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arXiv 0811.0998hep-ph
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从λ偏振研究饱和尺度及其与x的关系

The saturation scale and its x-dependence from Lambda polarization studies

Daniel Boer, Andre Utermann, Erik Wessels

摘要:

高能p-A碰撞中产生的前向λ超子的横向极化在饱和尺度附近的横向动量处呈现极值。这是第一次观察到的背景下,麦克莱兰Venugopalan模型,其中有一个x独立的饱和度。由于极化相关碎裂函数的k_t-奇性,该极值近似地探测偶极散射振幅的导数。振幅在饱和标度附近变化最强烈,导致偏振峰值。我们发现,观察也扩展到更现实的情况下,饱和度标度Q_s是x依赖的。由于在给定的横动量和快度下,x的范围以及Q_s值是被探测的,所以这个结果是先验地不期望的。此外,在x_F值的范围内的λ偏振的测量实际上提供了饱和标度的x依赖性的直接探测。这一新的功能是典型的大型强子对撞机的运动学和偶极散射振幅的几个唯象模型证明。我们表明,虽然测量将是具有挑战性的,它可能是可行的LHC。RHIC的情况并不乐观,因为峰值很可能位于太低的Lambda横向动量处,而不能作为可靠的饱和尺度。

英文摘要:

The transverse polarization of forward Lambda hyperons produced in high-energy p-A collisions is expected to display an extremum at a transverse momentum around the saturation scale. This was first observed within the context of the McLerran-Venugopalan model which has an x-independent saturation scale. The extremum arises due to the k_t-odd nature of the polarization dependent fragmentation function, which probes approximately the derivative of the dipole scattering amplitude. The amplitude changes most strongly around the saturation scale, resulting in a peak in the polarization. We find that the observation also extends to the more realistic case in which the saturation scale Q_s is x dependent. Since a range of x and therefore Q_s values is probed at a given transverse momentum and rapidity, this result is a priori not expected. Moreover, the measurement of Lambda polarization over a range of x_F values actually provides a direct probe of the x dependence of the saturation scale. This novel feature is demonstrated for typical LHC kinematics and for several phenomenological models of the dipole scattering amplitude. We show that although the measurement will be challenging, it may be feasible at LHC. The situation at RHIC is not favorable, because the peak will likely be at too low transverse momentum of the Lambda to be a trustworthy measure of the saturation scale.

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