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.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Electricity and Magnetism

Atoms and Radioactivity

Measurements

Energy Physics

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

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

Electric Charge Field and Potential

Electricity and Magnetism

Atoms and Radioactivity

Measurements

Energy Physics

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

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