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Introduction to Heavy Ion Physics

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Invariant cross-section<br />

• A + B a 1 + a 2 + … + a n<br />

• we may be interested only in the production of a specific type of<br />

particle e.g.:<br />

Pb + Pb W + X<br />

• Differential cross section:<br />

• but d 3 p is not Lorentz invariant; is used instead:<br />

3<br />

d p<br />

E<br />

dp<br />

x<br />

dp<br />

y<br />

dy<br />

<br />

d<br />

d<br />

3<br />

<br />

3<br />

p W<br />

d 3<br />

p<br />

E<br />

Lorentz-invariant for a boost along z<br />

8-th Summer School on Nuclear <strong>Physics</strong>, 3-12/07/12<br />

100

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