Hyperfine-mediated static polarizabilities of monovalent atoms and ions

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.

arXiv comment13 pages, 1 figure

References in corpus (4)

• High-accuracy calculation of black-body radiation shift in ${}^{133}$Cs primary frequency standard
• AC Stark shift of the Cs microwave atomic clock transitions
• Frequency shift of cesium clock transition due to blackbody radiation
• Measurement of the forbidden tensor polarizability of Cs using an all-optical Ramsey resonance technique

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• High-precision Electric Dipole Polarizabilities of the Clock States in ${}^{133}$Cs
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