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L$'{e}$vy-stable two-pion Bose-Einstein correlations in $$sqrt{s_{NN}}=200$$ GeV Au$$+$$Au collisions

Adare, A.*; Hasegawa, Shoichi  ; Nagamiya, Shoji; Sako, Hiroyuki  ; Sato, Susumu ; Tanida, Kiyoshi  ; PHENIX Collaboration*; 448 of others*

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 L$'e$vy-stable source distributions. Using a fine transverse momentum binning, we extract the correlation strength parameter $$lambda$$, the L$'e$vy index of stability $$alpha$$ and the L$'e$vy 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 L$'e$vy-stable source functions. The $$lambda(m_T)$$ measurements indicate a decrease of the strength of the correlations at low $$m_T$$. The L$'e$vy length scale parameter $$R(m_T)$$ decreases with increasing $$m_T$$, following a hydrodynamically predicted type of scaling behavior. The values of the L$'e$vy index of stability $$alpha$$ are found to be significantly lower than the Gaussian case of $$alpha=2$$, but also significantly larger than the conjectured value that may characterize the critical point of a second-order quark-hadron phase transition.

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Category:Physics, Nuclear

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