论文标题
确定LHC能量下Tsallis分布中的化学电位
Determination of the chemical potential in the Tsallis distribution at LHC energies
论文作者
论文摘要
在LHC上以$ p-p $碰撞测量的横向动量分布决定了碰撞的动力学冻结阶段。从这些分布中得出的参数不同于化学冷冻输出时确定的参数。本研究的重点是动力学冻结时的化学电位,这些化学电位并不一定是零,因为它们在化学冻结时,唯一的约束是它们在LHC能量处的颗粒和反粒子应等于它们。热力学变量在Tsallis分布的框架中确定。正确考虑了四种不同LHC能量的$ p-p $碰撞的Tsallis分布分析中的化学潜力。这导致对各种参数的更令人满意的分析,并确认了Tsallis分布在高能碰撞中的有用性。特别是,我们发现每个梁的温度$ t $和卷$ v $对于所有考虑的粒子类型(pions,kaons and proton)都是相同的。但是,这些颗粒的化学电位截然不同。因此,我们得出的结论是,有证据表明动力学冻结时有热平衡,尽管在tsallis分布的意义上,并且在碰撞的最后阶段没有任何化学平衡的证据。
The transverse momentum distributions measured in $p-p$ collisions at the LHC determine the kinetic freeze-out stage of the collision. The parameters deduced from these distributions differ from those determined at chemical freeze-out. The present investigation focuses on the chemical potentials at kinetic freeze-out, these are not necessarily zero as they are at chemical freeze-out, the only constraint is that they should be equal for particles and antiparticles at LHC energies. The thermodynamic variables are determined in the framework of the Tsallis distribution. The chemical potentials in the Tsallis distribution analysis of $p-p$ collisions at four different LHC energies have correctly been taken into account. This leads to a much more satisfactory analysis of the various parameters and confirms the usefulness of the Tsallis distribution in high-energy collisions. In particular we find that the temperature $T$ and the volume $V$ at each beam energy are the same for all particle types considered (pions, kaons and protons). The chemical potentials for these particles are however very different. Hence we conclude that there is evidence for thermal equilibrium at kinetic freeze-out, albeit in the sense of the Tsallis distribution and there is no evidence for chemical equilibrium at the final stage of the collision.