Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Which conservation law is violated in each of these proposed decays? Assume that the initial particle is stationary and the decay products have zero orbital angular momentum.
(a) $μ^{-} \to e^{-} + ν_{μ}$ ; (b) $μ^{-} \to e^{+} + ν_{e} + {v^{-}}_{μ}$ ;(c) $μ^{+} \to π^{+} + ν_{μ^{+}}$

(a) decay does not occur.

(b) decay does not occur.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Conservation law

A principle that states that a certain physical property does not charge in the course of time within an isolated physical system. or

The law states that the total energy of an isolated system does not change.

Symmetries $\leftrightarrow$ Conservation laws.

Rotation $\leftrightarrow$ Angular momentum.

Spin translation $\leftrightarrow$ momentum.

Time translation $\leftrightarrow$ Energy.

Step 2: (a) Solve μ-→e-+νμ

$μ^{-} \to e^{-} + ν_{μ} Spin angular momentum \frac{π}{2} \frac{π}{2} \frac{π}{2} Electron lepton number 0 +1 0$

Decay does not occur.

Step 3:(b) Solve μ-→e++ve+v-μ

$μ^{-} \to e^{+} + v_{e} + {v^{-}}_{μ} Charge - e e 0 0 moun lepton number 1 -1 0 -1$

Decay does not occur.

Step 4: (c) solve μ+→π++νμ+

$μ^{+} \to π^{+} + ν_{μ^{+}} moun lepton number -1 0 +1$

Mass of poin energy can not be conserved.

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Fundamentals Of Physics

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Short Answer

Which conservation law is violated in each of these proposed decays? Assume that the initial particle is stationary and the decay products have zero orbital angular momentum.
(a) $μ^{-} \to e^{-} + ν_{μ}$ ; (b) $μ^{-} \to e^{+} + ν_{e} + {v^{-}}_{μ}$ ;(c) $μ^{+} \to π^{+} + ν_{μ^{+}}$

Step by Step Solution

Step 1: Conservation law

Step 2: (a) Solve μ-→e-+νμ

Step 3:(b) Solve μ-→e++ve+v-μ

Step 4: (c) solve μ+→π++νμ+

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Fundamentals Of Physics

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Short Answer

Which conservation law is violated in each of these proposed decays? Assume that the initial particle is stationary and the decay products have zero orbital angular momentum.(a) μ-→e-+νμ ; (b) μ-→e++νe+v-μ ;(c) μ+→π++νμ+

Step by Step Solution

Step 1: Conservation law

Step 2: (a) Solve μ-→e-+νμ

Step 3:(b) Solve μ-→e++ve+v-μ

Step 4: (c) solve μ+→π++νμ+

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Which conservation law is violated in each of these proposed decays? Assume that the initial particle is stationary and the decay products have zero orbital angular momentum.
(a) $μ^{-} \to e^{-} + ν_{μ}$ ; (b) $μ^{-} \to e^{+} + ν_{e} + {v^{-}}_{μ}$ ;(c) $μ^{+} \to π^{+} + ν_{μ^{+}}$