Question

1. Question: By examining strangeness, determine which of the following decays or reactions proceed via the strong interaction: (a) ${\mathit{K}}^{\mathbf{0}}\mathbf{\to }{\mathit{\pi }}^{\mathbf{+}}\mathbf{+}{\mathit{\pi }}^{\mathbf{-}}$ (b) ${\mathit{\Lambda }}^{\mathbf{0}}\mathbf{+}\mathit{p}\mathbf{\to }{\mathit{\Sigma }}^{\mathbf{+}}\mathbf{+}\mathit{n}$(c) ${\mathit{\Lambda }}^{\mathbf{0}}\mathbf{\to }\mathit{p}\mathbf{+}{\mathit{\pi }}^{\mathbf{-}}$(d)${\mathit{K}}^{\mathbf{-}}\mathbf{+}\mathit{p}\mathbf{\to }{\mathit{\Lambda }}^{\mathbf{0}}\mathbf{+}{\mathit{\pi }}^{\mathbf{0}}$.

Short answer

1. Strangeness is not conversed.
2. Strangeness is not conversed.
3. Strangeness is not conversed.
4. Strangeness is conversed.

Step-by-step solution

(a) Strangeness of K0→π++π-.

The strangeness of $K^0$is $+1$and the strangeness of${\pi }^{+}$is 0 and strangeness of ${\pi }^{-}$is$0$.

Thus, strangeness is not conversed.

Hence, it does not proceed via strong interaction.

(b) Strangeness of Λ0+p→∑++n.

The strangeness of${\Lambda }^0$ is$-1$ and$p$ is $0$and the strangeness $\sum ^{+}$of is $1$ and strangeness of$n$is $0$.

Thus, strangeness is not conversed.

Hence, it does not proceed via strong interaction.

(c) Strangeness of Λ0→p+π- .

The strangeness of${\Lambda }^0$ is $-1$and the strangeness of $p$is $0$and${\pi }^{-}$ is $0$.

Thus, strangeness is not conversed.

Hence, it does not proceed via strong interaction.

(d) Strangeness of K-+p→Λ0+π0 ..

The strangeness of$K^{-}$ is$-1$ and$p$ is$0$ and the strangeness of${\Lambda }^0$ is$-1$ and${\pi }^0$ is$0$ .

Thus, strangeness is conversed.

Hence, it proceed via strong interaction.