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    $\begingroup$ If you use the Newtonian potential, then I think this is the same solution as for the Hydrogen-like atoms. The possible difference lies in the interpretations of the counterpart of the Bohr radius. However, note that neutrinos have 1/2 spin, so the Dirac equation is better suited for such a calculation. $\endgroup$
    – Jeanbaptiste Roux
    Commented Jun 20 at 14:31
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    $\begingroup$ Linked. $\endgroup$
    – Cosmas Zachos
    Commented Jun 20 at 17:26