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How can Dirac neutrinos exist if neutrinos have no charge? As far as I'm aware, the antiparticle of a particle is its charge conjugate while all of its other characteristics remain same. How then can a neutrino be distinct from an antineutrino?

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    $\begingroup$ Charge conjugation is well-defined for chargeless fermions. It reverses flavor, fermion number, etc. Read up on it. $\endgroup$ Commented May 15, 2023 at 16:39

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Electric charge is not the only quantum number. Neutrinos are distinguished as follows.

Particle: chirality: Left, weak isospin +$\frac{1}{2}$, lepton nr: +1,

Anti-Particle: chirality: Right, weak isospin -$\frac{1}{2}$, lepton nr: -1,

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