Super-Giant Glitches and Quark Stars Sources of Gamma Ray Bursts(2)

When a spinning-down neutron star undergoes a phase transition that produces quark matter in its core, a Super-Giant Glitch of the order\Delta\Omega =\Omega ? ? 0:3 occurs on time scales from 0.05 seconds to a few minutes. The energy released is about 10 5

formed via decon nement phase transition at a critical density of about 3 0 . Here we consider the case that strange quark matter is stable only at high pressure with a critical density cr= 3:0 0 for the phase transition. The mechanism of the conversion from a neutron star to a hybrid star is that a small amount of quark matter is formed in the center once the central density of the neutron star reaches the critical density, and since the EOS of the quark matter is much softer than that of the neutron matter due to the asymptotic freedom property of quark-quark interactions, the newly formed quark matter cannot sustain the high pressure in the stellar center and will be more highly compressed. As a result, the whole star collapses until another stable con guration, a hybrid star, is reached. This point can also be seen from the mass-central density plot of hybrid stars (Rosenhauer et al. 1992), where a discontinuous part in the curve indicates that a hybrid star cannot have a quark core of arbitrary size. A 1:4M hybrid star is stable only when it has a central density of about 10 0 and has more than half of its mass in the quark phase. Hence, once the central density of a neutron star reaches cr, there must be a sudden collapse. Inside a hybrid star, the quark matter exists under high pressure, whereas in Witten's hypothesis (Witten 1984) the strange matter is the absolute ground state and is stable at zero pressure. The mechanism of burning a neutron star to a strange star would be that a small lump of strange quark matter\eats up" all the neutron ma

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