Lowest Order QED Corrections Research Articles

Charged black hole horizons and QED effects

It is well known that the presence of quantum fields alters many of the classical properties of black holes. In this paper we consider the lowest-order QED corrections to the location and temperature of the event horizons of charged black holes. We conjecture that QED effects protect realistic charged black holes from the phenomenon of mass inflation.

On the Q-dependence of the lowest-order QED corrections and other properties of the ground 11S-states in the two-electron ions

Formulas and expectation values which are need to determine the lowest-order QED corrections (∼α3) and corresponding recoil (or finite mass) corrections in the two-electron helium-like ions are presented. Other important properties of the two-electron ions are also determined to high accuracy, including the expectation values of the quasi-singular Vinti operator and 〈reN−2〉 and 〈ree−2〉 expectation values. Elastic scattering of fast electrons by the two-electron ions in the Born approximation is considered. Interpolation formulas are derived for the bound state properties of the two-electron ions as the function of the nuclear electric charge Q.

Numerical evaluations of the isotopic shifts and lowest-order QED corrections for the ground 11S-states of the 3He and 4He atoms

The both mass-dependent and field shift components of the isotopic shifts and the lowest order QED corrections for the ground (singlet) 11S(L=0)-states of the 3He and 4He atoms are determined to high accuracy. For the same states we also evaluated the lowest-order QED corrections and the corresponding recoil (or finite mass) corrections. In our calculations we have used the new (corrected) formula for the recoil correction to the lowest-order QED correction which can be applied to atoms/ions with arbitrary nuclear charge Q≥1.

Accurate evaluations of the field shift and lowest-order QED correction for the ground 1¹S-states of some light two-electron ions.

Mass-dependent and field shift components of the isotopic shift are determined to high accuracy for the ground 1(1)S-states of some light two-electron Li(+), Be(2+), B(3+), and C(4+) ions. To determine the field components of these isotopic shifts we apply the Racah-Rosental-Breit formula. We also determine the lowest order QED corrections to the isotopic shifts for each of these two-electron ions.

On highly accurate calculations of the excited n1S(L = 0)-states in helium atoms

The total energies and various bound state properties of the excited 21S(L = 0)-states in two-electron helium atoms, including the $^{\infty}\rm He$ , $^4\rm He$ and $^3\rm He$ atoms, are determined to very high numerical accuracy. The convergence of the results obtained for some electron-nuclear and electron-electron expectation values and, in particular, for the electron-nuclear and electron-electron cusp values, is discussed. The field component of the isotope shift and lowest order QED correction are estimated for the 21S(L = 0)-states in the 4He and 3He atoms. We also apply our highly accurate methods to numerical computations of the excited n 1S-states (for n = 3 and 4) in two-electron atomic systems.

Isotopic effects for the ground 1S1(L=) states in the light two-electron ions

The total energies and various bound state properties are determined to very high accuracy for the ground 1 (1)S(L=0) states in some light two-electron ions, including the Li(+), Be(2+), B(3+), and C(4+) ions. The corrections due to the finite nuclear masses and lowest order QED corrections ( approximately alpha(3)) are considered/computed for each of these ions. In particular, the specific mass shift is determined for each of the Li(+), Be(2+), B(3+), and C(4+) ions. We also discuss the field shift related to the extended nuclear charge distribution.

Highly accurate three-body wavefunctions for the 23S(L = 0) states in two-electron ions

The exponential representation is used to construct highly accurate wavefunctions for the triplet states in various two-electron helium-like ions. It is shown that the exponential variational expansion in relative coordinates (r32, r31 and r21) provides a very high accuracy for the triplet 23S(L = 0) states in light two-electron ions. The developed methods are used to determine the highly accurate non-relativistic energies and other bound state properties for the 23S(L = 0) state in a number of He-like two-electron ions Li+, Be2+, B3+, C4+, N5+, O6+, F7+ and Ne8+. To represent the computed energies of these ions the Q−1 expansion is applied. The asymptotic form of the 23S(L = 0) state wavefunctions at large electron–nuclear distances for the He-like ions is briefly discussed. We also consider the hyperfine structure splitting in the 23S(L = 0) state of the helium-like ions with non-zero nuclear spin. For each of the considered two-electron ions one can determine the isotopic shifts by using our approach based on the derived interpolation formula. The lowest order QED corrections are also determined for the triplet states in all mentioned two-electron ions.

Note on the QED corrections to leptonic decays of the neutral vector boson

An exact calculation of the lowest-order QED corrections to leptonic decay rates of the neutral vector boson is presented and the origin of a discrepancy between two recent results is explained.