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arXiv 2103.10088hep-ph
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硬衍射的解析渐近性

Analytical asymptotics for hard diffraction

Anh Dung Le, Alfred H. Mueller, Stéphane Munier

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20 pages, 2 figures
发表信息：
Phys. Rev. D 104, 034026 (2021)
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摘要：

我们表明，在总快度$Y$和需要最小快度间隙$Y_{\text{gap}}$的情况下，小鎓从大核衍射解离的截面可以在一个明确定义的参数极限内，用一个简单的经典可观测随机过程来表示，随着其快度的增加，鎓的状态以色偶极分支的形式演化：在一个将鎓原子演化为快度$Y-Y_{\text{gap}}$的坐标系中观察，它与偶数个偶极原子有效参与散射的概率的两倍形式上一致。因此，找到Kovchegov-Levin方程的渐近解，该方程决定衍射截面的$Y$依赖性，归结为解决概率问题。这样的配方授权的间隙分布的参数自由的解析表达式的推导。有趣的是，许多偶极子同时相互作用的事件起着重要的作用，因为参与相互作用的偶极子的数量$k$的分布与$1/[k(k-1)]$成正比。

英文摘要：

We show that the cross section for diffractive dissociation of a small onium off a large nucleus at total rapidity $Y$ and requiring a minimum rapidity gap $Y_{\text{gap}}$ can be identified, in a well-defined parametric limit, with a simple classical observable on the stochastic process representing the evolution of the state of the onium, as its rapidity increases, in the form of color dipole branchings: It formally coincides with twice the probability that an even number of these dipoles effectively participate in the scattering, when viewed in a frame in which the onium is evolved to the rapidity $Y-Y_{\text{gap}}$. Consequently, finding asymptotic solutions to the Kovchegov-Levin equation, which rules the $Y$-dependence of the diffractive cross section, boils down to solving a probabilistic problem. Such a formulation authorizes the derivation of a parameter-free analytical expression for the gap distribution. Interestingly enough, events in which many dipoles interact simultaneously play an important role, since the distribution of the number $k$ of dipoles participating in the interaction turns out to be proportional to $1/[k(k-1)]$.

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