A two-parameter criterion for classifying the explodability of massive stars by the neutrino-driven mechanism

TL;DR

This study introduces a two-parameter criterion based on pre-collapse stellar structure that accurately predicts whether massive stars will undergo successful neutrino-driven supernova explosions or collapse into black holes.

Contribution

The paper identifies and validates two structural parameters, M4 and mu4, that effectively classify the explodability of massive stars, improving predictive accuracy over previous single-parameter methods.

Findings

Two parameters, M4 and mu4, classify explodability with ~98% accuracy.

The parameters relate directly to the mass-infall rate and neutrino luminosity.

The criterion is validated on 621 stellar models.

Abstract

Thus far, judging the fate of a massive star (either a neutron star (NS) or a black hole) solely by its structure prior to core collapse has been ambiguous. Our work and previous attempts find a non-monotonic variation of successful and failed supernovae with zero-age main-sequence mass, for which no single structural parameter can serve as a good predictive measure. However, we identify two parameters computed from the pre-collapse structure of the progenitor, which in combination allow for a clear separation of exploding and non-exploding cases with only few exceptions (~1-2.5%) in our set of 621 investigated stellar models. One parameter is M4, defining the normalized enclosed mass for a dimensionless entropy per nucleon of s=4, and the other is mu4 = d(m/M_sun)/d(r/1000 km) at s=4, being the normalized mass-derivative at this location. The two parameters mu4 and M4*mu4 can be directly linked to the mass-infall rate, Mdot, of the collapsing star and the electron-type neutrino luminosity of the accreting proto-NS, L_nue ~ M_ns*Mdot, which play a crucial role in the "critical luminosity" concept for the theoretical description of neutrino-driven explosions as runaway phenomenon of the stalled accretion shock. All models were evolved employing the approach of Ugliano et al. for simulating neutrino-driven explosions in spherical symmetry. The neutrino emission of the accretion layer is approximated by a gray transport solver, while the uncertain neutrino emission of the 1.1 M_sun proto-NS core is parametrized by an analytic model. The free parameters connected to the core-boundary prescription are calibrated to reproduce the observables of Supernova 1987A for five different progenitor models.