TL;DR
This paper demonstrates that Dirac neutrinos can form a superfluid state through Higgs-mediated pairing, with calculable properties, though experimental detection remains challenging.
Contribution
It introduces the concept of neutrino superfluidity via Higgs exchange and provides detailed calculations of its properties for various parameters.
Findings
Neutrinos can exhibit BCS superfluidity if they have nonzero mass.
The superfluid gap, critical temperature, and coherence length are computed.
Detection of neutrino superfluidity would be extremely difficult.
Abstract
It is shown that Dirac-type neutrinos display BCS superfluidity for any nonzero mass. The Cooper pairs are formed by attractive scalar Higgs boson exchange between left- and right-handed neutrinos; in the standard SU(2)xU(1) theory, right-handed neutrinos do not couple to any other boson. The value of the gap, the critical temperature, and the Pippard coherence length are calculated for arbitrary values of the neutrino mass and chemical potential. Although such a superfluid could conceivably exist, detecting it would be a major challenge.
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