1.

Which of the following processes are forbidden by the law of conservation of lepton charge: `(1)nrarrp+e^(_)+v`, (2) `pi^(+)rarrmu^(+)+e^(-)+e^(++)`, (3) `pi^(-)rarrmu^(-)+v`, (4)`p+e^(-)rarrn+v`, (5)`mu^(+)rarre^(+)v+overset(~)v`, (6) `K^(-)rarr mu^(-)+overset(~)v` ?

Answer» (1) The process `nrarrp+e^(-)+v_(e )` cannot occur as there are `2` more leptons `(e^(-),v_(e ))` on the right compared to zero on the left.
(2) The process `pi^(+)rarr mu^(+)e^(-)+e^(+)` is forbidden because this corresponds to a change of lepton number by, (`0` on the left -1 on the right)
(3) The process `pi^(-)rarr mu^(-)+v_(mu)` is forbidden `mu^(-), v_(mu)` being both leptons `DeltaL=2hre`.
(4),(5),(6) are allowed (except that one must distinguish between muon neutrinoes and electron neutrinoes). The correct names would be
(4) `P+e^(-)rarrn+v_(e )`
(5) `mu^(+)rarre^(+)+v_(e )+overset(~)v_(mu)`
(6) `K^(-)rarr mu^(-)+overset(~)v_(mu)`.


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