Lévy-stable two-pion Bose-Einstein correlations in $\sqrt{s_{_{NN}}}=200$ GeV Au$+$Au collisions
Creators: name: Adare, A.
name: Aidala, C.
name: Ajitanand, N. N.
name: Akiba, Y.
name: Akimoto, R.
name: Alexander, J.
name: Alfred, M.
name: Al-Ta'ani, H.
name: Angerami, A.
name: Aoki, K.
name: Apadula, N.
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name: Aschenauer, E. C.
name: Atomssa, E. T.
name: Awes, T. C.
name: Azmoun, B.
name: Babintsev, V.
name: Bagoly, A.
name: Bai, M.
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name: Bassalleck, B.
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name: Bazilevsky, A.
name: Belmont, R.
name: Berdnikov, A.
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name: Bryslawskyj, J.
name: Buesching, H.
name: Bumazhnov, V.
name: Butsyk, S.
name: Campbell, S.
name: Roman, V. Canoa
name: Castera, P.
name: Chen, C. -H.
name: Chi, C. Y.
name: Chiu, M.
name: Choi, I. J.
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name: Citron, Z.
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name: Denisov, A.
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name: Dietzsch, O.
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name: Durham, J. M.
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name: Frantz, J. E.
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Publisher: name: arXiv
Year: 2017
Subjects: subject: Nuclear Experiment (nucl-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: We present a detailed measurement of charged two-pion correlation functions in 0%-30% centrality $\sqrt{s_{_{NN}}}=200$ GeV Au$+$Au collisions by the PHENIX experiment at the Relativistic Heavy Ion Collider. The data are well described by Bose-Einstein correlation functions stemming from Lévy-stable source distributions. Using a fine transverse momentum binning, we extract the correlation strength parameter $λ$, the Lévy index of stability $α$ and the Lévy length scale parameter $R$ as a function of average transverse mass of the pair $m_T$. We find that the positively and the negatively charged pion pairs yield consistent results, and their correlation functions are represented, within uncertainties, by the same Lévy-stable source functions. The $λ(m_T)$ measurements indicate a decrease of the strength of the correlations at low $m_T$. The Lévy length scale parameter $R(m_T)$ decreases with increasing $m_T$, following a hydrodynamically predicted type of scaling behavior. The values of the Lévy index of stability $α$ are found to be significantly lower than the Gaussian case of $α=2$, but also significantly larger than the conjectured value that may characterize the critical point of a second-order quark-hadron phase transition.
description: 448 authors, 25 pages, 11 figures, 4 tables, 2010 data. v3 is version accepted for publication in Phys. Rev. C with some Table II numbers and Fig. 5 updated to match publication. Plain text data tables for the points plotted in figures for this and previous PHENIX publications are (or will be) publicly available at http://www.phenix.bnl.gov/papers.html