1.

Indicate the reasons why the following processes are forbidden: (1) `Sigma^(-)rarr^^ ^(0)+pi^(-)`, (2) `pi^(-)+prarrK^(+)+K^(-)`, `K^(-)+n rarr Omega^(-)+K^(+)+K^(0)`, (6) `murarr e^(-)+v_(e )+v_(mu)`.

Answer» (1)` Sigma^(-)Sigma^(-)rarr^^ ^(0)+pi^(-)`,
(2) `pi^(-)+prarr K^(+)+K^(-)`,
`K^(-)+n rarr Omega^(-)+K^(+)+K^(0)`,
(6) `murarr e^(-)+v_(e )+v_(mu)`.
is forbidden by energy conservation. The mass difference
`M_(Sigma)-M_(^^ ^(0))= 82(MeV)/(c^(2)) lt m_(pi)^(-)`
( The process `1rarr 2+3` will be allowed only if `m_(1)gt m_(2)+m_(3)`.)
(2) `pi^(-)+prarrK^(+)K^(-)`
is disallowed by conservation of baryon number.
(3) `K^(-)+n rarr Omega^(-)+K^(+)+K^(0)`
is forbidden by conservation of charge
(4) `n+prarr Sigma^(+)^^ ^(0)`
is forbidden by strangerness conservation.
(5) `pi^(-)rarrmu^(-)+e^(-)+e^(+)`
is forbidden by conservation of muon number (or lepton number).
(6) `mu^(-)rarre^(-)+v_(e )+ overset(~)v_(mu)`
is forbidden by the seperate conservation of muon number as well as lepton number.


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