TY - JOUR
T1 - Dipole-dipole scattering amplitude in the CGC approach
AU - Levin, Eugene
N1 - Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
PY - 2023/3/1
Y1 - 2023/3/1
N2 - In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. We resolve these relations in the diffusion approximation for the BFKL kernel. Based on this solution, we found the sum of large Pomeron loops. This sum generates the scattering amplitude that decreases at large values of rapidity Y. It turns out that such behavior of the scattering amplitudes is an artifact of diffusion approximation. This approximation leads to the unitarization without saturation both in deep inelastic scattering and in dipole-dipole interaction at high energies.
AB - In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. We resolve these relations in the diffusion approximation for the BFKL kernel. Based on this solution, we found the sum of large Pomeron loops. This sum generates the scattering amplitude that decreases at large values of rapidity Y. It turns out that such behavior of the scattering amplitudes is an artifact of diffusion approximation. This approximation leads to the unitarization without saturation both in deep inelastic scattering and in dipole-dipole interaction at high energies.
UR - http://www.scopus.com/inward/record.url?scp=85150927773&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.107.054012
DO - 10.1103/PhysRevD.107.054012
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AN - SCOPUS:85150927773
SN - 2470-0010
VL - 107
JO - Physical Review D
JF - Physical Review D
IS - 5
M1 - 054012
ER -