1. The actual π+ lifetime is 2.6024 x 10−8 sec. while the actual (π+ → e+ + νe) / (π+ → μ+ + νμ ) branching ratio is 1.24 x 10−4.
2. All the other “superfluous” are strange hadrons except for the newly discovered ψ and ψ′ mesons which are non-strange.
3. A. Rousset, AIP Conference Proceedings No. 22, Neutrinos, Philadelphia, 1974, AIP, New York (1974).
4. See, e.g., R.E. Marshak, Riazuddin, and C.P. Ryan, “Theory of Weak Interactions in Particle Physics”, Wiley, New York (1969).
5. When
$$
\left( {\frac{E}{{{{({E_e})}_{max}}}}} \right)
$$
is so close to 1 that
$$
\frac{\alpha }{{2\pi }}{f_{1,2}}\left( {\frac{{{E_e}}}{{{{({E_e})}_{max}}}}} \right)
$$
is no longer << 1 we must exponentiate
$$
1{\rm{ + }}\frac{\alpha }{{2\pi }}{f_{1,2}}\left( {\frac{{{E_e}}}{{{{({E_e})}_{max}}}}} \right)
$$
which, using Eq. (15), then becomes equal to
$$
\begin{array}{l}
\frac{\alpha }{{2\pi }}{\left( {\frac{3}{2}\ell n\left[ {\frac{{{m_\mu }}}{{{m_e}}}} \right] - \frac{{{\pi ^2}}}{3} + \frac{1}{2}} \right)_{\left( {1 - \frac{{{E_e}}}{{{{({E_e})}_{max}}}}} \right)}}\frac{\alpha }{{2\pi }}2(\ell n\frac{{{m_\mu }}}{{{m_e}}} - 1)\\
\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{}&{}&{}
\end{array}}&{}&{}
\end{array}}&{}&{}&{}
\end{array}}&{}&{}&{ = 0.944}
\end{array}{\left( {1 - \left( {\frac{{{E_e}}}{{{{({E_e})}_{max}}}}} \right)} \right)^{0.0.10}}
\end{array}
$$