Static electric and magnetic multipole susceptibilities for Dirac one-electron atoms in the ground state

Abstract

We present tabulated data for several families of static electric and magnetic multipole susceptibilities for hydrogenic atoms with nuclear charge numbers from the range 1⩽Z⩽137. Atomic nuclei are assumed to be point-like and spinless. The susceptibilities considered include the multipole electric polarizabilities αEL→EL and magnetizabilities (magnetic susceptibilities) χML→ML with 1⩽L⩽4 (i.e., the dipole, quadrupole, octupole and hexadecapole ones), the electric-to-magnetic cross-susceptibilities αEL→M(L−1) with 2⩽L⩽5 and αEL→M(L+1) with 1⩽L⩽4, the magnetic-to-electric cross-susceptibilities χML→E(L−1) with 2⩽L⩽5 and χML→E(L+1) with 1⩽L⩽4 (it holds that χML→E(L∓1)=αE(L∓1)→ML), and the electric-to-toroidal-magnetic cross-susceptibilities αEL→TL with 1⩽L⩽4. Numerical values are computed from general exact analytical formulas, derived by us elsewhere within the framework of the Dirac relativistic quantum mechanics, and involving generalized hypergeometric functions 3F2 of the unit argument.