Critical Conditions for Core-Collapse Supernovae

Details Critical Conditions for Core-Collapse Supernovae Critical Conditions for Core-Collapse Supernovae

2012-02-10

arxiv.org/abs/1202.2359v2

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

minor corrections

Scientific paper

The explosion of a core-collapse supernova is approximated by the breakdown of the steady-state solution for accretion onto a proto-neutron-star (PNS). We analytically show that as the neutrino luminosity exceeds a critical value L_c, the neutrinosphere pressure exceeds the hydrostatic limit even for an optimal shock radius R. This yields L_c \propto M^2 T^2 (with logarithmic corrections) and R \propto M/T, in agreement with numerical results, where M, T are the PNS mass, neutrino temperature. The near-critical flow can be approximated as a ballistic shell on top of an isothermal layer.

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