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Transparencies pdf - Desy

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Impact parameter distribution in “h”(dipole)p interaction<br />

Study of the elastic scattering allows to determine how the strength of the<br />

interaction depends on the impact parameter, b:<br />

Z<br />

Γh(s,b) = 1<br />

2is<br />

Z<br />

σtot = 2<br />

σel =<br />

σinel =<br />

Note that elastic unitarity:<br />

1<br />

(2π) 2<br />

Z<br />

Z<br />

d 2 qe iqb AhN(s,t)<br />

d 2 bReΓ(s,b)<br />

d 2 b|Γ(s,b)| 2<br />

d 2 b(1 − (1 − ReΓ(s,b)) 2 − [ImΓ(s,b)] 2<br />

Γ(b) = 1 ≡ σinel = σel<br />

- black disk limit -BDL<br />

; ImA = sσtot exp(Bt/2)<br />

1<br />

2 ImA = |A|2 + ... allows Γ(b) ≤ 2<br />

)<br />

28

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