Hyperfine-mediated static polarizabilities of monovalent atoms and ions

TL;DR

This paper calculates the hyperfine-mediated static polarizabilities of monovalent atoms and ions using relativistic many-body methods, providing essential data for high-precision atomic experiments.

Contribution

It introduces formulas for scalar and tensor polarizabilities including hyperfine interactions and applies them to several monovalent atoms and ions.

Findings

Calculated polarizabilities for Al, Rb, Cs, Yb+, Hg+, and Fr.

Provided data crucial for atomic clock and CP-violation experiments.

Enhanced understanding of hyperfine effects on atomic polarizabilities.

Abstract

We apply relativistic many-body methods to compute static differential polarizabilities for transitions inside the ground-state hyperfine manifolds of monovalent atoms and ions. Knowing this transition polarizability is required in a number of high-precision experiments, such as microwave atomic clocks and searches for CP-violating permanent electric dipole moments. While the traditional polarizability arises in the second-order of interaction with the externally-applied electric field, the differential polarizability involves additional contribution from the hyperfine interaction of atomic electrons with nuclear moments. We derive formulas for the scalar and tensor polarizabilities including contributions from magnetic dipole and electric quadrupole hyperfine interactions. Numerical results are presented for Al, Rb, Cs, Yb$^+$, Hg$^+$, and Fr.