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arXiv · 1709.05649

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

A. Adare·C. Aidala·N. N. Ajitanand·Y. Akiba·R. Akimoto·J. Alexander·M. Alfred·H. Al-Ta'ani·A. Angerami·K. Aoki·N. Apadula·Y. Aramaki·H. Asano·E. C. Aschenauer·E. T. Atomssa·T. C. Awes·B. Azmoun·V. Babintsev·A. Bagoly·M. Bai·B. Bannier·K. N. Barish·B. Bassalleck·S. Bathe·V. Baublis·S. Baumgart·A. Bazilevsky·R. Belmont·A. Berdnikov·Y. Berdnikov·D. S. Blau·J. S. Bok·K. Boyle·M. L. Brooks·J. Bryslawskyj·H. Buesching·V. Bumazhnov·S. Butsyk·S. Campbell·V. Canoa Roman·P. Castera·C. -H. Chen·C. Y. Chi·M. Chiu·I. J. Choi·J. B. Choi·S. Choi·R. K. Choudhury·P. Christiansen·T. Chujo·O. Chvala·V. Cianciolo·Z. Citron·B. A. Cole·M. Connors·M. Csanád·T. Csörgő·S. Dairaku·T. W. Danley·A. Datta·M. S. Daugherity·G. David·K. DeBlasio·K. Dehmelt·A. Denisov·A. Deshpande·E. J. Desmond·K. V. Dharmawardane·O. Dietzsch·L. Ding·A. Dion·J. H. Do·M. Donadelli·L. D'Orazio·O. Drapier·A. Drees·K. A. Drees·J. M. Durham·A. Durum·S. Edwards·Y. V. Efremenko·T. Engelmore·A. Enokizono·S. Esumi·K. O. Eyser·B. Fadem·W. Fan·N. Feege·D. E. Fields·M. Finger·M. Finger, Jr.·F. Fleuret·S. L. Fokin·J. E. Frantz·A. Franz·A. D. Frawley·Y. Fukao·Y. Fukuda·T. Fusayasu·K. Gainey
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Abstract

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\'evy-stable source distributions. Using a fine transverse momentum binning, we extract the correlation strength parameter $\lambda$, the L\'evy index of stability $\alpha$ and the L\'evy 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\'evy-stable source functions. The $\lambda(m_T)$ measurements indicate a decrease of the strength of the correlations at low $m_T$. The L\'evy length scale parameter $R(m_T)$ decreases with increasing $m_T$, following a hydrodynamically predicted type of scaling behavior. The values of the L\'evy 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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A. Adare, C. Aidala, N. N. Ajitanand, Y. Akiba, R. Akimoto, J. Alexander, M. Alfred, H. Al-Ta'ani, A. Angerami, K. Aoki, N. Apadula, Y. Aramaki, H. Asano, E. C. Aschenauer, E. T. Atomssa, T. C. Awes, B. Azmoun, V. Babintsev, A. Bagoly, M. Bai, B. Bannier, K. N. Barish, B. Bassalleck, S. Bathe, V. Baublis, S. Baumgart, A. Bazilevsky, R. Belmont, A. Berdnikov, Y. Berdnikov, D. S. Blau, J. S. Bok, K. Boyle, M. L. Brooks, J. Bryslawskyj, H. Buesching, V. Bumazhnov, S. Butsyk, S. Campbell, V. Canoa Roman, P. Castera, C. -H. Chen, C. Y. Chi, M. Chiu, I. J. Choi, J. B. Choi, S. Choi, R. K. Choudhury, P. Christiansen, T. Chujo, O. Chvala, V. Cianciolo, Z. Citron, B. A. Cole, M. Connors, M. Csanád, T. Csörgő, S. Dairaku, T. W. Danley, A. Datta, M. S. Daugherity, G. David, K. DeBlasio, K. Dehmelt, A. Denisov, A. Deshpande, E. J. Desmond, K. V. Dharmawardane, O. Dietzsch, L. Ding, A. Dion, J. H. Do, M. Donadelli, L. D'Orazio, O. Drapier, A. Drees, K. A. Drees, J. M. Durham, A. Durum, S. Edwards, Y. V. Efremenko, T. Engelmore, A. Enokizono, S. Esumi, K. O. Eyser, B. Fadem, W. Fan, N. Feege, D. E. Fields, M. Finger, M. Finger, Jr., F. Fleuret, S. L. Fokin, J. E. Frantz, A. Franz, A. D. Frawley, Y. Fukao, Y. Fukuda, T. Fusayasu, K. Gainey. 2017-09-17. L\'evy-stable two-pion Bose-Einstein correlations in $\sqrt{s_{_{NN}}}=200$ GeV Au$+$Au collisions. https://doi.org/10.1103/physrevc.97.064911

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