Towards a test of QED in investigations of the hyperfine splitting in heavy ions

A possibility for investigations of quantum electrodynamics (QED) in experiments on the hyperfine splitting in heavy ions is examined. It is found that QED effects can be probed on the level of a few percent in a specific difference of the hyperfine splitting values in hydrogenlike and lithiumlike bismuth. This could provide a test of QED in the strongest electric field available at present for experimental study.     

Relativistic many-body and QED effects on the hyperfine structure of lithium-like ions

The hyperfine splitting of the ground state of three-electron ions is studied in detail with the help of the multi-configuration Dirac-Fock method. We study the role of the magnetic electron-electron interaction and of the negative energy continuum. An all-order evaluation of some vacuum polarization corrections is performed. The Bohr-Weisskopf effect is evaluated in a simple model.     

Electron loss of heavy many-electron ions in relativistic collisions with neutral atoms

Electron-loss processes arising in collisions of heavy many-electron ions (like U²⁸⁺) with neutral atoms (H, N, Ar) are considered over a wide energy range including relativistic energies. Various computer codes (LOSS, LOSS-R, HERION, and RICODE), created for calculation of the electron-loss cross sections, and their capability are described. Recommended data on the electron-loss cross sections of U²⁸⁺ ions colliding with H, N, Ar targets and predicted lifetimes of U²⁸⁺ ion beams in accelerator are given. Calculated electronloss cross sections are compared with available experimental data and other calculations.     

类氢离子基态超精细结构的理论研究

利用相对论多组态Dirac-Fock方法,系统计算了类氢离子165Ho66+, 185Re74+,187Re74+,207Pb81+, 209Bi82+, 203TI80+和205TI80+的基态超精细结构分裂以及相应的基态跃迁波长,并与相关实验数据及其它理论结果进行了对比.     

Radiative and interelectronic-interaction corrections to the hyperfine splitting in highly charged B-like ions

The ground-state hyperfine splitting values of high-Z boronlike ions are calculated. Calculation of the interelectronic-interaction contribution is based on a combination of the 1/Z perturbation theory and the large-scale configuration-interaction Dirac-Fock-Sturm method. The screened QED corrections are evaluated utilizing an effective screening potential approach. Total hyperfine splitting energies are presented for several B-like ions of particular interest: ⁴⁵Sc¹⁶⁺, ⁵⁷Fe²¹⁺, ²⁰⁷Pb⁷⁷⁺, and ²⁰⁹Bi⁷⁸⁺. For lead and bismuth the experimental values of the 1s hyperfine splitting are employed to improve significantly the theoretical results by reducing the uncertainty due to the nuclear effects.     

Ground state hyperfine structure of heavy hydrogen like ions

Laser spectroscopy of highly charged heavy ions in the storage ring provides an excellent tool for a test of QED in ultra-high electric and magnetic fields. Discrepancies between experimental and theoretical values are so far mainly explained by uncertainties of nuclear properties. New experimental possibilities can avoid these problems by additional measurements in lithium-like systems. This revised version was published online in August 2006 with corrections to the Cover Date.     

Non-singlet splitting functions in QED

Iterative solution of QED evolution equations for non-singlet electron structure functions is considered. Analytical expressions in the fourth and fifth orders are presented in terms of splitting functions. Relation to the existing exponentiated solution is discussed.     

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.     

Two-loop self-energy correction in high-Z hydrogenlike ions

A complete evaluation of the two-loop self-energy diagrams to all orders in Zalpha is presented for the ground state of H-like ions with Z > or =40.     

Ground-state hyperfine splitting of antihydrogen

ASACUSA collaboration at CERN’s antiproton decelerator (CERN AD) plans to measure the ground-state hyperfine splitting (GS-HFS) of antihydrogen () to test the CPT symmetry to high precision. Our scheme is to produce an (anti-) atomic beam with a novel two-frequency superconducting Paul trap, and to use sextupole magnets and a 1.4-GHz cavity to analyze the HFS resonance frequency.      

Self-energy correction to the hyperfine splitting of the 1 s and 2 s states in hydrogenlike ions

The one-loop self-energy correction to the hyperfine splitting of the 1 s and 2 s states of hydrogenlike ions is calculated for both point and finite nuclei. The results of the calculation are combined with other corrections to find the ground state hyperfine splitting in lithiumlike ²⁰⁹Bi⁸⁰⁺ and ¹⁶⁵Ho⁶⁴⁺. Pis’ma Zh. éksp. Teor. Fiz. 66, No. 1, 19–22 (10 July 1997) Published in English in the original Russian journal. Edited by Steve Torstveit.     

A measurement of the ground state hyperfine splitting for Li-like fluorine ions by nuclear quantum beats

The technique of nuclear quantum beats (perturbed angular correlations) has been applied to the investigation of the hyperfine splitting of the²S_1/2 ground state in Li-like fluorine ions. Using the 197 keV state in¹⁹F as a probe, a value of 73.1 (1.5) GHz was found for the hf splitting. This result is compared with theoretical predictions.     

Proton-polarizability contribution to the hyperfine splitting in hydrogen

The contribution of the proton polarizability to the hyperfine splitting in hydrogen is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is 1.4 ppm.     

Non-axiality effects in quadrupole hyperfine splitting in muonic 238U

The quadrupole hyperfine splitting in muonic atoms with nuclei having non-axial symmetry is calculated within the rigid asymmetric rotor model. The X-rays emitted in 4F-3D and 3D-2D transitions of muonic ²³⁸U were measured with high resolution and an analysis of the spectrum was performed to find the quadrupole deformation parameters β and γ.     

Measurement of the 8S hyperfine splitting in cesium

The Cs 8S level hfs splitting δ₈ has been measured. The experimental value δ₈ = (900 ± 60) MHz is in good agreement with both other experimental results and theoretical predictions.     

Magnetic charge and hyperfine splitting in hydrogen

The large spatial size of magnetic charges (or dyons) and parity considerations are used to show that in models of the proton based on dyons the hyperfine splitting must be due to the magnetic moment produced by the electric charge. The contributions of the magnetic monopoles cancel, otherwise the proton would have a large electric dipole moment.     

13C hyperfine splitting in the benzene negative ion

A method is developed to calculate the coefficients appearing in the Høye, Stell and Waisman analytic solution of the Ornstein-Zernike equation for a hard core potential with a direct correlation function of the two Yukawa form. The method is simple and makes the choice of a physical solution easy. The compressibility, energy and virial pressures are calculated in the vicinity of the liquid-gas transition region and their dependence on changing K ₂, the amplitude of the repulsive Yukawa part, is analysed. This method offers promising possibilities for the application of the hard core, two Yukawa (HCTY) system in the theory of fluids.     

Instantons and the hyperfine splitting ofB andB Smesons

In this short note we wish to point out that the instanton model, which was theoretically fascinating, has recently found application in explaining the hyperfine splitting of mesons and baryons. In particular, the flavour independence ofM _v ² -M _P ² (i.e. the squared mass difference of the vector and the pseudoscalar mesons), known to be constant for the strange and non-strange mesons in theu,d and the charm quark sectors, have recently been shown to be the same for the beauty sector through experiments. This flavour independence and the magnitude of the splitting agrees remarkably well with the instanton model.