Evolution of planetary nebulae II. Population effects on the bright cut-off of the PNLF

TL;DR

This study models the planetary nebula luminosity function's bright cut-off to understand its dependence on stellar population age, metallicity, and evolutionary factors, questioning its invariance as a reliable extragalactic distance indicator.

Contribution

It provides a detailed theoretical analysis of the factors affecting the PNLF bright cut-off, incorporating recent synthetic models and photoionisation simulations to challenge previous assumptions.

Findings

M* varies with star formation history and progenitor mass.

The cut-off brightness depends on actual nebular oxygen abundance, not initial metallicity.

Age invariance of M* is difficult to explain theoretically.

Abstract

We investigate the bright cut-off of the [OIII]l5007 planetary nebula luminosity function (PNLF), that has been suggested as a powerful extragalactic distance indicator. Theoretical PNLFs are constructed via Monte-Carlo simulations of populations of PNe, whose individual properties are described with the aid of recent PN synthetic models (Marigo et al. 2001), coupled to a detailed photoionisation code (CLOUDY). The basic dependences of the cut-off magnitude M* are then discussed. We find that: (i) In galaxies with recent or ongoing star formation, the modelled PNLF present M* values between -4 and -5, very close to the observationally-calibrated value for the LMC. (ii) In these galaxies, the PNLF cut-off is produced by PNe with progenitor masses of about 2.5 Msun, while less massive stars give origin to fainter PNe. As a consequence M* is expected to depend strongly on the age of the last burst of star formation, dimming by as much as 5 mag as we go from young to 10-Gyr old populations. (iii) Rather than on the initial metallicity of a stellar population, M* depends on the actual [O/H] of the observed PNe, a quantity that may differ significantly from the initial value (due to dredge-up episodes), especially in young and intermediate-age PN populations. (iv) Also the transition time from the end of AGB to the PN phase, and the nuclear-burning properties (i.e. H- or He-burning) of the central stars introduce non-negligible effects on M*. The strongest indication derived from the present calculations is a serious difficulty to explain the age-invariance of the cut-off brightness over an extended interval, say from 1 to 13 Gyr, that observations of PNLFs in galaxies of late-to-early type seem to suggest.