Search for critical points by measuring spatial correlation lengths via multiplicity density fluctuations

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dc.creatorHomma, Kensuke
dc.creatorcollaboration, the PHENIX
dc.date2007-03-30
dc.date.accessioned2026-07-07T10:38:29Z
dc.date.available2026-07-07T10:38:29Z
dc.descriptionThe nature of phase boundaries in the QCD phase diagram has not been satisfactorily explored by experiments. Based on the Ginzburg-Landau free energy with a spatially inhomogeneous term as a function of a scalar order parameter, it is possible to determine spatial correlation lengths from measured two point correlation functions in general, where a spatially dependent multiplicity fluctuation from the mean value is taken as the order parameter. The divergence of the correlation lengths can be a robust signature of a critical system as well as the disappearance of $<q\bar{q}>$ condensations. Simultaneous observations of such observables can probe the nature of the phase boundary conclusively. In this letter, a present result from the PHENIX experiment will be reported. We will focus whether a critical behavior of the phase transition exists or not by searching for increases of pseudo-rapidity correlation lengths as a function of the number of participant nucleons with dominantly low $p_t$ charged particles where instant fluctuations such as high $p_t$ jets are expected to be negligible. The result shows a non monotonic increase in the correlation lengths which can be a symptom of the critical behavior.
dc.description12 pages, 4 figures, The 3rd edition of the International Workshop The Critical Point and Onset of Deconfinement
dc.identifierhttps://arxiv.org/abs/nucl-ex/0703046
dc.identifierhttp://arxiv.org/abs/nucl-ex/0703046
dc.identifierPoSCPOD2006:007,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180740
dc.subjectNuclear Experiment
dc.titleSearch for critical points by measuring spatial correlation lengths via multiplicity density fluctuations
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