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arXiv 2009.00465hep-phhep-exnucl-exnucl-th
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莫里哀理论中夸克-胶子等离子体中的重夸克辐射：辐射的角分布

Heavy Quark Radiation in the Quark-Gluon Plasma in the Moliere Theory: Angular Distribution of the Radiation

B. Blok

备注：
26 pages, 7 figures 2 tables. arXiv admin note: text overlap with arXiv:2002.11233, references added,a mistake in the numerical code for angular distributions leading to unphysical oscillations corrected
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摘要：

本文研究了在夸克-胶子等离子体中传播的重部分子的谐振子（HO）近似中加入库仑相互作用的影响（Molliere理论对QCD的推广）。在考虑谐振子（HO）近似下的BDMPSZ辐射和有效势中附加对数项描述的库仑势的条件下，在莫里哀理论的框架下，我们明确地得到了重夸克在夸克-胶子等离子体中传播的胶子辐射的横动量分布表达式.我们发现，这些库仑动量显着影响HO分布，在BDMPSZ工程，特别是小横动量，填充死锥，并减少死锥抑制重夸克辐射（死锥效应）。此外，我们还研究了相空间约束对重夸克能量损失的影响，并指出在HO近似下，同时考虑相空间约束和库仑胶子可以减小重夸克能量损失对质量的依赖性.

英文摘要：

We study the effects of adding the Coulomb interactions to the harmonic oscillator (HO) approximation of the heavy parton propagating through the quark-gluon plasma (the extension to QCD of the Molliere theory). We explicitly find the expression for the transverse momentum distribution of the gluon radiation of the heavy quark propagating in the quark gluon plasma in the framework of the Moliere theory, taking into account the BDMPSZ radiation in the harmonic oscillator (HO) approximation, and the Coulomb logarithms described by the additional logarithmic terms in the effective potential. We show that these Coulomb logarithms significantly influence the HO distribution, derived in the BDMPSZ works, especially for the small transverse momenta, filling the dead cone, and reducing the dead cone suppression of the heavy quark radiation (dead cone effect). In addition we study the effect of the phase space constraints on the heavy quark energy loss, and argue that taking into account of both the phase space constraints and of the Coulomb gluons reduces the dependence of the heavy quark energy loss on its mas in the HO approximation.

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