Critical Conditions for Core-Collapse Supernovae
Keshet, Uri · Balberg, Shmuel
Original · EN
The explosion of a core-collapse supernova can be approximated by the breakdown of steady-state solutions for accretion onto a proto-neutron star (PNS). We analytically show that as the neutrino luminosity exceeds a critical value Lc, the neutrinosphere pressure exceeds the hydrostatic limit even for an optimal shock radius R. This yields Lc ∝ M² T² (with logarithmic corrections) and R ∝ 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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