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arXiv 1405.0969hep-ph
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高能质子-质子碰撞中双重双夸克对的产生

Pair double heavy diquark 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,计算了双重双夸克产生过程中的相对论修正和束缚态修正。考虑了产生振幅中与重夸克相对运动有关的相对论因素和运动S波双夸克束缚态的束缚态波函数到参考系的变换规律。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势研究了静止坐标系下夸克-夸克束缚态波函数的相对论修正。结果表明,所研究的效应显着减少非相对论截面。

英文摘要:

On the basis of perturbative QCD and relativistic quark model we calculate relativistic and bound state corrections in the production processes of a pair of double heavy diquarks. Relativistic factors in the production amplitude connected with the relative motion of heavy quarks and the transformation law of the bound state wave function to the reference frame of the moving S-wave diquark bound states are taken into account. For the gluon and quark propagators entering the amplitudes we use a truncated expansion in relative quark momenta up to the second order. Relativistic corrections to the quark-quark bound state wave functions in the rest frame are considered by means of the Breit-like potential. It turns out that the examined effects significantly decrease nonrelativistic cross sections.

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