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EPP-Problem --- Id:: QUE/EPP-01004

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  1. The decay of a massive particle, mass \(M\), into two particles \(B\) and \(C\), masses \(m_1,m_2\), is not possible when \(M < m_1+m_2\). Prove this by choosing an appropriate Lorentz frame and applying energy momentum conservation. Is your argument valid when mass of the decaying particle is zero, \(M=0\)?
  2. Show that a zero mass particle, such as a photon, cannot decay into two or more massive particles. Thus showing that a process such as \[ \gamma \longrightarrow e^+ \quad + \quad e^-\] is not possible for free photons in vacuum.

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