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Question
The principal decay mode of the sigma zero is $\Sigma^0 \rightarrow \Lambda + \gamma$ (a) What energy is released? (b) Considering the quark structure of the two baryons, does it appear that the $\Sigma^0$ is an excited state of the $\Lambda^0$ ? (c) Verify that strangeness, charge, and baryon number are conserved in the decay. (d) Considering the preceding and the short lifetime, can the weak force be responsible? State why or why not.
1. $76.9\textrm{ MeV}$
2. Yes, the $\Sigma^0$ is an excited state of $\Lambda^0$ since their quark composition is the same.
3. Please see the solution video
4. The strong nuclear force can not change quark flavor. Decay due to the strong nuclear force has a short lifetime. Both of these characterize the reaction here, so therefore the strong nuclear force is responsible.
Solution Video