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Symmetries in particle physics

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<strong>Symmetries</strong><br />

Isosp<strong>in</strong> and scatter<strong>in</strong>g amplitudes<br />

Use isosp<strong>in</strong> for pion-nucleon scatter<strong>in</strong>g amplitudes<br />

Remember: pions and nucleons are isop<strong>in</strong>-1 and 1/2.<br />

The total isosp<strong>in</strong> is either 1/2 or 3/2 and thus, there<br />

are only two <strong>in</strong>dependent amplitudes: and<br />

Use Clebsch-Gordan coefficients:

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