Polarizabilities of the Mg${}^{+}$ and Si${}^{3+}$ ions

Abstract

A polarization analysis of the fine-structure intervals for the $n=17$ Rydberg states of Mg and the $n=29$ states of Si${}^{2+}$ is performed. The coefficients of all terms in the polarization expansion up to $r^{-8}$ were computed using a semi-empirical single electron analysis combined with the relativistic all-order single-double method (MBPT-SD) which includes all single-double excitations from the Dirac-Fock wave functions to all orders of perturbation theory. The revised analysis yields dipole polarizabilities of ${\alpha }_1=35.04(3)$ a.u. for Mg${}^{+}$ and ${\alpha }_1=7.433(25)$ a.u. for Si${}^{3+}$, values only marginally larger than those obtained in a previous analysis (E. L. Snow and S. R. Lundeen (2007) Phys. Rev. A {\bf 75} 062512, {\em ibid} (2008) {\bf 77} 052501). The polarizabilities are used to make estimates of the multiplet strength for the resonant transition for both ions. The revised analysis did see significant changes in the slopes of the polarization plots. The dipole polarizabilities from the MBPT-SD calculation, namely 35.05(12) a.u. and 7.419(16) a.u., are within 0.3% of the revised experimental values.

References in corpus (4)

• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Observation of the 1S0 - 3P0 clock transition in 27Al+
• High-precision calculations of electric-dipole amplitudes for transitions between low-lying levels of Mg, Ca, and Sr
• Properties of the triplet metastable states of the alkaline-earth atoms

Cited by in corpus (7)

• Theory and applications of atomic and ionic polarizabilities
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• Polarizabilities of Si^{2+}: a benchmark test of theory and experiment
• Calculations of polarizabilities and hyperpolarizabilities for the Be${}^{+}$ ion
• Study of quadrupole polarizabilities with combined configuration interaction and coupled-cluster method
• Blackbody radiation shift of B${}^{+}$ clock transition
• Black-body radiation shift of the Ga${}^{+}$ clock transition