Magnetic-dipole-to-electric-quadrupole cross-susceptibilities for relativistic hydrogenlike atoms in some low-lying discrete energy eigenstates

TL;DR

This paper provides comprehensive tabulated data on magnetic-dipole-to-electric-quadrupole cross-susceptibilities for relativistic hydrogenlike atoms across various energy states and atomic numbers, based on a recently derived analytical formula.

Contribution

The work introduces extensive numerical tables of cross-susceptibilities for hydrogenic atoms using a new analytical formula applicable to arbitrary discrete energy states.

Findings

Values computed for Z=1 to 137.

Data covers ground and multiple excited states.

Results facilitate understanding of atomic susceptibilities.

Abstract

In this paper we present tabulated data for magnetic-dipole-to-electric-quadrupole cross-susceptibilities ($\chi_{\textrm{M}1 \to \textrm{E}2}$) for Dirac one-electron atoms with a pointlike, spinless and motionless nucleus of charge $Ze$. Numerical values of this susceptibility for the hydrogen atom ($Z=1$) and for hydrogenic ions with $2 \leqslant Z \leqslant 137$ are computed from the general analytical formula, recently derived by us [P. Stefa{\'n}ska, Phys. Rev. A 93 (2016) 022504], valid for an arbitrary discrete energy eigenstate. In this work we provide 30 tables with the values of $\chi_{\textrm{M}1 \to \textrm{E}2}$ for the ground state, and also for the first, the second and the third set of excited states (i.e.: 2s$_{1/2}$, 2p$_{1/2}$, 2p$_{3/2}$, 3s$_{1/2}$, 3p$_{1/2}$, 3p$_{3/2}$, 3d$_{3/2}$, 3d$_{5/2}$, 4s$_{1/2}$, 4p$_{1/2}$, 4p$_{3/2}$, 4d$_{3/2}$, 4d$_{5/2}$, 4f$_{5/2}$ and 4f$_{7/2}$) of the relativistic hydrogenlike atoms. The value of the inverse of the fine-structure constant used in the calculations is $\alpha^{-1}=137.035 \: 999 \: 139$, and was taken from CODATA 2014.