  The existence of a scaling network of current-carrying cosmic strings in our
Universe is expected to continuously create loops endowed with a conserved
current during the cosmological expansion. These loops radiate gravitational
waves and may stabilise into centrifugally supported configurations. We show
that this process generates an irreducible population of vortons which has not
been considered so far. In particular, we expect vortons to be massively
present today even if no loops are created at the time of string formation. We
determine their cosmological distribution, and estimate their relic abundance
today as a function of both the string tension and the current energy scale.
This allows us to rule out new domains of this parameter space. At the same
time, given some conditions on the string current, vortons are shown to provide
a viable and original dark matter candidate, possibly for all values of the
string tension. Their mass, spin and charge spectrum being broad, vortons would
have an unusual phenomenology in dark matter searches.
