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91Ó°ÊÓ

Sketch the Feynman diagram if the proposed decay is possible.

K+→μ++v¯μ

Short Answer

Expert verified

The proposed decay is not possible.

Step by step solution

01

Given data

The proposed reaction is K+→μ++v¯μ

02

Concept of Feynman diagram

Particle interactions can be represented as Feynman diagrams. Different types of lines are drawn in the diagrams.

03

Step 3:Find whether the charge is conserved

Conservation of charge is shown below:

K+→μ++v¯μ(+e)→(+e)+(0)(+e)→(+e)

Thus, the charge before the decay and after the decay is equal.

Therefore, the charge is conserved.

04

Find conservation of mass

Conservation of mass is given below:

K+→μ++v¯μ494MeV/c2→106MeV/c2

The mass after the decay is 106MeV/c2 less than that of the initial mass 494MeV/c2.

05

Find conservation of lepton number

Conservation of lepton number:

K+→μ++v¯μ(0)→(-1)+(-1)(0)→(-2)

The lepton number is not conserved.

Therefore, this decay is not possible.

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