We study the scenario of electroweak baryogenesis mediated by nonsupercondu
cting cosmic strings. This idea relies upon electroweak symmetry being rest
ored in a region around the core of the topological defect so that, within
this region, the rate of baryon number violation is enhanced. We compute nu
merically how effectively baryon number is violated along a cosmic string,
at an epoch when the baryon number violation rate elsewhere is negligible.
We show that B violation along nonsuperconducting strings is quite ineffici
ent. When proper accounting is taken of the velocity dependence of the bary
on number production by strings, it proves too small to explain the observe
d abundance by at least ten orders of magnitude, whether the strings are in
the friction dominated or the scaling regime. [S0556-2821 (99)03606-1].