arXiv 0708.36292007-08-27hep-phhep-th

QCD核-核散射问题的边界条件

Boundary conditions in the QCD nucleus-nucleus scattering problem

S. Bondarenko, M. A. Braun

备注：: 19 pages, 8 figures
发表信息：: Nucl.Phys.A799:151-166,2008
DOI：: 10.1016/j.nuclphysa.2007.11.008

摘要：

在相互作用BFKL波密子的有效场论的框架下，应用于核-核散射，讨论了经典场方程的边界条件。与QCD图在边界快度的对应要求坡密子与参与核的相互作用是指数的和非定域的。常用的程函边界条件，局域的和线性的，都是在小QCD坡密子-核子耦合的限制下。经典场方程的数值解，它总结了所有的树图为中心的金-金散射，表明校正边界条件导致实质上不同的结果，相比，程函条件在早期的出版物中研究。在\cite{bom}早期发现的特定解决方案的弹丸目标对称性的故障被发现发生在大约两倍低的速度。最重要的是，由于问题的高度非线性，所发现的非对称解不是唯一的，而是形成一个快速增长的家族。作用的最小值比程函边界条件低得多，并且在10左右的rapidities处饱和。

英文摘要：

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.

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