There are a number of caveats that go along with this speculation. The structure
of a presupernova star is not fully represented by a single number and its compactness
is sensitive to a lot of stellar physics, including the treatment of semiconvection
and convective overshoot mixing and mass loss and the nuclear reaction rates
employed (Sukhbold & Woosley, 2014). Rotation and magnetic fields will change
both the presupernova structure and its prospects for explosion by non-neutrino processes.
Finally, the surveys of how neutrino-powered explosions depend on compactness
have, so far, been overly simple and mostly in 1D, though see recent work
by Janka and colleagues (Janka et al, 2012; Janka, 2012; M¨uller, Jamka, & Heger,
2012). Still the simplification introduced by this parametrization is impressive and
reasonably consistent with what we know about the systematics of supernova progenitors.
There are a number of caveats that go along with this speculation. The structureof a presupernova star is not fully represented by a single number and its compactnessis sensitive to a lot of stellar physics, including the treatment of semiconvectionand convective overshoot mixing and mass loss and the nuclear reaction ratesemployed (Sukhbold & Woosley, 2014). Rotation and magnetic fields will changeboth the presupernova structure and its prospects for explosion by non-neutrino processes.Finally, the surveys of how neutrino-powered explosions depend on compactnesshave, so far, been overly simple and mostly in 1D, though see recent workby Janka and colleagues (Janka et al, 2012; Janka, 2012; M¨uller, Jamka, & Heger,2012). Still the simplification introduced by this parametrization is impressive andreasonably consistent with what we know about the systematics of supernova progenitors.
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