If in a three body decay \[ A \longrightarrow B_1 + B_2 + B_3\] the energy momenta of the decay products are \(( E^i, \vec{p}^i), i=1,..,3\), show that $E_3$ is maximum when \[ ( p_1+p_2)^2 = (m_1+m_2)^2 \] Use Lagrange multipliers. Interpret this result geometrically. Generalize the above result to \(n\) particles.
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4727:Diamond Point
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