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Chapter 12: Q34E (page 557)

Sketch the Feynman diagram if the proposed decay is possible.

μ+→e++ve

Short Answer

Expert verified

The decay is not possible as the lepton number is not conserved.

Step by step solution

01

Given data

The proposed reaction is μ+→e++ve

02

Concept of Feynman diagram

A Feynman diagram is used to show the interaction of particles in quantum field theory. The particles are represented by the lines in the diagram.

03

Step 3:Find whether the charge is conserved

Conservation of charge is shown below:

μ+→e++ve(+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.

μ+→e++ve106MeV/c2→0.511MeV/c2

The mass after the decay is 0.511MeV/c2 less than that of the initial mass 106MeV/c2.

05

Find conservation of lepton number

Conservation of lepton number:

μ+→e++ve(-1)→(-1)+(-1)(-1)→(-2)

The lepton number is not conserved.

Therefore, the proposed decay is not possible

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Most popular questions from this chapter

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Sketch the Feynman diagram if theproposed decay is possible.

τ+→e++ve+vτ→

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