattering calculations of probabilities for chemical reactions of atoms with diatomic molecules in the presence of an external electric field. The approach is based on the fully uncoupled basis set…

Atomic Physics · Physics 2012-02-06 T. V. Tscherbul , R. V. Krems

The recoil associated with photon emission is key to the dynamics of ultrarelativistic electrons in strong electromagnetic fields, as are found in high-intensity laser-matter interactions and astrophysical environments such as neutron star…

Plasma Physics · Physics 2018-08-20 T. G. Blackburn , D. Seipt , S. S. Bulanov , M. Marklund

From a distance, the proton's weak charge is seen through the distorting effects of clouds of virtual particles. The effective weak charge can be calculated by starting with the measured weak coupling at the Z-pole and "running" the…

High Energy Physics - Phenomenology · Physics 2019-08-14 W. D. Ramsay

The simplest molecules in nature, molecular hydrogen ions in the form of H2+ and HD+, provide an important benchmark system for tests of quantum electrodynamics in complex forms of matter. Here, we report on such a test based on a frequency…

Atomic Physics · Physics 2016-02-03 J. Biesheuvel , J. -Ph. Karr , L. Hilico , K. S. E. Eikema , W. Ubachs , J. C. J. Koelemeij

The article considers a way to compare large bulks of experimental data with theoretical calculations, in which the quality of theoretical models is clearly demonstrated graphically. The main idea of the method consists in grouping physical…

Nuclear Theory · Physics 2023-02-09 V. A. Kizka

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the rotational energy levels of $^{99}$Tc, ${}^{155,157}$Gd, ${}^{159}$Dy,…

Nuclear Theory · Physics 2022-03-07 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

We review the experimental searches on those interactions where the fundamental particles could exhibit a non point-like behavior. In particular we focus on the QED reaction measuring the differential cross sections for the process $ \EEGG…

High Energy Physics - Phenomenology · Physics 2010-02-17 Chih-Hsun Lin , Jurgen Ulbricht , Jian Wu , Jiawei Zhao

I show that Quantum Electrodynamics (QED) predicts a sort of uncertainty principle on the number of the "soft photons" that can be produced in coincidence with the particles that are observed in any EPR experiment. This result is argued to…

Quantum Physics · Physics 2007-05-23 Daniele Tommasini

We present procedures based on Bayesian statistics for estimating, from data, the parameters of effective field theories (EFTs). The extraction of low-energy constants (LECs) is guided by theoretical expectations in a quantifiable way…

Nuclear Theory · Physics 2016-06-22 S. Wesolowski , N. Klco , R. J. Furnstahl , D. R. Phillips , A. Thapaliya

Bayesian model comparison relies upon the model evidence, yet for many models of interest the model evidence is unavailable in closed form and must be approximated. Many of the estimators for evidence that have been proposed in the Monte…

Methodology · Statistics 2014-05-02 Chris J. Oates , Theodore Papamarkou , Mark Girolami

We apply point-particle effective field theory (PPEFT) to electronic and muonic 4He+ ions, and use it to identify linear combinations of spectroscopic measurements for which the theoretical uncertainties are much smaller than for any…

High Energy Physics - Phenomenology · Physics 2018-11-28 C. P. Burgess , P. Hayman , Markus Rummel , Laszlo Zalavari

The multiconfiguration Dirac-Hartree-Fock theory is used to calculate the 3d9 2D3/2 - 2D5/2 transition energy for Co-like ions with Z = 28-100. We investigate how electron correlation, frequency-independent and -dependent Breit…

Atomic Physics · Physics 2019-06-04 R. Si , X. L. Guo , T. Brage , C. Y. Chen , R. Hutton , C. Froese Fischer

The status of thermal model descriptions of particle production in heavy ion collisions is presented. We discuss the formulation of statistical models with different implementation of the conservation laws and indicate their applicability…

Nuclear Theory · Physics 2016-11-23 P. Braun-Munzinger , K. Redlich , J. Stachel

Strong magnetic fields can profoundly affect the equilibrium properties, characterized by the equation of state and bulk thermodynamics of strongly interacting matter. Although such fields are expected in off-central heavy-ion collisions,…

High Energy Physics - Lattice · Physics 2025-10-28 Heng-Tong Ding , Jin-Biao Gu , Arpith Kumar , Sheng-Tai Li

In the present communication the Bayesian conditional probability approach is applied to the wave function of a many-electron system that results in appearance of a quantum vector potential in the DFT Schrodinger equation due to electron…

Chemical Physics · Physics 2012-12-05 R. Tsekov , G. N. Vayssilov

We demonstrate that recent advances in QED theory of Li-like ions [V. A. Yerokhin et al., Phys. Rev. A 112, 042801 (2025)] enable determinations of absolute nuclear charge radii for heavy elements. By incorporating constraints derived from…

Atomic Physics · Physics 2026-01-06 V. A. Yerokhin , B. Ohayon

Relativistic strong-field ionization of hydrogen-like atoms or ions in a constant crossed electromagnetic field is studied. The transition amplitude is formulated within the strong-field approximation in G\"oppert-Mayer gauge, with initial…

Atomic Physics · Physics 2023-03-29 A. Eckey , M. Klaiber , A. B. Voitkiv , C. Müller