Relic neutrino detection through angular correlations in inverse
  $\beta$-decay
  Neutrino capture on beta-decaying nuclei is currently the only known
potentially viable method of detection of cosmic background neutrinos. It is
based on the idea of separation of the spectra of electrons or positrons
produced in captures of relic neutrinos on unstable nuclei from those from the
usual $\beta$-decay and requires very high energy resolution of the detector,
comparable to the neutrino mass. In this paper we suggest an alternative method
of discrimination between neutrino capture and $\beta$-decay, based on periodic
variations of angular correlations in inverse beta decay transitions induced by
relic neutrino capture. The time variations are expected to arise due to the
peculiar motion of the Sun with respect to the C$\nu$B rest frame and the
rotation of the Earth about its axis and can be observed in experiments with
both polarized and unpolarized nuclear targets. The main advantage of the
suggested method is that it does not depend crucially on the energy resolution
of detection of the produced $\beta$-particles and can be operative even if
this resolution exceeds the largest neutrino mass.
