2024/12/02 by Patrycja Stefańska, Stefańska, Patrycja
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.2412.01364
We present tabulated data for numerical calculations of relative para- and diamagentic contributions to the magnetic shielding constant (σ) of the Dirac one-electron atoms with a pointlike, spinless and motionless nuclei of charge Ze. Exploiting the analytical formulas for the diamagnetic (σd) and paramagnetic (σp) terms of σ, valid for an arbitrary discrete energy state, recently derived by us with the aid of the Gordon decomposition technique, we have found the numerical values of σd/σ and σp/σ for the ground state and for the first two sets of excited states (i.e.: 2s1/2, 2p1/2, 2p3/2, 3s1/2, 3p1/2, 3p3/2, 3d3/2, and 3d5/2) of the relativistic hydrogenic ions with the nuclear charge number from the range 1 \leqslant Z \leqslant 137. The comparisons of our results with those reported by other authors for some atomic states are also presented. We also compile here the numerical values of the total magnetic shielding constants for the ground state 1s1/2 and for each state belonging to the first set of excited states of selected hydrogenlike ions, obtained with the use of three different values of the fine-structure constant, i.e.: α-1=137.035 999 139 (from CODATA 2014), α-1=137.035 999 084 (from CODATA 2018) and α-1=137.035 999 177 (from CODATA 2024).