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Length of the walk rapidity, y as each step a change in rapidity of few units Implications: ∝ n ∝ y =⇒ R 2 = R 2 0 + cy ≡ R 2 0 + c ′ lns (a) The transverse size of the soft wee parton cloud should logarithmically grow wit energy. Logarithmic increase of the t-slope of the elastic hadron-hadron scattering amplitude with energy: f (t) ∝ exp(Bt/2), B(s) = B0 + 2α ′ ln(s/s0) α ′ ∝ 1/k 2 t0 6 6
z-x cut of the fast nucleon the rate of increase of transverse size with x decreases with increase of the resolution scale transverse size of the parton cloud Momentum P in z direction → < x > z = rN xP → wee parton are spread over 1 fm even at high energies 7 Transverse size of x>0.1 quarks and gluons is smaller than the average proton size predominantly due to the pion cloud effects - Frankfurt, MS, Weiss - will discuss later 7
Page 1 and 2: HERA impact for QCD dynamics at LHC
Page 3 and 4: Outline • Imaging a fast nucleon.
Page 5: Image of nucleon at different resol
Page 9: Implication - hard processes corres
Page 12: )'
Page 16 and 17: Binkley et al .9:%);3*&#55:?3:4#@&3
Page 19 and 20: 2! " F g (x, ", Q 2 ) / fm -1 2 1 0
Page 22 and 23: Experimentally one measures the rat
Page 24 and 25: In order to analyze the strengths o
Page 26 and 27: Consider first “small dipole - ha
Page 28 and 29: Impact parameter distribution in
Page 30 and 31: Can use hard diffraction to check p
Page 33 and 34: (P gg ⊗ g) / g 1.4 1.2 1 0.8 0.6
Page 35 and 36: | Γ pp (b) | 2 Study of the elasti
Page 37 and 38: 2 ! b P in (b) / fm -1 1 0.8 0.6 0.
Page 39 and 40: Impact parameter distribution for a
Page 41 and 42: New phenomena when going to LHC ene
Page 43: To estimate the maximum transverse
Page 46 and 47: pp→h+X Z 1 dN = ∑ dxx fa(x,Q N
Page 48 and 49: Cosmic rays of ultrahigh energies:
Page 50 and 51: P H Y S I C A L R E V I E W L E T T
Page 54: | Γ pp (b) | 2 Warning - it is not

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