Complex hydrogen chemical equilibrium and Gaia low mass problem in cool white dwarfs

TL;DR

This study investigates the discrepancy between models and observations of cool white dwarfs by examining hydrogen chemistry, revealing that suppressing H3+ formation aligns models with Gaia data.

Contribution

It identifies the overestimation of H3+ abundance as a key factor and suggests revising chemical equilibrium models for hydrogen atmospheres in white dwarfs.

Findings

Suppressing H3+ formation improves model fit to Gaia data.

Ionization of hydrogen atoms explains free electrons in models.

Chemical equilibrium assumptions need revision for cool white dwarf atmospheres.

Abstract

Large Gaia data set shows substantial misfit between models and observation for cool white dwarfs with $T_{\rm eff}<6000\,\rm K$, resulting in severe underestimation of masses of these stars. We aim to understand the underlying modelling issues. State of the art atmosphere models have been applied to analyse the Gaia DR3 sample of white dwarfs as well as quantum mechanical calculations to quantify formation and stability of different hydrogen species in the atmospheres of these stars. We reconcile the models and observations when we artificially suppress formation of $\rm H_3^+$ species, a process which substantially alters the chemical equilibrium at $T_{\rm eff}<6000\,\rm K$, resulting in an overabundance of free electrons and $\rm H^-$, and strengthening of $\rm H^-$ bound-free absorption. Removing the $\rm H_3^+$ species from chemical equilibrium consideration makes ionization of hydrogen atoms the main source of free electrons, with the resulting models reproducing well the Gaia white dwarfs cooling branch. Because $\rm H_3^+$ must form under the considered conditions, likely it is the overestimation of its partition function and resulting abundance or the formation of $\rm H_3^-$ or another anionic species that suppresses the formation of $\rm H^-$ as a countercharge for $\rm H_3^+$ in current models. Chemical equilibrium in cool, hydrogen atmospheres white dwarfs must be reconsidered in respect to the abundance of $\rm H_3^+$ species and presence of unaccounted charge species.