## Abstract

Cosmological models can be constrained by determining primordial abundances. Accurate predictions of the He I spectrum are needed to determine the primordial helium abundance to a precision of <1 per cent in order to constrain big bang nucleosynthesis models. Theoretical line emissivities at least this accurate are needed if this precision is to be achieved. In the first paper of this series, which focused on H _{I}, we showed that differences in l-changing collisional rate coefficients predicted by three different theories can translate into 10 per cent changes in predictions for H _{I} spectra. Here, we consider the more complicated case of He atoms, where low-l subshells are not energy degenerate. A criterion for deciding when the energy separation between l subshells is small enough to apply energy-degenerate collisional theories is given. Moreover, for certain conditions, the Bethe approximation originally proposed by Pengelly & Seaton is not sufficiently accurate. We introduce a simple modification of this theory which leads to rate coefficients which agree well with those obtained from pure quantal calculations using the approach of Vrinceanu et al. We show that the l-changing rate coefficients from the different theoretical approaches lead to differences of ~10 per cent in He I emissivities in simulations of H _{II} regions using spectral code CLOUDY.

Original language | English |
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Pages (from-to) | 312-320 |

Number of pages | 9 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 464 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2017 |

### Bibliographical note

Funding Information:We acknowledge support by NSF (1108928, 1109061, and 1412155), NASA (10-ATP10-0053, 10-ADAP10-0073, NNX12AH73G, and ATP13-0153), and STScI ( HST-AR-13245, GO-12560, HST-GO-12309, GO-13310.002-A, HST-AR-13914, and HST-AR-14286.001). MC has been supported by STScI ( HST-AR-14286.001-A). PvH was funded by the Belgian Science Policy Office under contract no. BR/154/PI/MOLPLAN.

Publisher Copyright:

© 2016 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society.

## Keywords

- Atomic data
- Cosmology: observations
- H regions
- ISM: abundances
- Primordial nucleosynthesis

## ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science