Thermal production of the $ρ$ meson in the $π^+π^-$ channel

Details Thermal production of the $ρ$ meson in the $π^+π^-$ channel Thermal production of the $ρ$ meson in the $π^+π^-$ channel

2003-08-29

arxiv.org/abs/nucl-th/0308087v1

Phys.Rev. C68 (2003) 064905

Physics

Nuclear Physics

Nuclear Theory

10 pages, 4 figures

Scientific paper

10.1103/PhysRevC.68.064905

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.

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