With the aim of constraining the structural properties of neutron stars and
the equation of state of dense matter, we study sudden spin-ups, glitches,
occurring in the Vela pulsar and in six other pulsars. We present evidence
that glitches represent a self-regulating instability for which the star p
repares over a waiting time. The angular momentum requirements of glitches
in Vela indicate that greater than or equal to 1.4% Of the star's moment of
inertia drives these events. If glitches originate in the liquid of the in
ner crust, Vela's "radiation radius" R-infinity must exceed similar or equa
l to 12 km for a mass of 1.4M(.). Observational tests of whether other neut
ron stars obey this constraint will be possible in the near future.