  We present a detailed analytical and numerical study of a novel type of
static, superconducting, classically stable string texture in a renormalizable
topologically trivial massive U(1) gauge model with one charged and one neutral
scalar. An upper bound on the mass of the charged scalar as well as on the
current that the string can carry are established. A preliminary unsuccesful
search for stable solutions corresponding to large superconducting loops is
also reported.
