Calculation of Zeeman and hyperfine splitting using a finite Gaussian basis set
Ivanov V. K.1, Glazov D.A.1,2, Volotka A. V.1
1ITMO University, St. Petersburg, Russia
2NRC «Kurchatov Institute» - PNPI, Gatchina, Russia
Email: vladislav.ivanov@metalab.ifmo.ru, dmitry.glazov@metalab.ifmo.ru, avolotka@gmail.com
The application of a finite basis set of Gaussians to calculating the Zeeman and hyperfine splitting in hydrogen-like ions is considered. The g-factor and relativistic factor for the hyperfine splitting are calculated. Calculations are also performed for second-order effects in the magnetic interaction, namely, the quadratic Zeeman effect and nuclear magnetic shielding. The results are compared with similar calculations using a B-spline basis set for finite-size nuclear models and with analytical formulas for the point model. Keywords: Zeeman splitting, hyperfine splitting, finite basis set, highly charged ions.
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