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Introduction to Heavy Ion Physics

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Rapidity and Pseudorapidity<br />

rapidity<br />

pseudorapidity<br />

y<br />

<br />

1<br />

2<br />

<br />

log<br />

<br />

<br />

E<br />

E<br />

<br />

<br />

p<br />

p<br />

z<br />

z<br />

<br />

<br />

<br />

h 1 2 log p p z<br />

<br />

p p z<br />

<br />

1<br />

2 log(tan(q 2 ))<br />

• in the ultrarelativistic limit: p ~ E h ~ y<br />

• for the transverse variables:<br />

<br />

rapidity<br />

pseudorapidity<br />

p<br />

E<br />

z<br />

m<br />

m<br />

T<br />

T<br />

sinh( y)<br />

cosh( y)<br />

p<br />

p<br />

z<br />

<br />

<br />

p<br />

p<br />

T<br />

T<br />

sinh( h)<br />

cosh( h)<br />

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

98

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