On the collapse of 8-10 solar mass stars due to electron capture
The density at which electron capture can ignite oxygen burning in 8-10 solar mass stars is investigated within the uncertainties of the semiconvection theory. The Ledoux criterion for convection is adopted in order to take into account the maximum effect of heating due to electron capture. It is found that oxygen burning is not ignited by electron captures on Mg-24 and Na-24 at the central density of about 4 x 10 to the 9th g/cu cm, but by capture on Ne-20 at about 1 x 10 to the 10th g/cu cm. This ignition density is 2.5 times lower than in the case with the Schwarzschild criterion, but is still high enough to induce a collapse by electron capture rather than a total explosion of the core. When the oxygen-burning front arrives at M(r) of roughly 0.3 solar mass, the contraction reaches a quasi-dynamic collapse.