Chapter 12: Q42E (page 557)

Sketch the Feynman diagram if the proposed decay is possible.
$π^{0} \to μ^{-} + {\bar{v}}_{μ}$

Short Answer

Expert verified

The proposed decay is not possible.

Step by step solution

Given data

The proposed reaction is $π^{0} \to μ^{-} + {\bar{v}}_{μ}$

Concept of Feynman diagram

A Feynman diagram is drawn to express the particle interaction in nature.

Step 3:Find conservation of energy

The conservation of energy is shown below:

$π^{0} \to μ^{-} + {\bar{v}}_{μ} 135 MeV \to 106 MeV$

The energy $106 MeV$ after the decay is less than the energy $135 MeV$ before the decay.

Step 4: Find conservation of lepton numbers

Conservation of Leptons is given below:

$π^{0} \to μ^{-} + {\bar{v}}_{μ} (0) \to (+ 1) + (- 1)$

Thus, the leptons number before the decay is equal to the leptons number after the decay.

Therefore, the Leptons number is conserved.

Find conservation of charge

Conservation of charge is:

$π^{0} \to μ^{-} + {\bar{v}}_{μ} (0) \to (- e) + (0) (0) \to (- e)$

Thus, the charge before the decay and after the decay isnot equal, which implies that the charge is not conserved.

Therefore, this decay reaction is not possible.

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Sketch the Feynman diagram if the proposed decay is possible.
$π^{0} \to μ^{-} + {\bar{v}}_{μ}$

Short Answer

Step by step solution

Given data

Concept of Feynman diagram

Step 3:Find conservation of energy

Step 4: Find conservation of lepton numbers

Find conservation of charge

One App. One Place for Learning.

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Sketch the Feynman diagram if the proposed decay is possible.π0→μ-+v¯μ

Short Answer

Step by step solution

Given data

Concept of Feynman diagram

Step 3:Find conservation of energy

Step 4: Find conservation of lepton numbers

Find conservation of charge

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Waves Physics

Engineering Physics

Physical Quantities And Units

Electrostatics

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

Sketch the Feynman diagram if the proposed decay is possible.
$π^{0} \to μ^{-} + {\bar{v}}_{μ}$