The $\beta$-decay process, discovered around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron $\left(e^{-}\right)$ are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two-body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three-body decay process, i.e. $n\to p+e^{-}+\overline{v_e}$, around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino $\left(\overline{v_e}\right)$ to be massless and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applies. From this calculation, the maximum kinetic energy of the electron is $0.8\times {10}^{6}eV$. The kinetic energy carried by the proton is only the recoil energy.
What is the maximum energy of the anti-neutrino ?

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