  We calculate the nuclear magnetic resonance (NMR) response of a quantum wire
where at low temperature a self-sustained electron-nuclear spin order is
created. Our model includes the electron mediated Ruderman-Kittel-Kasuya-Yosida
(RKKY) exchange, electron spin-orbit interactions, nuclear dipolar
interactions, and the static and oscillating NMR fields, all of which play an
essential role. The paramagnet to helimagnet transition in the nuclear system
is reflected in an unusual response: it absorbs at a frequency given by the
internal RKKY exchange field, rather than the external static field, whereas
the latter leads to a splitting of the resonance peak.
