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How can I estimate the endpoint energy for the proton in the neutron beta decay?

Following this answer, I can write the system of equation as:

$$p_e+p_p+p_\nu=0$$

$$m_n=E_p+E_e+E_\nu$$

Assuming that the neutrino has no mass and that it has $p_\nu=0$, I have: $$m_n=E_e+E_p=E_p+m_e+T_e$$ where $T_e$ is the electron kinetic energy. Now how do I proceed? I cannot impose $T_e=\dfrac{p_e^2}{2m_e}$ since the electron is relativistic

mattiav27
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