Discussion
Which one of the following statements is true?
Answer: B
The true statement is the decay \(\Lambda \to p^{+} + \pi^{-}\) is allowed and strangeness is violated.
The \(\Lambda\) has strangeness −1, while the proton and pion have strangeness 0. Charge, baryon number and energy are conserved (1116 MeV against 938 + 140 MeV), so the decay proceeds through the weak interaction, which does not conserve strangeness. It is the main decay mode of the \(\Lambda\).
CPT invariance holds in every local relativistic field theory and is not violated in muon decay. \(p^{+} \to e^{+} + \gamma\) violates baryon and lepton number conservation and has never been seen. \(\Omega^{-} \to \Xi^{0} + K^{-}\) is forbidden by energy: \(1315 + 494 = 1809\) MeV exceeds the \(\Omega^{-}\) mass of 1672 MeV.
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