Uri Keshet, Shmuel Balberg
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.
View original:
http://arxiv.org/abs/1202.2359
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