Unstable Helium Shell Burning on Accreting White Dwarfs

TL;DR

This study investigates the conditions under which helium shell burning on accreting white dwarfs becomes unstable and leads to dynamical burning, potentially resulting in thermonuclear supernovae, with detailed modeling of temperature, composition, and nuclear reactions.

Contribution

The paper provides detailed calculations of maximum temperatures, minimum envelope masses for dynamical burning, and the role of specific isotopes, advancing understanding of helium flashes on white dwarfs.

Findings

AM CVn systems with >0.8 Msol accretors undergo dynamical burning.

Dynamical burning involves specific isotope reactions, notably 14N reactions.

Conditions for explosive burning depend on accretor mass and composition.

Abstract

AM Canum Venaticorum (AM CVn) binaries consist of a degenerate helium donor and a helium, C/O, or O/Ne WD accretor, with accretion rates of Mdot = 1e-13 - 1e-5 Msol/yr. For accretion rates < 1e-6 Msol/yr, the accreted helium ignites unstably, resulting in a helium flash. As the donor mass and Mdot decrease, the ignition mass increases and eventually becomes larger than the donor mass, yielding a "last-flash" ignition mass of < 0.1 Msol. Bildsten et al. (2007) predicted that the largest outbursts of these systems will lead to dynamical burning and thermonuclear supernovae. In this paper, we study the evolution of the He-burning shells in more detail. We calculate maximum achievable temperatures as well as the minimum envelope masses that achieve dynamical burning conditions, finding that AM CVn systems with accretors > 0.8 Msol will undergo dynamical burning. Triple-alpha reactions during the hydrostatic evolution set a lower limit to the 12C mass fraction of 0.001 - 0.05 when dynamical burning occurs, but core dredge-up may yield 12C, 16O, and/or 20Ne mass fractions of ~ 0.1. Accreted 14N will likely remain 14N during the accretion and convective phases, but regardless of 14N's fate, the neutron-to-proton ratio at the beginning of convection is fixed until the onset of dynamical burning. During explosive burning, the 14N will undergo 14N(a,g)18F(a,p)21Ne, liberating a proton for the subsequent 12C(p,g)13N(a,p)16O reaction, which bypasses the relatively slow alpha-capture onto 12C. Future hydrodynamic simulations must include these isotopes, as the additional reactions will reduce the Zel'dovich-von Neumann-Doring (ZND) length, making the propagation of the detonation wave more likely.