– 1– the Ρ(1450) and the Ρ(1700)

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In our 1988 edition, we replaced the ρ(1600) entry with two new ones, the ρ(1450) and the ρ(1700), because there was emerging evidence that the 1600-MeV region actually contains two ρ-like resonances. Erkal [1] had pointed out this possibility with a theoretical analysis on the consistency of 2π and 4π electromagnetic form factors and the ππ scattering length. Donnachie [2], with a full analysis of data on the 2π and 4π final states in e + e − annihilation and photoproduction reactions, had also argued that in order to obtain a consistent picture, two resonances were necessary. The existence of ρ(1450) was supported by the analysis of ηρ 0 mass spectra obtained in photoproduction and e + e − annihilation [3], as well as that of e + e − → ωπ [4]. The analysis of [2] was further extended by [5,6] to include new data on 4π-systems produced in e + e − annihilation, and in τ-decays (τ decays to 4π, and e + e − annihilation to 4π can be related by the Conserved Vector Current assumption). These systems were successfully analyzed using interfering contributions from two ρ-like states, and from the tail of the ρ(770) decaying into two-body states. While specific conclusions on ρ(1450) → 4π were obtained, little could be said about the ρ(1700). Independent evidence for two 1 − states is provided by [7] in 4π electroproduction at Q 2 = 1 (GeV/c) 2 , and by [8] in a high-statistics sample of the ηππ system in π − p charge exchange. This scenario with two overlapping resonances is supported by other data. Bisello [9] measured the pion form factor in the interval 1.35–2.4 GeV, and observed a deep minimum around 1.6 GeV. The best fit was obtained with the hypothesis of ρ-like resonances at 1420 and 1770 MeV, with widths of about 250 MeV. Antonelli [10] found that the e + e − → η π + π − cross section is better fitted with two fully interfering Breit-Wigners, with parameters in fair agreement with those of [2] and [9]. These results can be considered as a confirmation of the ρ(1450).

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تاریخ انتشار 2010