Abstract

In order to investigate the near wing of the Lyman-α line, accurate line profile calculations and molecular data are both required due to the existence of a close line satellite responsible for its asymmetrical shape. Lyman-α lines observed with the Cosmic Origin Spectograph on the Hubble Space Telescope show this peculiarity in the spectra of DBA and DA white dwarf stars. A similar asymmetrical shape in the blue wing can be predicted in the Balmer-α line of H perturbed by He and H atoms. In continuation with a very recent work on the Lyman-α line, where the n = 2 potential energies and transition dipole moments from the ground state were determined, we present new accurate H-He potential energies and electronic transition dipole moments involving the molecular states correlated with H(n = 3)+He and their transition dipole moments with the states correlated with H(n = 2)+He. Those new data and existing molecular data for H(n = 2,3)-H are used to provide a theoretical investigation of the collisional effects in the blue wing of the Balmer-α line of H perturbed by He and H atoms. We note the consequences for the Balmer-α line shape in the physical conditions found in the cool atmosphere of DZA white dwarfs where helium densities may be as high as 1021 cm−3. This study is undertaken with a unified theory of spectral line broadening valid at very high helium densities.

Highlights

  • Accurate atomic and molecular data, both theoretical and experimental, are required to fully exploit current and future astrophysical space missions and ground-based facilities that deliver sensitive precise spectroscopy

  • There is a discrepancy in the hydrogen abundance determined from optical spectra of Balmer-α and the abundance determined from ultraviolet spectra of Lyman-α that is possibly due to calculated opacities for these lines that have been incorporated into stellar atmosphere code

  • We have noted previously that there is a reliance on simplified models of neutral atom collision line-broadening physics, some dating to the work of Unsold (1955), in most of the codes that are in current use

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Summary

Introduction

Accurate atomic and molecular data, both theoretical and experimental, are required to fully exploit current and future astrophysical space missions and ground-based facilities that deliver sensitive precise spectroscopy. The calculations reported in Allard et al (2008) support the results of Barklem et al (2000a, 2002) that the Ali & Griem (1966) theory of atom-atom resonance broadening for hydrogen underestimates the actual line width This will be the topic of a forthcoming paper; the present work is focussed on the blue wing of the Balmer-α and its asymmetrical shape due to radiation during close collisions. Similar to that due to H-He. In a recent work, we investigated the absorption features in the blue wings by computing detailed collisional broadening profiles (Spiegelman et al 2021) for both H-He and H-H using new Multi-Reference Configuration Interaction (MRCI) calculations of the excited states potential energy curves of H-He dissociating into H(n = 2)+He, as well as the relevant electric dipole transition moments from the ground state contributing to the Lyman-α spectrum.

Diatomic H-He potentials and electronic transition dipole moments
Collisional profiles perturbed by He atoms
Collisional profiles perturbed by H atoms
Self-broadening of the Balmer-α line
Blue wing of the Balmer-α line
General trend of the repulsive Σ states and conclusion

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