STAR ${\rho }^0/{\pi }^{-}$ Ratio in Au-Au Peripheral Collisions at RHIC and the Vector Manifestation of Hidden Local Symmetry

Abstract

The hidden local symmetry effective theory, Wilsonian matched to QCD at a matching scale near the chiral scale $\sim 4\pi f_{\pi }$ as formulated by Harada and Yamawaki, presents a scenario drastically different from the standard scenario of heavy-ion collisions in that as the temperature approaches the critical temperature $T_c$ of chiral restoration from below, the mass of the vector mesons and their widths go to zero in the chiral limit or nearly zero otherwise, proportionally to some power of the quark condensate at what is called "vector manifestation (VM) fixed point". This scenario makes a striking prediction that as the fire-ball expands and cools from $T_c$ down toward the freezeout temperature $T_{freezeout}$ in heavy ion collisions, what we call "hadronic freedom" sets in in which hadrons do not interact or barely interact. We suggest that this scenario is testable at RHIC and as a specific example, we provide an astonishingly simple explanation in terms of the vector manifestation suitably extended to include axial-vector mesons for the anomalously large ${\rho }^0/{\pi }^{-}$ ratio measured in peripheral collisions by STAR.

arXiv comment4 pages, no figures

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Cited by in corpus (7)

• Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Temperature dependence of cross sections for meson-meson nonresonant reactions in hadronic matter
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
• Thermal Dilepton Production from Dropping rho in the Vector Manifestation
• Dilepton Production from Dropping rho in the Vector Manifestation
• Thermal Dilepton Production Rate from Dropping rho in the Vector Manifestation