Discussion
Energetic particle \( K^{-} \) interacts with proton and induces the following reaction
\[ P+K^{-}\to\Omega^{-}+K^{0}+K^{+}+\pi^{+}+\pi^{-} \]
By assigning strangeness number to all other particles, the estimated strangeness of \( \Omega^{-} \) particle is :
Answer: B
The strangeness of the \( \Omega^{-} \) is −3.
Strangeness is conserved in this strong interaction. The proton and the pions have \( S = 0 \), the \( K^{-} \) has \( S = -1 \), and the \( K^{0} \) and \( K^{+} \) each have \( S = +1 \):
\[ \begin{aligned} 0 + (-1) &= S_{\Omega} + 1 + 1 + 0 + 0 \\ S_{\Omega} &= -3 \end{aligned} \]
This agrees with the quark content of the \( \Omega^{-} \), sss, three strange quarks. +3 has the wrong sign, and ±2 would follow from leaving out one of the two kaons.
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