Thermal production of the $\rho$ meson in the ${\pi }^{+}{\pi }^{-}$ channel

Abstract

Recent measurements of the pi^+pi^- invariant mass distribution at RHIC show a shifted peak for the rho meson in 100A GeV in peripheral Au + Au and even in p + p collisions. A recent theoretical study based on a picture of in-medium production rates of pions, showed that a large shift could result from a combination of the Boltzmann factor and the collisional broadening of the rho. Here we argue that the two-pion density of states is the appropriate quantity if one assumes a sudden break-up of the system. Methods for calculating the density of states which include Bose effects are derived. The resulting invariant mass distributions are significantly enhanced at lower masses and the rho peak is shifted downward by ~ 35 MeV.

arXiv comment10 pages, 4 figures

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• Indication for ${\pi }^{+}{\pi }^{-}$ scattering in $p+p$ collisions at $\sqrt{s_{{}_{NN}}}=$200 GeV
• Finite temperature pion vector form factors in Chiral Perturbation Theory
• Theory Highlights of Quark Matter 2004
• Interpreting scattering wave functions in the presence of energy-dependent interactions
• Production of resonances in a thermal model
• Statistical hadronization phenomenology in heavy ion collisions at SPS and RHIC energies