  We study the ground state of one-dimensional channel with strong attractive
electron-electron interaction at low temperatures. In spite of the fact that at
low temperatures the ground state of one-dimensional attracting electrons is a
state with a macroscopically large number of cooperons, the resulting
superconducting phase has a number of significant differences. Namely, the
order parameter (which should appear in the superconducting phase according to
Landau's phenomenological theory) turns out to be zero. However, elastic
impurities implanted in a one-dimensional channel will not lead to dissipation
of the supercurrent associated with the condensate movement as a whole.
