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What are the appropriate values for the corresponding lifetimes of hadronic decay, electromagnetic decay and weak decay ?

  • A.10\(^{-9}\) sec, 10\(^{-6}\) sec, 10\(^{-3}\) sec
  • B.10\(^{-12}\) sec, 10\(^{-9}\) sec, 10\(^{-6}\) sec
  • C.10\(^{-15}\) sec, 10\(^{-13}\) sec, 10\(^{-6}\) sec
  • D.10\(^{-23}\) sec, 10\(^{-18}\) sec, 10\(^{-10}\) sec

Answer: D

The lifetimes are about 10-23 s, 10-18 s and 10-10 s.

Decay rates scale with the strength of the interaction responsible:

  • Strong (hadronic) decays, such as resonances like the \(\Delta\), take about the time for light to cross a nucleon, \(10^{-23}\) s.
  • Electromagnetic decays, such as \(\pi^{0} \to \gamma\gamma\) (about \(10^{-17}\) s) and \(\Sigma^{0} \to \Lambda\gamma\), are around \(10^{-20}\) to \(10^{-16}\) s.
  • Weak decays, such as \(\Lambda \to p\pi^{-}\) (about \(10^{-10}\) s), are much slower.

The other options give lifetimes far too long for strong and electromagnetic decays.

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