Quantum electrodynamic corrections for valence electrons in Eka-Hg

The quantum electrodynamic (QED) corrections to the coupling energy of valence electrons in heavy and superheavy nuclei are calculated in the effective local-potential approximation, as well as by the Hartree-Fock-Dirac self-consistent method. It is clearly shown that the contribution from the QED corrections is within the accuracy of modern calculations, which do not take into account QED effects. It is shown that, in certain cases, to exactly calculate the coupling energy of electrons in heavy and superheavy atoms, it is necessary to take into account the self-consistency, which shows that the inaccuracy of the use of the method of the effective local potential in calculations of QED effects can exceed 10%, which is also within the limits of calculations of the coupling energy without taking into account QED effects.     

A single-particle nonlocal potential for taking into account quantum-electrodynamic corrections in calculations of the electronic structure of atoms

A new single-particle effective potential is proposed. This potential allows one to take into account quantum-electrodynamic (QED) corrections in relativistic calculations of many-electron ions and neutral atoms. In particular, it can be used in the Dirac-Fock (DF) method, the relativistic density functional, the multiconfiguration DF method, and the relativistic method of superposition of configurations. The potential is constructed without fitting parameters. Self-energy corrections have been calculated for a number of neutral alkali atoms and Li-like ions to check the quality of the nonlocal potential proposed. Comparison with the data in the literature on the QED corrections obtained in nonempirical calculations based on the use of QED perturbation theory is performed.     

Accurate Calculations on Dielectronic Recombination Resonances in Cu-like Pb

Dielectronic recombination of Pb⁵³⁺ has been studied and a resonance is detected only ∼0.1 meV above the ground state. The possibility to determine the 4p _1/2−4s _1/2 energy splitting with a similar accuracy from the determination of the resonance position is discussed. Such a precision can only be achieved by calculations which treat QED in a many-body environment at levels which can still not be reached. A fully relativistic many-body calculation of the splitting is described and the uncertainties are discussed. This revised version was published online in July 2006 with corrections to the Cover Date.     

QED correction to asymmetry for polarized <Emphasis Type="Italic">ep</Emphasis> scattering from the method of electron structure functions

The electron structure function method is applied to calculate model-independent QED radiative corrections to the asymmetry of electron-proton scattering. Representations for both spin-independent and spin-dependent parts of the cross section are derived. Master formulas include the leading corrections in all orders and the main contribution of the second order and provide accuracy of the QED corrections at the level of one per mill. Numerical calculations illustrate our analytic results for both elastic and deep inelastic events.     

QED corrections for the valence electron in the heavy and superheavy metal atoms from the 11 and 12 groups

The first-order QED corrections for valence electron are investigated for the neutral Ag, Rg and their neighbours of the Mendeleev Periodic Table within the framework of the Dirac-Hartree-Fock method. The including of SE effects in such procedure was done first for superheavy atoms. The obtained results provide the limit of the accuracy for the modern relativistic theoretical calculations for the superheavy elements and open the discussion about the accuracy of the QED corrections in the superheavy elements themselves.     

类铜Au50+精细结构能级和光谱跃迁的相对论多组态计算

用相对论多组态方法计算了类铜离子Au⁵⁰⁺的精细结构能级和光谱跃迁参数，所得结果很接近实验值．通过对组态选取、有限核模型、Ｂｒｅｉｔ修正和量子电动力学（ＱＥＤ）效应的分析，指出该体系中存在更为明显的ＱＥＤ效应，使４ｓ—４ｐ跃迁波长的计算精度有了很大的提高 关键词：     

NLO quark mass effects in polarized DIS

The method originally developed for the exact calculations in QED theory is applied for the calculation NLO effects in QCD Compton processes. QCD corrections to the structure functions and sum rules are obtained. Different interpretations of the NLO effects due to finite quark mass are discussed.     

Two photon QED corrections in helium like highly charged ions

An overview of calculations and measurements of the energy levels of helium-like ions is presented. We focus on the two-photon QED effects, and conclude that measurements of the excited states of large Z helium-like ions are desired. This revised version was published online in August 2006 with corrections to the Cover Date.     

Calculation of the hyperfine structure of heavy H and Li like ions

The present status of calculations of the hyperfine splitting and the transition probability between the hyperfine splitting components in hydrogen and lithium like ions is discussed. The results of the calculations are compared with recent experimental data. A special attention is focused on the hyperfine splitting in hydrogen like lead and lithium like bismuth. It is shown that the theoretical prediction for the ground state hyperfine splitting in lead based on the single particle nuclear model for the Bohr-Weisskopf effect is in fair agreement with experiment. The theoretical prediction for the ground state hyperfine splitting in lithium like bismuth is improved due to more accurate calculations of the interelectronic interaction, QED, and nuclear corrections. This revised version was published online in August 2006 with corrections to the Cover Date.     

Comparison of Higgs boson mass and width determination of the LHC and a linear collider

The method originally developed for the exact calculations in QED theory is applied for the calculation of NLO effects in QCD Compton processes. QCD corrections to the structure functions and sum rules are obtained. Different interpretations of the NLO effects due to finite quark mass are discussed.     

