TY - JOUR
T1 - Critical conditions for core-collapse supernovae
AU - Keshet, Uri
AU - Balberg, Shmuel
PY - 2012/6/21
Y1 - 2012/6/21
N2 - 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 L c, the neutrinosphere pressure exceeds the hydrostatic limit even for an optimal shock radius R. This yields L cM2T2 (with logarithmic corrections) and RM/T, in agreement with numerical results, where M and T are the PNS mass and neutrino temperature, respectively. The near-critical flow can be approximated as a ballistic shell on top of an isothermal layer.
AB - 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 L c, the neutrinosphere pressure exceeds the hydrostatic limit even for an optimal shock radius R. This yields L cM2T2 (with logarithmic corrections) and RM/T, in agreement with numerical results, where M and T are the PNS mass and neutrino temperature, respectively. The near-critical flow can be approximated as a ballistic shell on top of an isothermal layer.
UR - http://www.scopus.com/inward/record.url?scp=84862666920&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.108.251101
DO - 10.1103/PhysRevLett.108.251101
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AN - SCOPUS:84862666920
SN - 0031-9007
VL - 108
JO - Physical Review Letters
JF - Physical Review Letters
IS - 25
M1 - 251101
ER -