Some elementary particles in Standard Model are grouped into doublets, e. g. electron and e-neutrino (both left). As to me, the wave function of such a doublet should be(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\psi^{ia}=\left(\begin{array}{c}\nu^a \\ e^a \end{array}\right)

[/tex]

where [itex]i=1,2[/itex] and [itex]a[/itex] is a spinor index. In other words it is composed of electron and neutrino components. If [itex]nu^a=0[/itex], it is a pure electron wave function, and if [itex]e^a=0[/itex] it is a pure nutrino wave function. However, performing an SU(2)-gauge transfoprmation, I can mix the components of the doublet. My question is what particle I actually describe - an electron or a neutrino?

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# A question on Isotopic Spin

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