Abstract

Based on statistical thermal approaches, the transverse momentum distribution of the well-identified produced particles, π⁺, π^–, K⁺, K^–, p, and \(\bar {p}\), is studied. We aim at introducing a novel almost entirely empirical estimation for the inclusive chemical potential μ. From the partition function of a grand-canonical ensemble, we propose a generic expression for the dependence of μ on the rapidity y. Then, by fitting this expression with the experimental results of the most central p_⊥ and d²N/2πp_⊥dp_⊥dy, at 7.7, 11.5, 19.6, 27, 39, 130, 200 GeV, we introduce a generic expression for the rapidity dependence of for all particle yields, at different energies, μ = a + by². The resulting energy dependence reads \(\sqrt {{{s}_{{{\text{NN}}}}}} \) = c[(μ – a)/b]^d/2. As a validation test, we show that the proposed approach reproduces excellently the rapidity spectra of various particle yields measured, at different energies.

中文翻译：

---

化学势的几乎全部经验估计

摘要

基于统计方法的热，阱确定的产生的颗粒，π的横向动量分布⁺，π ^- ，ķ ⁺，ķ ^- ，p，和\（\巴{P} \） ，进行了研究。我们旨在介绍一种新颖的，几乎完全基于经验的包含化学势μ的估算方法。从一个大正则合奏的分区函数，我们提出了一个μ依赖于速度y的通用表达式。然后，通过与最中心的实验结果符合这种表达p _⊥和d ² Ñ /2π p _⊥DP _⊥ DY，在7.7，11.5，19.6，27，39，130，200电子伏特，我们引入一个通用表达式的所有粒子的产率的快速性的依赖，以不同的能量，μ=一个+由²。由此产生的能量依赖性为\（\ sqrt {{{s} _ {{{\ text {NN}}}}}} \） = c [（μ– a）/ b ] ^{d / 2}。作为一项验证测试，我们表明，所提出的方法可以出色地再现在不同能量下测得的各种粒子产量的快速光谱。