Microwave spectroscopy of heliumlike Rydberg states ofH2andD2:

Static and dynamic polarizabilities of the non-relativistic hydrogen molecular ion

“…The ground-state polarizability has been investigated in several papers [9,10,13,14,15] and all of them are in agreement in at least 7 significant digits. However a difference with the experimental result [3] arises at the fifth significant digit. Relativistic corrections only slightly reduce the problem [13].…”

“…The theoretical ground-state polarizability is still in disagreement with experiment [3]. An important number of accurate theoretical calculations solving the three-body Schrödinger equation and calculating the ground-state polarizability with a variety of techniques all agree with at least seven significant digits.…”

Relativistic corrections to the dipole polarizability of the ground state of the molecular ionH2+

“…The accuracy for the dipole polarizability constant (∼ 10 −7 a 3 0 ) reached in the last work [6] in its turn become a challenge to experiment. The new experimental work [2] substantially increases the accuracy of measurements and reveals a discrepancy of about 0.0007a 3 0 between theory and experiment, which can not be accounted for within purely nonrelativistic approximation. In present work we consider relativistic corrections of order α 2 to the dipole polarizability of the ground state of an isolated H + 2 molecular ion.…”

“…Recent measurements [1,2] of the scalar electric dipole polarizability of H + 2 molecular ion through the study of H 2 molecule states with one Rydberg electron stimulated the introduction of methods [3]- [6] which are able to accurately describe wave functions of molecular ions with two heavy nuclei beyond the adiabatic approximation. The accuracy for the dipole polarizability constant (∼ 10 −7 a 3 0 ) reached in the last work [6] in its turn become a challenge to experiment.…”

Polarizabilities ofSi2+: A benchmark test of theory and experiment

“…In such cases, the polarization interaction provides the dominant contribution to the energy shift. This effect is utilized in resonant excitation Stark ionization spectroscopy (RESIS) [19][20][21][22][23][24][25][26][27][28] [26], and Rnlike Th 3+ [27]. Quadrupole polarizabilities and transition matrix elements have also been determined for some of these systems.…”