Isotope shift calculations in Ti II

Abstract

We present an accurate ab initio method of calculating transition energies and isotope shifts in the 3d-transition metals. It extends previous work that combines the configuration-interaction calculation with many-body perturbation theory by including the effective three-body interaction and modification of the energy denominator. We show that these effects are of importance in Ti II. The need to develop methods that can accurately calculate isotope shifts in 3d-transition metals comes from studies of quasar absorption spectra that seek to measure possible variation of the fine-structure constant alpha over the lifetime of the Universe. Isotope shift can also be used to measure isotope abundances in gas clouds in the early Universe, which are needed in order to test models of chemical evolution.

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Cited by in corpus (20)

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• AMBiT: A program for high-precision relativistic atomic structure calculations
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• Search for a Variation of the Fine Structure around the Supermassive Black Hole in Our Galactic Center
• Laboratory atomic transition data for precise optical quasar absorption spectroscopy
• Isotope Shifts in Beryllium-, Boron-, Carbon-, and Nitrogen-like Ions from Relativistic Configuration Interaction Calculations
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• Particle-hole configuration interaction and many-body perturbation theory: application to Hg+
• Saturated configuration interaction calculations for five-valent Ta and Db
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• Measuring chemical evolution and gravitational dependence of αusing ultraviolet Fe V and Ni V transitions in white-dwarf spectra
• Effective three particle forces in polyvalent atoms
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• Transition frequencies, isotope shifts, and hyperfine structure in $4s\to 4p$ transitions of Ti${}^{+}$ ions
• Precision calculation of energy levels for four-valent Si I
• Long-lived metastable states in the 4f${}^{13}$5d6s configuration of Yb${}^{+}$