Gauge-Invariant QED Perturbation Theory Approach to Calculating Nuclear Electric Quadrupole Moments, Hyperfine Structure Constants for Heavy Atoms and Ions

Relativistic calculation of the spectrum hyperfine structure parameters for heavy atoms and multicharged ions with an account of the relativistic, correlation, nuclear, quantum electrodynamics (QED) effects is carried out. Our calculation method is based on the gauge-invariant QED perturbation theory (PT) with using the optimized one-quasiparticle representation firstly in the theory of the hyperfine structure for relativistic systems. The energies and constants of the hyperfine structure, derivatives of the one-electron characteristics on nuclear radius, nuclear electric quadrupole, magnetic dipole moments Q for atom of the hydrogen 1H (test calculation), superheavy H-like ion with nuclear charge Z = 170, Li-like multicharged ions with Z = 20 ÷ 100, neutral atoms of 235U, 201Hg and 227Ra are calculated.