Radiative corrections to polarization observables in elastic electron-deuteron scattering in hadronic variables

Model-independent QED radiative corrections to polarization observables in the elastic scattering of unpolarized and longitudinally polarized electron beam by a deuteron target are calculated. Two experimental setups are considered: the deuteron target is arbitrarily polarized, or the vector and/or tensor polarization of the recoil deuteron is measured. The calculations are based on taking all essential Feynman diagrams into account and using the covariant parametrization of the deuteron polarization state. The radiative corrections are calculated for the hadronic variables using invariant integration of the leptonic tensor. Numerical estimates of the radiative corrections to the polarization observables are made for various values of the kinematical vari-ables.     

Metastable states of antiprotonic helium atoms

We discuss the latest theoretical achievements in calculations of energy transitions in the antiprotonic helium He⁺ p-0304; atoms. New variational calculations of the nonrelativistic energies with precision of ∼10^-10 a.u. and relativistic and QED corrections to the energy levels of mα ⁵ order are presented. This revised version was published online in August 2006 with corrections to the Cover Date.     

g factor of the [(1s)2(2s)22p]2P3/2 state of middle-Z boronlike ions

Theoretical g-factor calculations for the first excited ²P_3/2 state of boronlike ions in the range Z=10–20 are presented and compared with the previously published values. The first-order interelectronic-interaction contribution is evaluated within the rigorous quantum electrodynamics (QED) approach in the effective screening potential. The second-order contribution is considered within the Breit approximation. The QED and nuclear recoil corrections are also taken into account.     

Full one-loop corrections to neutralino pair production in ee annihilation

We present the full one-loop radiative corrections to pair production of neutralinos in e⁺e⁻ collisions within the Minimal Supersymmetric Standard Model. Particular attention is paid to the definition of weak and QED corrections. The non-universal QED corrections are extracted by subtracting the initial state radiation. We give numerical results for two different SUSY scenarios for and . The weak and QED corrections are up to several percent or even larger and need to be taken into account at future linear collider experiments.     

QED Theory of Transition Probabilities and Line Profiles in Highly Charged Ions

A rigorous QED theory of the spectral line profiles is applied to transition probabilities in few-electron highly charged ions. Interelectron interaction corrections are included as well as radiative corrections. Parity nonconserving (PNC) amplitudes with effective weak interactions between the electrons and nucleus are also considered. QED and interelectron interaction corrections to the PNC amplitudes are derived.     

Nuclear Recoil Effect on the <Emphasis Type="Italic">g</Emphasis>-Factor of Heavy Ions: Prospects for Tests of Quantum Electrodynamics in a New Region

The nuclear recoil effect on the g-factor of H- and Li-like heavy ions is evaluated to all orders in αZ. The calculations include an approximate treatment of the nuclear size and the electron–electron interaction corrections to the recoil effect. As the result, the second largest contribution to the theoretical uncertainty of the g-factor values of ²⁰⁸Pb⁷⁹⁺ and ²³⁸U⁸⁹⁺ is strongly reduced. Special attention is paid to tests of the QED recoil effect on the g-factor in experiments with heavy ions. It is found that, while the QED recoil effect on the gfactor value is masked by the uncertainties of the nuclear size and nuclear polarization contributions, it can be probed on a few-percent level in the specific difference of the g-factors of H- and Li-like heavy ions. This provides a unique opportunity to test QED in a new region of the strong-coupling regime beyond the Furry picture.     

类硼等电子序列磁偶极M1 1s^22s^22p^2P_(3/2)—~2P_(1/2)能级间隔和光谱跃迁

采用相对论量子力学GRASP2程序,扩展平均能级EAL模型,有限核模型,考虑Breit和QED的高阶微扰修正,系统地研究了类硼等电子序列磁偶极M11s22s22p2P3/2—2P1/2(Z=10～100)光谱跃迁的精细能级结构间隔,跃迁概率和振子强度,所得结果和最近的实验数据及理论计算值进行了比较。计算结果表明:在ICF高温高密度激光等离子体中磁偶极矩M1跃迁几率过程不容被忽视。     

Independent N-Electron Method and High Accuracy Calculations of the Ground State Energy of the Nonrelativistic Light Atoms (3≤Ne≤10)

A new method based on the independent electron-pair approximation is developed to calculate the correlation energy and the basis size truncation error. The formalisms for the nondegenerate systems are described in this paper. Because all important terms are very efficiently selected and the calculations can be separated into several parts, this new method gives very accurate results and does not require expensive computing facilities. As a test, the ground state energies (GSE) of the nonrelativistic atoms for 3≤N_e≤10 are calculated using this new method. The calculated results are found to be in close agreement with the most recent available version of the exact GSE which is derived from the experimental data after subtracting the contributions from the relativistic effect, QED radiative corrections, finite nucleon mass corrections, and the finite radius of the nuclear size. Those accurate results have not been reproduced for N_e≥5 by any direct theoretical calculations in literatures. Since this method is not restrained to nonrelativistic or Coulomb systems, it should become powerful to study other quantum interacting systems.     

Hard bremsstrahlung corrections for the process e+e− → μ+μ−

An analytical approach is developed to the calculation of the hard bremsstrahlung corrections for the process e⁺e^? → μ⁺μ^? in the context of the standard SU(2) × U(1) model for unified weak and e.m. interactions. Numerical results are shown for different values of the c.m. energy and scattering angle. They are strongly dependent on the experimental setup and indicate that hard effects become extremely important in the region of the neutral vector boson peak. Total corrections to the process are also analyzed. Finally hard photon corrections are reexamined for pure QED giving agreement with previous numerical calculations.