TY - JOUR

T1 - On the shape of a rapid hadron in QCD

AU - Blok, B.

AU - Frankfurt, L.

AU - Strikman, M.

N1 - Funding Information:
One of us B. Blok thanks S. Brodsky for the useful discussions of the results obtained in the Letter. This work was supported in part by the US DOE Contract Number DE-FG02-93ER40771 and BSF.

PY - 2009/8/17

Y1 - 2009/8/17

N2 - We visualize the fundamental property of pQCD: the smaller is the size of the colorless quark-gluon configuration, more rapid is the increase of its interaction with energy. Within the frame of the dipole model we use the kt factorization theorem to generalize the DGLAP approximation and/or leading ln (x0 / x) approximation and evaluate the interaction of the quark dipole with a target. In the limit of fixed Q2 and x → 0 we find the increase with energy of transverse momenta of quark (antiquark) within the q over(q, ̄) pair produced by the strongly virtual photon. The average pt2 is evaluated analytically within the double logarithmic approximation. We demonstrate that the invariant mass2 of the q over(q, ̄) pair increases with the energy as 0.7 Q2 (10- 2 / x)0.4 αs Nc / π, for transverse photons, and ∼ 0.7 Q2 exp 0.36 [(αs Nc / π) log (10- 2 / x)]1 / 2 for longitudinal photons. We found similar pattern of the energy dependence of M2 in the LO DGLAP approximation generalized to account for the kt factorization. We discuss the impact of the found phenomenon on the dependence of the coherence length on the collision energy and demonstrate that in the regime of complete absorption effective shape of the sufficiently energetic hadron (nucleus) has the biconcave form instead of the pancake. We explain that the different representations of chiral symmetry for the central and peripheral collisions would be characteristic property of hadron (nucleus) nucleus collisions at large energies. Some implications of the found phenomena for pp collisions are discussed.

AB - We visualize the fundamental property of pQCD: the smaller is the size of the colorless quark-gluon configuration, more rapid is the increase of its interaction with energy. Within the frame of the dipole model we use the kt factorization theorem to generalize the DGLAP approximation and/or leading ln (x0 / x) approximation and evaluate the interaction of the quark dipole with a target. In the limit of fixed Q2 and x → 0 we find the increase with energy of transverse momenta of quark (antiquark) within the q over(q, ̄) pair produced by the strongly virtual photon. The average pt2 is evaluated analytically within the double logarithmic approximation. We demonstrate that the invariant mass2 of the q over(q, ̄) pair increases with the energy as 0.7 Q2 (10- 2 / x)0.4 αs Nc / π, for transverse photons, and ∼ 0.7 Q2 exp 0.36 [(αs Nc / π) log (10- 2 / x)]1 / 2 for longitudinal photons. We found similar pattern of the energy dependence of M2 in the LO DGLAP approximation generalized to account for the kt factorization. We discuss the impact of the found phenomenon on the dependence of the coherence length on the collision energy and demonstrate that in the regime of complete absorption effective shape of the sufficiently energetic hadron (nucleus) has the biconcave form instead of the pancake. We explain that the different representations of chiral symmetry for the central and peripheral collisions would be characteristic property of hadron (nucleus) nucleus collisions at large energies. Some implications of the found phenomena for pp collisions are discussed.

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U2 - 10.1016/j.physletb.2009.07.015

DO - 10.1016/j.physletb.2009.07.015

M3 - Article

AN - SCOPUS:68249098934

VL - 679

SP - 122

EP - 129

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -