Abstract
We report on hydrogen line shape calculations in the presence of an external magnetic field, at conditions such that the quadratic Zeeman effect is important. The latter is described through a term proportional to B2 in the Hamiltonian, accounting for atomic diamagnetism. It provides a shift and an asymmetry on Lorentz triplets, and it leads to the occurrence of forbidden components. Motivated by investigations performed at the fifth edition of the Spectral Line Shape in Plasmas (SLSP5) code comparison workshop, we perform new calculations of hydrogen Lyman line profiles. Field values representative of magnetized white dwarf atmosphere conditions are taken. The calculations are done using a computer simulation technique, designed for Stark broadening modeling. A discussion of the results is done in the framework of plasma diagnostics.
Highlights
A significant number of white dwarfs contain a high magnetic field, with values up to 10 kT [1,2].For such high values, the atoms emitting and absorbing radiation are subject to the quadratic Zeeman effect, which yields a perturbation of the energy levels proportional to B2 in addition to the linearZeeman perturbation
A feature of the quadratic Zeeman effect is that the Lorentz triplets observed in spectra are strongly shifted and are no longer symmetric; the spectral lines exhibit additional components corresponding to forbidden transitions
Zeeman effect and the Stark effect associated with the plasma microfield, for applications to the diagnostic of magnetized white dwarf atmospheres [4,5]
Summary
A significant number of white dwarfs contain a high magnetic field, with values up to 10 kT [1,2]. For such high values, the atoms emitting and absorbing radiation are subject to the quadratic Zeeman effect, which yields a perturbation of the energy levels proportional to B2 in addition to the linear. In 2019, this topic was selected as a case problem at the Spectral Line Shape in Plasmas code comparison workshop (SLSP [6], fifth edition). We here report on new line shape calculations performed in the conditions close to those considered at the workshop.
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