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Chapter 12: Q34E (page 557)

Sketch the Feynman diagram if the proposed decay is possible.

渭+鈫�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 渭+鈫�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:

渭+鈫�e++ve(+e)鈫�(+e)+(0)(+e)鈫�(+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.

渭+鈫�e++ve106MeV/c2鈫�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:

渭+鈫�e++ve(-1)鈫�(-1)+(-1)(-1)鈫�(-2)

The lepton number is not conserved.

Therefore, the proposed decay is not possible

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Most popular questions from this chapter

Exercises 23 and 24 give the threshold energies for which two particles of mass m can produce a given mass M in collidingbeam and stationary-target accelerator. Evaluate the two for a collision in which two protons become three protons and one antiproton. How much more energy is neededfor the stationary target?

Sketch the Feynman diagram if the proposed decay is possible.

蟺0鈫�渭-+v炉渭

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p+p鈫�p+K++蚂0

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