arXiv 2203.102962022-03-19hep-ph

彩色玻璃凝聚态中的软Pomeron

Soft Pomeron in the Colour Glass Condensate approach

Carlos Contreras, Eugene Levin, Michael Sanhueza

备注：: 19pp 28 figures in pdf files
DOI：: 10.1103/PhysRevD.106.034011

摘要：

本文提出了一种研究软Pomeron结构的新方法：基于$t$ -通道么正性，用$1/Q_s(Y)$量级（$Q_s(Y)$为饱和动量）的小尺寸偶极子与强子相互作用来表示软Pomeron的交换.因此，它表明，在软过程中的典型距离是小的$r \sim 1/Q_s\Lb \h Y \Rb $，其中$Y \,=\,ln s$。饱和动量决定了散射振幅的能量依赖性，与$ Q^2_s\Lb \h Y \Rb \propto\,\exp\Lb\h λ\,Y\Rb$成正比，具有$λ\approx\,0.2$，这种行为与唯象的Donnachie-Landshoff Pomeron完全一致。我们证明了饱和模型可以描述$σ_{tot},σ_{el},σ_{diff} $和$B_{el}$的实验数据。因此，我们的方法是一个很好的第一近似开始讨论软过程的CGC方法的坚实的理论基础。

英文摘要：

In this paper we suggest a new approach to the structure of the soft Pomeron: based on the $t$-channel unitarity, we expressed the exchange of the soft Pomeron through the interaction of the dipole of small size of the order of $1/Q_s(Y)$ ($Q_s(Y)$ is the saturation momentum) with the hadrons. Therefore, it is shown that the typical distances in soft processes are small $r \sim 1/Q_s\Lb \h Y \Rb $, where $Y \,=\,ln s$. The saturation momentum, which determines the energy dependence of the scattering amplitude is proportional to $ Q^2_s\Lb \h Y \Rb \propto\,\exp\Lb\h λ\,Y\Rb$, with $λ\approx\,0.2$, and this behaviour is in perfect agreement with phenomenological Donnachie-Landshoff Pomeron. We demonstrate that the saturation models could describe the experimental data for $σ_{tot},σ_{el},σ_{diff} $ and $B_{el}$. Hence our approach is a good first approximation to start discussion of the soft processes in CGC approach on the solid theoretical basis.

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