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arXiv 1102.5155nucl-thhep-phnucl-ex
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重核相对论碰撞中RHIC和LHC部分子能量损失机制随横动量的演化

Evolution of mechanism of parton energy loss with transverse momentum at RHIC and LHC in relativistic collision of heavy nuclei

Dinesh K. Srivastava

摘要:

我们分析了在大横动量的抑制粒子生产($0-5%$最)中心碰撞的金核在$\sqrt{s_\textrm{NN}}=$ 200 GeV和铅核在$\sqrt{s_{\textrm{NN}}}=$ 2.76 TeV。在${\cal{O}}(α_s^3)$的下一个领导阶辐射修正,和核效应,如阴影和部分子能量损失包括在内。在一个简单的多重散射模型中实现了部分子的能量损失,其中部分子在每次碰撞中损失一个能量$ε=λ\times dE/dx$,$λ$是它们的平均自由程,我们采用$ε=κE$作为非相干散射的Bethe Heitler(BH)机制,$ε= \sqrt{αE}$作为LPM机制,和$ε=$常数的机制,这表明,部分子的总路径长度($dE/dx$)与等离子体中部分子的总路径长度($L$)成比例,因为辐射胶子的形成时间变得比$L$大得多。我们发现,虽然BH机制描述的核修饰因子$R_{\textrm{AA}}$的$p_T \leq$ 5 GeV/ $c$(特别是在RHIC能量),LPM,更因此,恒定的$dE/dx$机制提供了一个很好的描述在较大的$p_T$。这证实了先前的预期,即对于$p_T \ge λ<k_T^2>$,部分子的能量损失机制从BH变为LPM,其中$λ\approx$ 1 fm和$<k_T^2> \approx$ 1 GeV $^2$是每次碰撞部分子接收的平均横向反冲平方。发现在$\sqrt{s_\textrm{NN}}$ =2.76 TeV处的每次碰撞的能量损失约为0.2 TeV处的两倍。

英文摘要:

We analyze the suppression of particle production at large transverse momenta in ($0-5%$ most) central collisions of gold nuclei at $\sqrt{s_\textrm{NN}}=$ 200 GeV and lead nuclei at $\sqrt{s_{\textrm{NN}}}=$ 2.76 TeV. Full next-to-leading order radiative corrections at ${\cal{O}}(α_s^3)$, and nuclear effects like shadowing and parton energy loss are included. The parton energy loss is implemented in a simple multiple scattering model, where the partons lose an energy $ε=λ\times dE/dx$ per collision, where $λ$ is their mean free path. We take $ε=κE$ for a treatment which is suggestive of the Bethe Heitler (BH) mechanism of incoherent scatterings, $ε= \sqrt{αE}$ for LPM mechanism, and $ε=$ constant for a mechanism which suggests that the rate of energy loss ($dE/dx$) of the partons is proportional to total path length ($L$) of the parton in the plasma, as the formation time of the radiated gluon becomes much larger than $L$. We find that while the BH mechanism describes the nuclear modification factor $R_{\textrm{AA}}$ for $p_T \leq$ 5 GeV/$c$ (especially at RHIC energy), the LPM and more so the constant $dE/dx$ mechanism provides a good description at larger $p_T$. This confirms the earlier expectation that the energy loss mechanism for partons changes from BH to LPM for $p_T \ge λ<k_T^2>$, where $λ\approx$ 1 fm and $<k_T^2> \approx$ 1 GeV$^2$ is the average transverse kick-squared received by the parton per collision. The energy loss per collision at the $\sqrt{s_\textrm{NN}}$ =2.76 TeV is found to be about twice of that at 0.2 TeV.

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