论文标题
Tevatron，Rhic和LHC的Hadron和Nuclei碰撞中的自相似性，分形和熵原理
Self-Similarity, Fractality and Entropy Principle in Collisions of Hadrons and Nuclei at Tevatron, RHIC and LHC
论文作者
论文摘要
说明了$ z $ - 包容性光谱的尺度作为自相似性和强子相互作用的分形的体现。证明了RHIC的BES-I计划中$ au+au $碰撞中负粒子产生的缩放。缩放变量$ z $取决于相互作用成分所携带的碰撞物体的动量分数，以及分别由包容性粒子及其对应物携带的分散和后坐方向的碎片对象的动量分数。碰撞对象的结构和最终状态的碎片过程用分形维度表示。碰撞中产生的培养基由特定的热量描述。缩放函数$ψ（z）$揭示了能量，角度，多样性和风味独立性。它具有高$ z $（高$ p_t $）的功率行为。根据熵原理和$ z $尺度，估计能量损失作为碰撞能量的函数，中心性和包容性粒子的横向动量。发现了包括分形维度在内的新保护法。讨论了分形维度的量化。
$z$-Scaling of inclusive spectra as a manifestation of self-similarity and fractality of hadron interactions is illustrated. The scaling for negative particle production in $Au+Au$ collisions from BES-I program at RHIC is demonstrated. The scaling variable $z$ depends on the momentum fractions of the colliding objects carried by the interacting constituents, and on the momentum fractions of the fragmenting objects in the scattered and recoil directions carried by the inclusive particle and its counterpart, respectively. Structures of the colliding objects and fragmentation processes in final state are expressed by fractal dimensions. Medium produced in the collisions is described by a specific heat. The scaling function $ψ(z)$ reveals energy, angular, multiplicity, and flavor independence. It has a power behavior at high $z$ (high $p_T$). Based on the entropy principle and $z$-scaling, energy loss as a function of the collision energy, centrality and transverse momentum of inclusive particle is estimated. New conservation law including fractal dimensions is found. Quantization of fractal dimensions is discussed.
