Abstract

A reduction of the mass of the \eta'(958) meson may indicate the restoration of the UA(1) symmetry in a hot and dense hadronic matter, corresponding to the return of the 9th, "prodigal" Goldstone boson. We report on an analysis of a combined PHENIX and STAR data set on the intercept parameter of the two-pion Bose-Einstein correlation functions, as measuremed in \sqrt{s_NN} = 200 GeV Au+Au collisions at RHIC. To describe this combined PHENIX and STAR dataset, an in-medium \eta' mass reduction of at least 200 MeV is needed, at the 99.9 % confidence level in a broad model class of resonance multiplicities. Energy, system size and centrality dependence of the observed effect is also discussed.

Highlights

  • The quark model exhibits a U(3) chiral symmetry in the limit of massless up, down and strange quarks, and in principle 9 massless Goldstone modes are expected to appear when this symmetry is broken, only 8 light pseudoscalar mesons are observed experimentally

  • The 9th Goldstone boson is expected to be massive, and is associated with the η′ meson, which has a mass of 958 MeV, approximately twice that of the other pseudoscalar mesons

  • The mass of the η′(958) mesons may be reduced to its quark model value of about 500 MeV, corresponding to the return of the “prodigal” 9th Goldstone boson [7]. In this presentation we summarize the the results on an indirect observation of such an in-medium η′ mass modification based on a detailed analysis of PHENIX and STAR charged pion Bose-Einstein correlation (BEC) data [10,12]

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Summary

Introduction

The quark model exhibits a U(3) chiral symmetry in the limit of massless up, down and strange quarks, and in principle 9 massless Goldstone modes are expected to appear when this symmetry is broken, only 8 light pseudoscalar mesons are observed experimentally This puzzling mystery is resolved by the Adler-Bell-Jackiw UA(1) anomaly: instantons tunneling between topologically different QCD vacuum states explicitely break the UA(1) part of the U(3) symmetry. In high energy heavy ion collisions at RHIC, a hot and dreecntspehmoteodniusmpeicstrcurmeatiend.√RseNcNen=t measurements of the di200 GeV Au+Au collisions indicate [1], that the initial temperature in these reactions is at least 300 MeV, while hadrons as we know them may not exist above the Hagedorn temperature of TH ≈ 170 MeV [2]. The matter created in heavy ion collisions at RHIC is hot enough to be a quark-gluon plasma [1]. Detailed analysis of the properties of this matter indicate that it flows like a perfect fluid [3], and scaling properties of the elliptic flow indicate scaling with the number of constituent quarks [4], this matter is sometimes referred to as a strongly interacting Quark-Gluon

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