Abstract

We highlight some connections between the final state hadronic observables and the initial conditions using a recently found new exact family of solutions of relativistic hydrodynamics. These relations provide explicit examples of the scaling behaviour in relativistic hydrodynamics and provide an advanced estimate of the lifetime and the initial energy density in \(\sqrt {{{s}_{{NN}}}} = 62.4\), \(130\), and \(200\) GeV Au + Au collisions at RHIC and \(\sqrt {{{s}_{{NN}}}} = 5.0\) TeV Pb + Pb and \(5.44\) TeV Xe + Xe as well as \(\sqrt s = 7\), \(8\) and \(13\) TeV p + p collisions at LHC energies. A surprising result is that these advanced estimates yield a non-monotonic increase of the initial energy density with increasing collision energy at the RHIC energy range.

中文翻译：

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RHIC和LHC上重离子碰撞的寿命估算和非单调初始能量密度

摘要

我们使用最近发现的相对论流体力学新的精确解族，强调了最终状态强子可观测量和初始条件之间的某些联系。这些关系提供了相对论流体动力学中标度行为的显式示例，并提供了寿命和初始能量密度的高级估计，其中\（\ sqrt {{{s} _ {{NN}}}} = 62.4 \），\（ 130 \）和\（200 \） GeV Au + Au在RHIC和\（\ sqrt {{{s __ {{NN}}}} = 5.0 \中的碰撞TeV Pb + Pb和\（5.44 \） TeV Xe + Xe以及\（\ sqrt s = 7 \），\（8 \）和\（13 \） TeV p + p在LHC能量上发生碰撞。令人惊讶的结果是，这些高级估计会在RHIC能量范围内随着碰撞能量的增加而产生初始能量密度的非单调增加。