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arXiv 1005.0769hep-ph
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夸克-胶子等离子体中的夸克偶素和重夸克弛豫时间

Quarkonia and Heavy-Quark Relaxation Times in the Quark-Gluon Plasma

F. Riek, R. Rapp

摘要:

采用弹性二体相互作用的热力学T矩阵方法计算了夸克-胶子等离子体中开和隐重夸克系统的谱函数。这使得夸克偶素的束缚态性质和重夸克扩散的评价在一个共同的基础上,从而获得相互约束。两体相互作用内核近似的类空动量转移的潜在图片。一个有效的场理论模型相结合的颜色库仑和限制条款实施相对论修正和不同的颜色通道。四个相关的模型参数,表征耦合强度和屏蔽,调整再现色平均重夸克自由能计算热格点量子色动力学。该方法是测试对真空光谱在开放(D,B)和隐藏(PSI和Upperdance)的味道部门,以及在高能量极限的弹性微扰QCD散射。阐明了四维Bethe-Salpeter方程静态简化格式的理论不确定性。利用夸克偶素谱函数计算了欧几里德散射子,并结合格点量子色动力学结果讨论了欧几里德散射子,利用Fokker-Planck方程计算了重夸克的弛豫速率和扩散系数.

英文摘要:

A thermodynamic T-matrix approach for elastic 2-body interactions is employed to calculate spectral functions of open and hidden heavy-quark systems in the Quark-Gluon Plasma. This enables the evaluation of quarkonium bound-state properties and heavy-quark diffusion on a common basis and thus to obtain mutual constraints. The two-body interaction kernel is approximated within a potential picture for spacelike momentum transfers. An effective field-theoretical model combining color-Coulomb and confining terms is implemented with relativistic corrections and for different color channels. Four pertinent model parameters, characterizing the coupling strengths and screening, are adjusted to reproduce the color-average heavy-quark free energy as computed in thermal lattice QCD. The approach is tested against vacuum spectroscopy in the open (D, B) and hidden (Psi and Upsilon) flavor sectors, as well as in the high-energy limit of elastic perturbative QCD scattering. Theoretical uncertainties in the static reduction scheme of the 4-dimensional Bethe-Salpeter equation are elucidated. The quarkonium spectral functions are used to calculate Euclidean correlators which are discussed in light of lattice QCD results, while heavy-quark relaxation rates and diffusion coefficients are extracted utilizing a Fokker-Planck equation.

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