论文标题

QCD的限制阶段的手性对称性

Chiral Symmetry in the Confinement Phase of QCD

论文作者

Campos, S. D.

论文摘要

基于Pomeranchuk定理,一个人构建了$δ(s)$参数,以测量相同能量的粒子粒子和粒子 - 安属粒子总横截面的实验数据之间的差异。质子 - 蛋白质和质子抗蛋白质总截面的实验数据用于表明,在相同的能量下,随着碰撞能量的增长,该参数趋于零。此外,一个人对总横截面进行了经典描述,将其分为有限数量的非相互作用的分离细胞,每个细胞都包含一个夸克 - 易夸克对,受到限制潜力。接近总横截面的最小值,一个将$δ(s)$与这些单元产生的熵相关联,类似于XY模型。使用Quigg-Rosner和Cornell限制潜力并忽略其他能源贡献,可以计算强子的内部能量。人们获得的是,熵和内部能具有相同的对数依赖性对细胞对之间的空间分离的依赖性。 Helmholtz的自由能用于估计过渡温度,该温度远非与夸克 - 胶子等离子体广泛相关的温度。

Based on the Pomeranchuk theorem, one constructs the $δ(s)$ parameter to measure the difference between experimental data for the particle-particle and particle-antiparticle total cross section at the same energy. The experimental data for the proton-proton and proton-antiproton total cross section were used to show that, at the same energy, this parameter tends to zero as the collision energy grows. Furthermore, one assumes a classical description of the total cross section, dividing it into a finite number of non-interacting disjoint cells, each one containing a quark-antiquark pair subject to the confinement potential. Near the minimum of the total cross section, one associates $δ(s)$ with the entropy generated by these cells, analogous to the XY model. Using both the Quigg-Rosner and Cornell confinement potentials and neglecting other energy contributions, one can calculate the internal energy of the hadron. One obtains that both the entropy and internal energy possess the same logarithmic dependence on the spatial separation between the pairs in the cell. The Helmholtz free energy is used to estimate the transition temperature, which is far from the temperature widely related to the Quark-Gluon Plasma.

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