Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

There is no known meson with charge quantum number $q = + 1$ and strangeness $S = - 1$ or with $q = - 1$ and . $S = + 1$ Explain why in terms of the quark model.

Mesons with strangeness $S = - 1$ can have charge $q = - 1, 0$ and those strangeness role="math" localid="1663136410092" $S = + 1$ can have charge $q = 1, 0$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data

No meson has charge $q = + 1$ and strangeness $S = - 1$ or charge $q = - 1$ and strangeness. $S = + 1$

Step 2: Quantum numbers of quarks

The up, charm and top quarks and charge $q = 2 / 3$ and the down, strange and bottom quarks have charge $q = - 1 / 3$ . The anti quarks have negative charges with magnitude same as those of the respective quarks. Only the strange quark has strangeness $S = - 1$ and the anti strange has strangeness. $S = 1$ The rest of the quarks have zero strangeness.

Step 3: Determining the reason why mesons don't have charge q=+1 and strangeness S=-1 or chargeq=-1 and strangeness S=+1

A meson is made up of one quark and one anti-quark. For a meson to have strangeness, $S = - 1$ it must have a strange quark. The accompanying anti-quark can be anything except an anti-strange. If the anti-quark is an anti-up, anti-charm or anti-top, the net charge of the meson will be. $- \frac{2}{3} - \frac{1}{3} = - 1$ If the anti-quark is an anti-down or anti-bottom the net charge of the meson will be. $\frac{1}{3} - \frac{1}{3} = 0$ Thus, charge $q = + 1$ and strangeness $S = - 1$ is not possible.

For a meson to have strangeness $S = 1$ , it must have an anti-strange quark. The accompanying quark can be anything except a strange quark. If the quark is a up quark, a charm or a top, the net charge of the meson will be $\frac{2}{3} + \frac{1}{3} = 1$ . If the quark is a down or a bottom the net charge of the meson will be $- \frac{1}{3} + \frac{1}{3} = 0$ . Thus, charge $q = - 1$ and strangeness is $S = + 1$ not possible.

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Fundamentals Of Physics

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Short Answer

There is no known meson with charge quantum number $q = + 1$ and strangeness $S = - 1$ or with $q = - 1$ and . $S = + 1$ Explain why in terms of the quark model.

Step by Step Solution

Step 1: Given data

Step 2: Quantum numbers of quarks

Step 3: Determining the reason why mesons don't have charge q=+1 and strangeness S=-1 or chargeq=-1 and strangeness S=+1

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Fundamentals Of Physics

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Short Answer

There is no known meson with charge quantum number q=+1 and strangeness S=-1 or with q=-1 and .S=+1 Explain why in terms of the quark model.

Step by Step Solution

Step 1: Given data

Step 2: Quantum numbers of quarks

Step 3: Determining the reason why mesons don't have charge q=+1 and strangeness S=-1 or chargeq=-1 and strangeness S=+1

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There is no known meson with charge quantum number $q = + 1$ and strangeness $S = - 1$ or with $q = - 1$ and . $S = + 1$ Explain why in terms of the quark model.