论文标题

玩具界的核:超越横向尺寸的波美龙

Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions

论文作者

Kovner, A., Levin, E., Lublinsky, M.

论文摘要

我们探讨了$ t $ -CHANNEL和$ S $ -SUNNENEL统一模型的高能量演化模型,以零横向尺寸适用于非常高的能量/原子数,其中玩具Hadon中的偶极密度在参数上是很高的。我们建议适当的概括能够在能量进化的一步中发射更多的偶极子。我们明确地构建了这样的模型,该模型保留了$ t $通道和S通道单位性,并具有正确的低密度极限,并研究了由于此演变而产生的粒子多样性分布。我们考虑在初始速度下单个偶极子和许多偶极子的初始条件。我们观察到,此模型中的饱和度状态在迅速范围$ \ frac {1} {α_s} {α_s} \ ln \ frac {1} {α_s} <y <y <\ frac {1} {1} {α_s} {α_S} \ ln \ frac nector不重要,但多次排放决定了进化的特性。我们还讨论了饱和度对Parton Cascade的影响,尤其是发现在饱和度方案中,Partons的熵变为$ s \ h \ ln n $,其中$ n $是平均多重性。

We explore possible extensions of the $t$-channel and $s$-channel unitary model of high energy evolution in zero transverse dimensions appropriate to very high energy/atomic number where the dipole density in a toy hadron is parametrically high.We suggest that the appropriate generalization is to allow emission of more than one dipole in a single step of energy evolution. We construct explicitly such a model that preserves the $t$-channel and s-channel unitarity and have the correct low density limit, and study the particle multiplicity distribution resulting from this evolution. We consider initial conditions of a single dipole and many dipoles at initial rapidity. We observe that the saturation regime in this model is preceded by a parametric range of rapidities $\frac{1}{α_s}\ln\frac{1}{α_s}<Y<\frac{1}{α_s}\ln\frac{1}{α_s^2}$, where the saturation effects are still unimportant, but multiple emissions determine the properties of the evolution. We also discuss the influence of the saturation on the parton cascade and, in particular, find that in the saturation regime the entropy of partons becomes $S \approx \h \ln N$ where $N$ is the mean multiplicity.

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