I Neutrino-Atom Elastic Scattering: Insights from Particle Physics

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Neutrino interactions with atoms generally result in elastic scattering due to their low cross section, particularly with light atoms like helium and carbon. While elastic scattering is common, inelastic reactions can occur depending on the neutrino energy and the target nucleus, such as the interaction with tritium. Neutrinos and antineutrinos exhibit different behaviors, with electron, muon, and tau neutrinos each having distinct interactions. Interactions can occur with either nuclear or electron targets, though the latter is less frequent. Neutral current events, where no charge is exchanged, are less common than charged current events, which involve a neutrino transforming into a charged lepton.
Rayan
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What happens generally when a neutrino/anti-neutrino collides with a light vs heavy atom?

My guess is, since neutrinos have very low cross section, their interaction is weak and therefore it will be an elastic scattering! For example:

$$ \overline{\nu} + He^3 \rightarrow \overline{\nu} + He^3 $$

and

$$ \nu + C^{12} \rightarrow \nu + C^{12} $$

But since I'm new to Particle physics and trying to learn by my own I'm not very sure!
 
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Elastic scattering is always possible, inelastic reactions can be possible depending on the target nucleus and the neutrino energy. ##\nu + T \rightarrow {}^3He + e^-## is possible at any neutrino energy, for example, because tritium already has enough energy to decay even without neutrino.
 
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A few points.

We usually write nuclei as 50V..

Neutrinos and antineutrinos do different things. To a degree electron, muon and tau neutrinos do different things.

Interactions on matter can occur off a nuclear target or an electron target. The latter happens less often.

What you have drawn is called a "neutral current" event. They are less common than "charged current" events, when a neutrino comes in and a charged lepton goes out.
 
The neutrino was discovered in the interaction​
$${\bar\nu}+p\rightarrow n+e^+$$​
 
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