Abstract:The cross section of the process e + e − → ηγ has been measured in the 600-1380 MeV c.m. energy range with the CMD-2 detector. The following branching ratios have been determined: B(ρ → ηγ) = (3.28 ± 0.37 ± 0.23) · 10 −4 , B(ω → ηγ) = (5.10 ± 0.72 ± 0.34) · 10 −4 , B(φ → ηγ) = (1.287 ± 0.013 ± 0.063) · 10 −2 .Evidence for the ρ(1450) → ηγ decay has been obtained for the first time.
“…1(a) SND has completed its analysis of the annihilation into π 0 γ and ηγ. Figure 1(b) shows the cross section of the process e + e − → π 0 γ while in Table 2 their results are compared to the previous world best coming from the CMD-2 detector [6]. SND results are consistent with those from CMD-2 and have higher accuracy.…”
New results on various channels of e + e − annihilation into hadrons from CMD-2 and SND experiments at VEPP-2M in Novosibirsk are described. e + e − → π 0 γ and e + e − → ηγ were studied in the whole energy range. Cross sections of e + e − annihilation into various hadronic final states were measured.
“…1(a) SND has completed its analysis of the annihilation into π 0 γ and ηγ. Figure 1(b) shows the cross section of the process e + e − → π 0 γ while in Table 2 their results are compared to the previous world best coming from the CMD-2 detector [6]. SND results are consistent with those from CMD-2 and have higher accuracy.…”
New results on various channels of e + e − annihilation into hadrons from CMD-2 and SND experiments at VEPP-2M in Novosibirsk are described. e + e − → π 0 γ and e + e − → ηγ were studied in the whole energy range. Cross sections of e + e − annihilation into various hadronic final states were measured.
“…The best accuracy in measurement of the decay probabilities ρ, ω, φ → ηγ was achieved in the last e + e − storage ring experiments with CMD-2 [10,11,12] and SND [13,14,15,16,17] detectors through investigation of the e + e − → ρ, ω, φ → ηγ processes. The reached accuracy is of the order of 10% for the decays ρ, ω → ηγ and about 2% for the φ → ηγ decay, and the last result has been obtained by averaging more than 10 measurements with accuracies of the order of 5% each.…”
“…Since for the solution corresponding to the ϕ ρ ′ = 180 • the value of ϕ φ differs from its expectation by more than 3.5σ, for our final result we take the solution corresponding to φ ρ ′ = 0 • . It should be noted that the same choice of the ρ ′ phase was used in the work [4].Using the world-average values [10] for the ρ, ω, and φ masses and ρ, ω, φ → e + e − decay probabilities, we can calculate the following values for the decay probabilities into the ηγ final state:B(ρ → ηγ) = (2.82 ± 0.30 ± 0.17) × 10 −4 , B(ω → ηγ) = (4.33 ± 0.44 ± 0.17) × 10 −4 ,
…”
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confidence: 99%
“…The cross section value in the ρ ′ -resonance maximum obtained from the approximation of the e + e − → ηρ cross section can be translated to the e + e − → ρ ′ → ηγ cross section using VDM as in Ref. [4]. The approximation of the data on the e + e − → ηρ cross section was done with three different models describing the energy dependence of the ρ ′ resonance width:…”
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confidence: 99%
“…Since for the solution corresponding to the ϕ ρ ′ = 180 • the value of ϕ φ differs from its expectation by more than 3.5σ, for our final result we take the solution corresponding to φ ρ ′ = 0 • . It should be noted that the same choice of the ρ ′ phase was used in the work [4].…”
In the experiment with the SND detector at the VEPP-2M e + e − collider measuring the e + e − → ηγ cross section in the energy range 0.6 < √ s < 1.38 GeV the reanalysis of data is performed. The goal is to improve the accuracy of the previous results by analysing ambiguities in the approximation of energy dependence of the e + e − → ηγ cross section, which were not taken into account in our previous study. We report new results on the approximation of the e + e − → ηγ cross section based on Vector Dominance Model under new model parameter assumptions. In our previous work [1] we performed a measurement of the e + e − → ηγ reaction cross section for two η-meson decay modes: η → 3π 0 and η → π + π − π 0 . The measured cross section was approximated within Vector Dominance Model (VDM). In this approximation the fact that with the free magnitudes and phases of all four ρ, ω, φ, and ρ ′ resonances, the minimized likelihood function has several minima and thus, a choice of the right minimization solution is ambiguous, was ignored. Additional physical restrictions must be applied to, at least, the parameters of the ρ ′ resonance, in order to make a right choice of the minimization solution.In this work the ρ ′ -meson parameters were estimated from the experimental data on the e + e − → ηρ cross section [2,3]. The cross section value in the ρ ′ -resonance maximum obtained from the approximation of the e + e − → ηρ cross section can be translated to the e + e − → ρ ′ → ηγ cross section using VDM as in Ref. [4]. The approximation of the data on the e + e − → ηρ cross section was done with three different models describing the energy dependence of the ρ ′ resonance width:Under these assumptions the resulting mass, width, and maximum cross section of the ρ ′ resonance varied within 1440-1520 MeV, 220-400 MeV, and 0.08-0.13 nb, respectively. All three ρ ′ parameter sets were used in the e + e − → ηγ cross section approximation. The difference in the experimental results was included in the systematic uncertainty of the final result. The cross section at the ρ ′ resonance maximum acquired an additional 20% systematic error from the uncertainty of the cross section calculation in the VDM.Natural values for the phase of the ρ ′ amplitude are 0 or 180 degrees. The phase shift from these values can be induced by the ρ and ρ ′ mixing via common decay channels, for example, ρ, ρ ′ → ωπ 0 . In the model considered in Ref. [5] it was shown that mixing is strongly energy dependent. For the approximation of the data on e + e − → ηγ cross section the ϕ ρ ′ value at the φ resonance maximum is important. Since at this energy the ρ − ρ ′ mixing is small, no significant phase shifts from 0 or 180 degrees are expected. Two approximations with the ϕ ρ ′ phase fixed at these values were considered. In order to estimate a corresponding systematic uncertainty of the approximation parameters due to the ρ ′ phase uncertainty, we varied ϕ ρ ′ by ±20 • with respect to its initial values.The fitting results with the ρ ′ parameters fixed to described ...
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