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arXiv 1302.6726hep-ph
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高能质子-质子碰撞中η c对产生的相对论修正

Relativistic corrections to η_c-pair production in high energy proton-proton collisions

A. P. Martynenko, A. M. Trunin

摘要:

在微扰QCD和相对论夸克模型的基础上,计算了LHC能区质子-质子相互作用中双$η_c$介子产生的相对论修正。考虑了产生振幅中与重夸克相对运动有关的相对论项和束缚态波函数到运动粲夸克参考系的变换规律。对于进入振幅的胶子和夸克传播子,我们使用相对夸克动量的截断展开直到二阶。利用类Breit势考虑了夸克束缚态波函数的相对论修正。结果表明,在LHCb探测器快度区,所研究的效应使总的非相对论截面减小了2倍以上,并对20个中子产生了影响。

英文摘要:

On the basis of perturbative QCD and the relativistic quark model we calculate relativistic corrections to the double $η_c$ meson production in proton-proton interactions at LHC energies. Relativistic terms in the production amplitude connected with the relative motion of heavy quarks and the transformation law of the bound state wave functions to the reference frame of moving charmonia are taken into account. For the gluon and quark propagators entering the amplitude we use a truncated expansion in relative quark momenta up to the second order. Relativistic corrections to the quark bound state wave functions are considered by means of the Breit-like potential. It turns out that the examined effects decrease total nonrelativistic cross section more than two times and on 20 percents in the rapidity region of LHCb detector.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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