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arXiv 1409.2010hep-phnucl-th
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介质诱导射流演化:波turbulence和能量损失

Medium-induced jet evolution: wave turbulence and energy loss

Leonard Fister, Edmond Iancu

摘要:

研究了高能部分子在稠密QCD介质中传播时,由介质诱导的连续分支产生的胶子级联。我们专注于高能量区的领导粒子的能量$E$是远远大于特征介质尺度$ω_c=\hat q L^2/2$,与$\hat q$的射流淬火参数和$L$通过介质的距离。在这种状态下,领先粒子只损失一小部分能量$\simα_s(ω_c/E)$,可以被视为具有能量$ω\leω_c$的胶子的稳定辐射源。对于这个有源的有效问题,我们得到了胶子谱和能流的精确解析解。这些解表现出波动:基本的物理过程是一种连续的碎裂,它是“准民主”的(即能量上的准局部),并以一种准独立于$ω$的速率(能通量$\mathcal{F}$)提供从源到介质的能量转移。分支过程的定域性意味着一个Kolmogorov-Obukhov型谱,即一个幂律谱,它是分支过程的一个不动点,其强度与能流成正比:$ω\llω_c$对应$D(ω)\sim\mathcal{F}/\sqrtω$。通过这种湍流,胶子级联向介质损失能量$ΔE\simα_s^2ω_c$,该能量与领先粒子的初始能量$E$和级联低能端热化机制的细节无关。这种能量被非常软的胶子带走,胶子相对于喷流轴以非常大的角度传播。我们的预测值的$ΔE$和它的角分布似乎同意相当不错,定性,甚至半定量,在LHC的核-核碰撞中的双喷流不对称现象。

英文摘要:

We study the gluon cascade generated via successive medium-induced branchings by an energetic parton propagating through a dense QCD medium. We focus on the high-energy regime where the energy $E$ of the leading particle is much larger than the characteristic medium scale $ω_c=\hat q L^2/2$, with $\hat q$ the jet quenching parameter and $L$ the distance travelled through the medium. In this regime the leading particle loses only a small fraction $\simα_s(ω_c/E)$ of its energy and can be treated as a steady source of radiation for gluons with energies $ω\leω_c$. For this effective problem with a source, we obtain exact analytic solutions for the gluon spectrum and the energy flux. The solutions exhibit wave turbulence: the basic physical process is a continuing fragmentation which is `quasi-democratic' (i.e. quasi-local in energy) and which provides an energy transfer from the source to the medium at a rate (the energy flux $\mathcal{F}$) which is quasi-independent of $ω$. The locality of the branching process implies a spectrum of the Kolmogorov-Obukhov type, i.e. a power-law spectrum which is a fixed point of the branching process and whose strength is proportional to the energy flux: $D(ω)\sim\mathcal{F}/\sqrtω$ for $ω\llω_c$. Via this turbulent flow, the gluon cascade loses towards the medium an energy $ΔE\simα_s^2ω_c$, which is independent of the initial energy $E$ of the leading particle and of the details of the thermalization mechanism at the low-energy end of the cascade. This energy is carried away by very soft gluons, which propagate at very large angles with respect to the jet axis. Our predictions for the value of $ΔE$ and for its angular distribution appear to agree quite well, qualitatively and even semi-quantitatively, with the phenomenology of di-jet asymmetry in nucleus-nucleus collisions at the LHC.

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