Ken G said:
On the issue of why nuclei have larger cross sections for antineutrinos, it seems to me this should not be a nucleus-dependent issue, it should have simply to do with the fact that an antineutrino can interact with a proton in a way not available to neutrinos. It's very much the antimatter aspect, though not so much an issue of annihilation-- a proton has a positive charge, so it can make a positron (or antimuon, or antitauon) when something with negative lepton number bashes into it, hence the antineutrino but not the neutrino.
It is a heavily nucleus-dependent issue. Consider oxygen instead of protium...
In case of O-16, F-16 is unbound, meaning that a neutrino has to remove a neutron from O-16 and leave behind O-15 (halflife 2 min) - a threshold of 15 MeV or so. An antineutrino would produce N-16 (halflife 7 s).
In case of O-18, F-18 half-life is 110 min and N-18, while bound, has half-life 0,6 s. Since neutrino absorption in O-18 is inverse electron capture of F-18, it has threshold of about 1,66 MeV.
Etc., etc.. The thresholds and cross-sections are going to depend on the specifics of daughter nuclei.
What is a bias for antineutrino: what do you get when you absorb a neutrino? A fast electron. Which looks much like a fast electron emitted by beta decay.
Absorb an antineutrino? Sure, a positron emitted by antineutrino looks much the same as a positron emitted by positron decay. But positron emitting isotopes are somewhat less common in nature than electron emitting ones. (For example K-40 emits both but far fewer positrons than electrons). It is not so much that antineutrino absorption has higher cross-section but that it seems to have lower background noise of similar looking but different events.
Ken G said:
This cross section is way larger than neutrino-electron scattering cross sections (available to both neutrinos and antineutrinos because it is just a scattering by the weak force), so the mere fact that our detectors contain lots of protons and not antiprotons is the reason we detect antineutrinos so much more easily.
Our detectors contain a lot of neutrons, though.
Ken G said:
Core collapse supernovae are copious sources of both neutrinos and antineutrinos, so until we detect a very large number of neutrinos in the Cerenkov detectors
There are two basic ways of neutrino/antineutrino interacting.
One is absorption. This has flavour specific information and also receives the whole energy and momentum of the incoming particle.
And the other is elastic scattering. This is flavour unspecific, and while it is constricted in terms of energy and momentum, it does not take the full momentum information of the incoming particle (because it moves on with unknown energy).
Both of these usually produce a rapid lepton. (The obvious exception is events of elastic scattering off baryons, but those are hard to detect anyway). The absorption also produces altered/unstable nuclei.
Detecting the rapid lepton is already the next step. Cherenkov detectors have high energy threshold, but have some directional information. Scintillation has far lower threshold, so catches lower energy events, but seems to lose the direction information.