  At temperatures below the critical temperature of superfluid phase transition
baryonic matter emits neutrinos by breaking and recombination of Cooper pairs
formed in the condensate. The strong interactions in the nuclear medium modify
the weak interaction vertices and the associated neutrino loss rates. We study
these modifications non-perturbatively by summing infinite series of
particle-hole loops in the S-wave superfluid neutron matter. The pairing and
particle-hole interactions in neutron matter are described in the framework of
the BCS and Fermi-liquid theories derived from microscopic interactions.
Consistent with the f-sum rule, the leading order contribution to the
polarization tensor arises at O(q^2) in the small momentum transfer, q,
expansion. The associated neutrino emission rate is parametrically suppressed
compared to its one-loop counterpart by a factor of the order of 5\times
10^{-3}, the parameter being the baryon recoil in units of temperature.
