  We present a new technique for observing low energy neutrinos with the aim of
detecting the cosmic neutrino background using ion storage rings. Utilising
high energy targets exploits the quadratic increase in the neutrino capture
cross section with beam energy, and with sufficient beam energy, enables
neutrino capture through inverse-beta decay processes from a stable initial
state. We also show that there exist ion systems admitting resonant neutrino
capture, capable of achieving larger capture cross sections at lower beam
energies than their non-resonant counterparts. We calculate the neutrino
capture rate and the optimal experimental runtime for a range of different
resonant processes and target ions and we demonstrate that the resonant capture
experiment can be performed with beam energies as low as
$\mathcal{O}(10\,\mathrm{TeV})$ per target nucleon. Unfortunately, none of the
ion systems discussed here can provide sufficient statistics to discover the
cosmic neutrino background with current technology. We address the challenges
associated with realising this experiment in the future, taking into account
the uncertainty in the beam and neutrino momentum distributions, synchrotron
radiation, as well as the beam stability.
