On the consistent treatment of the quasi-hydrostatic layers in hot star atmospheres

TL;DR

This paper demonstrates that neglecting the detailed physics of radiative pressure in stellar atmosphere models can lead to significant errors in determining the masses of massive stars from spectroscopy, emphasizing the need for consistent treatment.

Contribution

It introduces a method to incorporate radiative pressure consistently in stellar atmosphere models and compares results with the TLUSTY code, highlighting the impact on spectroscopic mass estimates.

Findings

Neglecting radiative pressure leads to errors up to a factor of two in mass estimates.

Incorrect microturbulent velocities or missing opacity sources cause about 50% errors.

Good agreement found between PoWR and TLUSTY models at low mass-loss rates.

Abstract

CONTEXT: Spectroscopic analysis remains the most common method to derive masses of massive stars, the most fundamental stellar parameter. While binary orbits and stellar pulsations can provide much sharper constraints on the stellar mass, these methods are only rarely applicable to massive stars. Unfortunately, spectroscopic masses of massive stars heavily depend on the detailed physics of model atmospheres. AIMS: We demonstrate the impact of a consistent treatment of the radiative pressure on inferred gravities and spectroscopic masses of massive stars. Specifically, we investigate the contribution of line and continuum transitions to the photospheric radiative pressure. We further explore the effect of model parameters, e.g., abundances, on the deduced spectroscopic mass. Lastly, we compare our results with the plane-parallel TLUSTY code, commonly used for the analysis of massive stars with photospheric spectra. METHODS: We calculate a small set of O-star models with the Potsdam Wolf-Rayet (PoWR) code using different approaches for the quasi-hydrostatic part. These models allow us to quantify the effect of accounting for the radiative pressure consistently. We further use PoWR models to show how the Doppler widths of line profiles and abundances of elements such as iron affect the radiative pressure, and, as a consequence, the derived spectroscopic masses. RESULTS: Our study implies that errors on the order of a factor of two in the inferred spectroscopic mass are to be expected when neglecting the contribution of line and continuum transitions to the radiative acceleration in the photosphere. Usage of implausible microturbulent velocities, or the neglect of important opacity sources such as Fe, may result in errors of approximately 50% in the spectroscopic mass. A comparison with TLUSTY model atmospheres reveals a very good agreement with PoWR at the limit of low mass-loss rates.