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arXiv 1609.07657hep-ph
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关于Froissart渐近行为的部分子图象

On the parton picture of Froissart asymptotic behavior

O. V. Kancheli

摘要:

在部分子图象中,高能截面的Froissart(\F)渐近行为通常表现为两个充满部分子的几乎黑色圆盘碰撞过程中的一种行为,当这些\F -圆盘的半径与它们的能量对数成正比增长时.在这篇文章中,我们简要地总结了\F -盘的主要渐近性质,人们可以预期在QCD。~~然后我们考虑在两个这样的\F -圆盘碰撞过程中,是否有可能保证透明$T(s,b) = 1 - σ_{in}(s,b)$的助推不变性,其中$σ_{in}(s,b)$是在确定的碰撞参量$b$下的总非弹性截面。这个问题的产生是因为在相同的碰撞参量b和总能量$\sqrt{s}$ ~,~下,碰撞\F -盘的重叠的平均横截面积随洛伦兹坐标系而变化。~~我们证明了对于通常在QCD中所期望的\F -盘,在靠近\F -盘边界的某些$b$处,$T(s,b)$的值不是提升不变的.结果表明,\F型行为似乎是矛盾的,或者高能Fock波函数中的多部分子系统必须以一种相当不寻常的方式排列。

英文摘要:

The Froissart (\F) asymptotic behavior of high energy cross-sections, if considered in a parton picture, is usually represented as a kind of behavior that occurs in the process of a collision of two almost black disks, filled with partons, when radiuses of these \F - disks grow proportional to log's of there energies. In this article we briefly summarize the main asymptotic properties of \F - disks that one can expect in QCD. ~~Then we consider if it is possible to guarantee the boost-invariance of transparency $T(s,b) = 1 - σ_{in}(s,b)$, where $σ_{in}(s,b)$ is the total inelastic cross-section at a definite impact parameter $b$, in process of collision of two such \F-disks. Such a question arise because the mean transverse area of the overlapping of colliding \F- disks, at the same impact parameter b and total energy $\sqrt{s}$~,~ is varying with the Lorentz frame. ~~We show that the value of $T(s,b)$ is not boost-invariant at some $b$ close to the \F- disk border for the \F- disks usually expected in QCD. As result the \F type behavior seems contradictory, or the multiparton system in the high energy Fock wave function must be arranged in rather unusual way.

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