Symmetries in particle physics
Symmetries in particle physics
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 />
Therefore, the cross sections behave like<br />
At a c.m. energy of 1232 MeV there is a dramatic<br />
bump <strong>in</strong> the pion-nucleon scatter<strong>in</strong>g cross section,<br />
first discovered by Fermi <strong>in</strong> 1951. There, the pion<br />
and nucleon form a short-lived resonance state, the<br />
Δ which we know to carry I = 3/2.