多粒子产生过程中的准幂律
Quasi-power laws in multiparticle production processes
摘要：
我们回顾了准幂律分布（即，对于大的参数值，遵循纯幂律分布，但对于小的值，保持有限，通常是指数分布）。特别强调的是放在猜想，这反映了在产生的强子系统的一些内在的波动的存在。如果用参数q来描述，它们与尺度参数$T$（“温度”）一起形成了Tsallis分布的基础，${f(X)\sim [1 - (1-q)X/T]^{1/(1-q)}}$，经常用来描述相关的分布（X通常是横向动量）。我们讨论了这种准幂律行为的起源，根据我们的经验与多粒子生产过程的描述。特别是，我们讨论了Tsallis分布与复杂的nonextensivity参数q，并认为它是必要的，以描述日志振荡，显然是在最近的数据中观察到的大动量分布在非常高的能量p-p碰撞。
英文摘要：
We review the ubiquitous presence in multiparticle production processes of quasi-power law distributions (i.e., distributions following pure power laws for large values of the argument but remaining finite, usually exponential, for small values). Special emphasis is placed on the conjecture that this reflects the presence in the produced hadronic systems of some intrinsic fluctuations. If described by parameter q they form, together with the scale parameter $T$ ("temperature"), basis of Tsallis distribution, ${f(X)\sim [1 - (1-q)X/T]^{1/(1-q)}}$, frequently used to describe the relevant distributions (the X being usually a transverse momentum). We discuss the origin of such quasi-power law behavior based on our experience with the description of multiparticle production processes. In particular, we discuss Tsallis distribution with complex nonextensivity parameter q and argue that it is needed to describe log-oscillations as apparently observed in recent data on large momentum distributions in very high energy p-p collisions.
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