Energy levels and transition data of 3p63d8 and 3p53d9 configurations in Fe-like ions (Z = 57, 60, 62, 64, 65)

Atomic data of highly charged ions (HCIs) offer an attractive means for plasma diagnostic and stars identification, and the investigations on atomic data are highly desirable. Herein, based on the fully relativistic multi-configuration Dirac-Hartree-Fock (MCDHF) method, we have performed calculations of the fine structure energy levels, wavelengths, transition rates, oscillator strengths, and line strengths for the lowest 21 states of 3p63d8 - 3p53d9 electric dipole (E1) transitions configurations in Fe-like ions (Z = 57, 60, 62, 64, 65). The correlation effects of valence-valence (VV) and core-valence (CV) electrons were systematically considered. In addition, we have taken into account transverse-photon (Breit) interaction and quantum electrodynamics (QED) corrections to treat accurately the atomic state wave functions in the final relativistic configuration interaction (RCI) calculations. Our calculated energy levels and transition wavelengths are in excellent agreement with the available experimental and theoretical results. Most importantly, we predicted some new transition parameters that have not yet been reported. These data would further provide critical insights into better analyzing the physical processes of various astrophysical plasmas.

Theoretical investigation of energy levels and transition data for P II

Aims. The main goal of this paper is to present accurate and extensive transition data for the P II ion. These data are useful in various astrophysical applications. Methods. The multiconfiguration Dirac–Hartree–Fock (MCDHF) and relativistic configuration interaction (RCI) methods, which are implemented in the general-purpose relativistic atomic structure package GRASP2K, were used in the present work. In the RCI calculations the transverse-photon (Breit) interaction, the vacuum polarization, and the self-energy corrections were included. Results. Energy spectra are presented for 48 even states of the 3s23p2, 3s23p{4p, 4f, 5p, 5f, 6p}, 3s3p23d configurations, and for 58 odd states of the 3s3p3, 3s23p{3d, 4s, 4d, 5s, 5d, 6s} configurations in the P II ion. Electric dipole (E1) transition data are computed between these states along with the corresponding lifetimes. The average uncertainty of the computed transition energies is between five and ten times smaller than the uncertainties from previous calculations. The computed lifetimes for the 3s23p4s3Po states are within the error bars of the most current experimental values.

A study for hydrogen-like lawrencium

Studying hydrogenic ions with high Z is an occasion to understand atomic structure. It also provides a reliable test of methods used to determine atomic structures. Many fields and applications require precise atomic data. For this reason, a hydrogen-like study is performed for lawrencium (Lr102+, Z = 103). The energy levels of hydrogen-like lawrencium are calculated with both multiconfiguration Hartree–Fock (MCHF) and multiconfiguration Dirac–Fock (MCDF) methods. The calculations contain Breit–Pauli relativistic corrections in MCHF calculation and the transverse photon and quantum electrodynamics (QED) effects in MCDF calculation along with electron correlations. In addition, some transition parameters (wavelengths, λ, logarithmic weighted oscillator strengths, log(gf) value, and transition probabilities, Aki) for allowed (E1) and forbidden (E2 and M1) transitions are investigated. The results from this study are compared with only a few theoretical works, but there is no available experimental data yet for Lr102+.

Photon wave mechanics in the eikonal limit: Diamagnetic field-plasma interaction

A microscopic eikonal theory based on photon wave mechanics is established. The diamagnetic (solid state) field-plasma interaction is shown to play a central role in the theory, and this interaction enables one to introduce a massive transverse photon concept. This quasi-particle enters the eikonal theory in manner similar to the one in which the classical point particle enters Newtonian Mechanics in the Hamilton-Jacobi formulation. When the spatial fluctuations in the stationary-state plasma density are of importance the microscopic eikonal theory becomes a spatially nonlocal theory, and the nonlocality, originating in the coupling of longitudinal and scalar photons to the massive transverse photon, extends over near-field distances.

ON THE ASYMPTOTIC BEHAVIOR OF THE PHOTON PROPAGATOR IN QUANTUM ELECTRODYNAMICS

A new renormalization group method is used to calculate the photon propagator in the high four-momentum regime. The assumption that this propagator is a self-similar object leads directly to a functional equation of evolution involving an invariant charge (effective coupling function) which, in turn, is a functional of the propagator. Numerical results produced by this theory depend on a single unknown, namely, the scale in which the four-momentum k is measured. Calculations are presented for several values of this scale. From these it is concluded that the transverse photon propagator behaves asymptotically as D⊥(k)~k2(λ-1) with the value of λ (the anomalous dimension) falling in the range (0.12, 1).

INFRARED DIVERGENCE IN QED3 AT FINITE TEMPERATURE

We consider various ways of treating the infrared divergence which appears in the dynamically generated fermion mass, when the transverse part of the photon propagator in N flavour QED 3 at finite temperature is included in the Matsubara formalism. This divergence is likely to be an artifact of taking into account only the leading order term in the [Formula: see text] expansion when we calculate the photon propagator and is handled here phenomenologically by means of an infrared cutoff. Inserting both the longitudinal and the transverse part of the photon propagator in the Schwinger–Dyson equation, we find the dependence of the dynamically generated fermion mass on the temperature and the cutoff parameters. It turns out that consistency with certain statistical physics arguments imposes conditions on the cutoff parameters. For parameters in the allowed range of values we find that the ratio r=2* Mass (T=0)/critical temperature is approximately 6, consistent with previous calculations which neglected the transverse photon contribution.

RELATIVISTIC CHARGED PARTICLE SCATTERING WITH SPIN SPIN INTERACTIONS

We consider scattering solutions to relativistic wave equations derived within the framework of a Hamiltonian variational method for Quantum Electrodynamics. The wave equations contain the spin-dependent Breit interaction terms as the Fock-space Ansatz samples the transverse photon degrees of freedom. For the case of uncharged scalar particles exchanging massive bosons (scalar Yukawa model) reasonable agreement with a solution of the Bethe–Salpeter equation in ladder approximation is obtained. For the case of the pseudoscalar and scalar channels in QED, we determine the phase shifts as a function of energy.