Pair double heavy diquark production in high energy proton–proton collisions

Pair double heavy diquark production in high energy proton–proton collisions
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DOI:
10.1140/epjc/s10052-015-3358-0
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发表时间:
2014-05
期刊:
The European Physical Journal C
影响因子:
--
通讯作者:
A. P. Martynenko;A. Trunin
A. P. Martynenko;A. Trunin
中科院分区:
其他
文献类型:
--
作者:
A. P. Martynenko;A. Trunin

文献摘要

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在微扰QCD和相对论夸克模型的基础上,计算了一对双重双夸克产生过程中的相对论修正和束缚态修正。考虑了与重夸克相对运动有关的产生振幅中的相对论因素,以及束缚态波函数向运动波双夸克束结态参考系的变换规律。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势讨论了静坐标系中夸克-夸克束缚态波函数的相对论修正。结果表明,所考察的效应显著地减小了非相对论截面。
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-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 a Breit-like potential. It turns out that the examined effects significantly decrease the nonrelativistic cross sections.