Description of anomalous Zeeman patterns in stellar astrophysics
Jean-Christophe Pain, Franck Gilleron

TL;DR
This paper investigates how magnetic fields influence spectral line broadening in stellar spectra, modeling the complex Zeeman patterns statistically to diagnose magnetic fields and simulate their effects.
Contribution
It introduces two statistical models for describing Zeeman patterns, enabling magnetic field diagnostics and approximate spectral simulations in stellar astrophysics.
Findings
Zeeman patterns can be statistically characterized using moments.
Two models provide diagnostic and simulation tools for magnetic effects.
Approximations facilitate inclusion of magnetic fields in spectral analysis.
Abstract
The influence of a magnetic field on the broadening of spectral lines and transition arrays in complex spectra is investigated. The anomalous absorption or emission Zeeman pattern is a superposition of many profiles with different relative strengths, shifts, widths, asymmetries and sharpnesses. The "sigma" and "pi" profiles can be described statistically, using the moments of the Zeeman components. We present two statistical modellings: the first one provides a diagnostic of the magnetic field and the second one can be used to include the effect of a magnetic field on simulated atomic spectra in an approximate way.
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