Almost Entirely Empirical Estimation for Chemical Potential

Autor: Hadeer M. Nasr El Din, Hayam Yassin, Magda Abdel Wahab, Abdel Nasser Tawfik
Rok vydání: 2020
Předmět:
Zdroj: Journal of Experimental and Theoretical Physics. 130:506-516
ISSN: 1090-6509
1063-7761
DOI: 10.1134/s1063776120030176
Popis: 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.
Databáze: OpenAIRE
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