Abdulameer, N. J.
; Acharya, U.
; Adare, A.
; ... - Physical Review. C
The PHENIX experiment measured the centrality dependence of two-pion Bose-Einstein correlation functions in $$\sqrt{𝑠{𝑁𝑁}}$$ = 200 GeV Au + Au collisions at the Relativistic Heavy Ion Collider at Brookhaven National Laboratory. The data are well represented by Lévy-stable source distributions. The extracted source parameters are the correlation-strength parameter 𝜆, the Lévy index of stability 𝛼, and the Lévy-scale parameter 𝑅 as a function of transverse mass 𝑚
𝑇 and centrality. The 𝜆(𝑚
𝑇) parameter is constant at larger values of 𝑚
𝑇, but decreases as 𝑚
𝑇 decreases. The Lévy-scale parameter 𝑅(𝑚
𝑇) decreases with 𝑚
𝑇 and exhibits proportionality to the length scale of the
more » nuclear overlap region. The Lévy exponent 𝛼(𝑚𝑇) is independent of 𝑚𝑇 within uncertainties in each investigated centrality bin, but shows a clear centrality dependence. At all centralities, the Lévy exponent 𝛼 is significantly different from that of Gaussian (𝛼 = 2) or Cauchy (𝛼 = 1) source distributions. Comparisons to the predictions of Monte-Carlo simulations of resonance-decay chains show that, in all but the most peripheral centrality class (50%–60%), the obtained results are inconsistent with the measurements, unless a significant reduction of the in-medium mass of the 𝜂′ meson is included. Finally, in each centrality class, the best value of the in-medium 𝜂′ mass is compared to the mass of the 𝜂 meson, as well as to several theoretical predictions that consider restoration of U𝐴(1) symmetry in hot hadronic matter.« less