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Chapter 39: Problem 28

Determine the quark composition of the \(\pi^{-}.\)

Short Answer

Expert verified
The quark composition of \(\pi^{-}\) is \(d\overline{u}\).

Step by step solution

01

Identify the type of pion and its charge

Know that the pion is negatively charged (\(\pi^{-}\)). So the total charge of the quark and antiquark needs to be -1.
02

Analyze the charge of the quark and antiquark

From the known fact that up quark (\(u\)) has a charge of \(+\frac{2}{3}e\) and down quark (\(d\)) has a charge of \(-\frac{1}{3}e\), with \(e\) representing the magnitude of the charge of an electron, it can be inferred that an anti-up quark (\(\overline{u}\)) will have a charge of \(-\frac{2}{3}e\) and an anti-down quark (\(\overline{d}\)) will have a charge of \(+\frac{1}{3}e\).
03

Determining the quark composition

To obtain a total charge of -1 (since the charge of \(\pi^{-}\) is -1), the pion needs to be composed of a down quark \(d\) and an anti-up quark \(\overline{u}\) since \(-\frac{1}{3}e - \frac{2}{3}e = -e\), which is the total charge of a \(\pi^-\).

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