论文标题

对各种化学势的几乎精确的经验估计

An almost-entirely precise empirical estimation for various chemical potentials

论文作者

Yassin, Hayam, Elyazeed, Eman R. Abo, Tawfik, Abdel Nasser

论文摘要

The transverse momentum spectra of the well-identified produced particles, $π^+$, $π^-$, $K^+$, $K^-$, $p$, $\bar{p}$, $K_s^0$, $Λ$, $\barΛ$, $Ξ^-$, and $Ξ^+$ are analyzed in a statistical approach.从大型典型合奏的分区函数中,我们提出了一种通用表达式,以依赖通用化学势$μ$对快速性$ y $的依赖性。然后,通过将此表达式拟合到最中心的$ p _ {\ perp} $和$ d^2 n/2πp_ {\ bot} dp _ {\ bot} dp _ {\ bot} dy $,以能量从$ 7.7 $到$ 200〜 $ gev,我们引入了$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $。 $μ= a+b y^2 $,其中$ a $和$ b $是常数。我们发现所产生的能量依赖性$ \ sqrt {s _ {\ mathtt {nn}}}} = c [(μ-a)/b]^{d/2} $与统计热模型非常吻合。我们还提出了各种化学电位的精确估计,分别是$μ_b$,$μ_s$和$μ_Q$,BARYON,陌生性和电荷化学电位。

The transverse momentum spectra of the well-identified produced particles, $π^+$, $π^-$, $K^+$, $K^-$, $p$, $\bar{p}$, $K_s^0$, $Λ$, $\barΛ$, $Ξ^-$, and $Ξ^+$ are analyzed in a statistical approach. From the partition function of grand-canonical ensemble, we propose a generic expression for the dependence of the generic chemical potential $μ$ on the rapidity $y$. Then, by fitting this expression to the experimental results on the most central $p_{\perp}$ and $d^2 N/2 πp_{\bot} dp_{\bot} dy$, at energies ranging from $7.7$ to $200~$GeV, we have introduced a generic expression for the rapidity dependence of $μ$, at different energies, namely $μ=a+b y^2$, where $a$ and $b$ is constants. We find that the resulting energy dependence $\sqrt{s_{\mathtt{NN}}}=c[(μ-a)/b]^{d/2}$ agrees well with the statistical thermal models. We also present precise estimations of various types of chemical potentials, $μ_B$, $μ_S$, and $μ_Q$, the baryon, the strangeness, and the charge chemical potential, respectively.

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