In natural ((hbar=c=1)) units the mean life for the decay (Sigma^{0} ightarrow Lambda+gamma), where (Sigma^{0}) and

In natural \((\hbar=c=1)\) units the mean life for the decay \(\Sigma^{0} \rightarrow \Lambda+\gamma\), where \(\Sigma^{0}\) and \(\Lambda\) are elementary particles and \(\gamma\) is a photon, is

where \(M_{\Sigma}\) and \(M_{\Lambda}\) are the masses of the elementary particles, \(E_{\gamma}\) is the energy of the photon, and \(\pi / e^{2} \sim 137 / 4\). What is the lifetime in seconds for this decay if \(\left(M_{\Lambda}+M_{\Sigma}\right)=2307 \mathrm{MeV}\) and \(E_{\gamma}=74.5 \mathrm{MeV} ?

Transcribed Image Text:

T = (M + M) e E3