arXiv 1710.030482017-10-09hep-ph

强子物质中的声波

Sound waves in hadronic matter

Grzegorz Wilk, Zbigniew Wlodarczyk

备注：: 10 pages, 4 figures. Presented at the XLVII International Symposium on Multiparticle Dynamics (ISMD2017) held in Tlaxcala City, Mexico, during September 11-15, 2017
DOI：: 10.1051/epjconf/201817201002

摘要：

我们认为，最近的高能欧洲核子研究中心LHC实验产生的粒子的横动量分布为我们提供了新的，迄今为止未被注意到，并没有充分认识到，基本的生产过程的信息。为此，我们集中在小（但持久）的对数周期振荡装饰观察到的$p_T$光谱和可见的测量比$R = σ_{data}\left( p_T\right)/σ_{fit}\left( p_T\right)$。因为这样的光谱是由两个参数表征的准幂型公式描述的：幂指数$n$和尺度参数$T$（通常用温度$T$来标识），所以观察到的比率$R$的对数周期行为可以源自$n$或$T$的适当修改（或两者，但没有讨论这种可能性）。在第一种情况下，$n$变成复数，这可能与系统中的标度不变性有关，在第二种情况下，标度参数$T$表现出自身的对数周期振荡，这可以解释为在碰撞过程期间在碰撞系统中形成的某种声波的存在，其波数具有所谓的第二类自相似解。因为第一种情况已经被广泛讨论过了，所以我们集中讨论第二种情况及其可能的实验结果。

英文摘要：

We argue that recent high energy CERN LHC experiments on transverse momenta distributions of produced particles provide us new, so far unnoticed and not fully appreciated, information on the underlying production processes. To this end we concentrate on the small (but persistent) log-periodic oscillations decorating the observed $p_T$ spectra and visible in the measured ratios $R = σ_{data}\left( p_T\right)/σ_{fit}\left( p_T\right)$. Because such spectra are described by quasi-power-like formulas characterised by two parameters: the power index $n$ and scale parameter $T$ (usually identified with temperature $T$), the observed log-periodic behaviour of the ratios $R$ can originate either from suitable modifications of $n$ or $T$ (or both, but such a possibility is not discussed). In the first case $n$ becomes a complex number and this can be related to scale invariance in the system, in the second the scale parameter $T$ exhibits itself log-periodic oscillations which can be interpreted as the presence of some kind of sound waves forming in the collision system during the collision process, the wave number of which has a so-called self similar solution of the second kind. Because the first case was already widely discussed we concentrate on the second one and on its possible experimental consequences.

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