Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-08-27
Nucl.Phys.A799:151-166,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 8 figures
Scientific paper
10.1016/j.nuclphysa.2007.11.008
In the framework of the effective field theory for interacting BFKL pomerons, applied to nucleus-nucleus scattering, boundary conditions for the classical field equations are discussed. Correspondence with the QCD diagrams at the boundary rapidities requires pomeron interaction with the participating nuclei to be exponential and non-local. Commonly used 'eikonal' boundary conditions, local and linear in fields, follow in the limit of small QCD pomeron-nucleon coupling. Numerical solution of the classical field equations, which sum all tree diagrams for central gold-gold scattering, demonstrates that corrected boundary conditions lead to substantially different results, as compared to the eikonal conditions studied in earlier publications. A breakdown of projectile-target symmetry for particular solutions discovered earlier in \cite{bom} is found to occur at roughly twice lower rapidity. Most important, due to a high non-linearity of the problem, the found asymmetric solutions are not unique but form a family growing in number with rapidity. The minimal value for the action turns out to be much lower than with the eikonal boundary conditions and saturates at rapidities around 10.
Bondarenko Sergey
Braun Mikhail A.
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