On the ambiguity of determination of interfering resonances parameters

Malyshev, V. M.

doi:10.48550/arxiv.1505.01509

Cited by 3 publications

(3 citation statements)

References 3 publications

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“…According to Ref. [38], 2 n−1 local minima for the fit to the cross section are expected, where n is the number of resonances. This formula has been obtained under the assumption that the widths of the resonances do not depend on energy.…”

Section: Resultsmentioning

confidence: 95%

Measurement of the $e^{+}e^{-}\rightarrowηπ^{+}π^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider

Gribanov,

Popov,

Akhmetshin

et al. 2019

Preprint

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The cross section of the process e + e − → ηπ + π − is measured using the data collected with the CMD-3 detector at the VEPP-2000 collider in the center-of-mass energy range from 1.1 to 2.0 GeV. The decay mode η → γγ is used for η meson reconstruction in the data sample corresponding to an integrated luminosity of 78.3 pb −1 . The energy dependence of the e + e − → ηπ + π − cross section is fitted within the framework of vector meson dominance in order to extract the Γ(ρ( 1450) → e + e − )B(ρ(1450) → ηπ + π − ) and the Γ(ρ(1700) → e + e − )B(ρ(1700) → ηπ + π − ) products. Based on conservation of vector current, the analysed data are used to test the relationship between the e + e − → ηπ + π − cross section and the spectral function in τ − → ηπ − π 0 ντ decay. The e + e − → ηπ + π − cross section measured with the CMD-3 detector is in good agreement with the previous measurements.

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Section: Resultsmentioning

confidence: 95%

Measurement of the $e^{+}e^{-}\rightarrowηπ^{+}π^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider

Gribanov,

Popov,

Akhmetshin

et al. 2019

Preprint

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show abstract

“…Note that due to the constructive or destructive interferences between/among different resonances and background, the multisolution problem exists in using coherent contributions to fit the data, as have been pointed out in refs. [54][55][56][57][58][59][60][61]. As shown in ref.…”

Section: Phenomenological Discussionmentioning

confidence: 99%

ϕ(2170) Decaying to ϕππ and ϕKK¯

Chen

2023

Universe

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Within the framework of dispersion theory, we study the the processes e+e−→ϕ(2170)→ϕππ(KK¯). The strong pion–pion final-state interactions, especially the KK¯ coupled channel in the S wave, are taken into account in a model-independent way using the Omnès function solution. Through fitting the experimental data of the ππ and ϕπ invariant mass distributions of the e+e−→ϕ(2170)→ϕπ+π− process, the low-energy constants in the chiral Lagrangian are determined. The theoretical prediction for the cross sections’ ratio σ(e+e−→ϕ(2170)→ϕK+K−)/σ(e+e−→ϕ(2170)→ϕπ+π−) is given, which could be useful for selecting the physical solution, when the fit to the e+e−→ϕK+K− cross-section distribution is available in the future. Our results suggest that above the kinematical threshold of ϕKK¯, the mechanism e+e−→ϕK+K−, with the kaons rescattering to a pion pair, plays an important role in the e+e−→ϕπ+π− transition.

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“…Analytical calculation results have been provided also in Ref. [5], while recently, there are progresses on the numerical methods to find the other solutions based on the one already known with more than two coherent amplitudes [6,7].…”

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confidence: 99%

Selecting the physical solution via $η$-$η'$ mixing

Zhu

2021

Preprint

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A novel and simple method is proposed to select the physics solution in the decays of Y (4230) → ηJ/ψ and Y (4230) → η ′ J/ψ, where multiple solutions have been reported in the experimental measurements. Based on an η-η ′ mixing analysis, a unique solution is determined for the decay of Y (4230) → η ′ J/ψ. But no conclusion can be drawn for Y (4230) → ηJ/ψ yet due to the large uncertainties in experimental results. It turns out reducing the uncertainty of the η-η ′ mixing angle is crucial for solving this problem, and will provide indication on whether Y (4230) contains substantial ss quark component or not.

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On the ambiguity of determination of interfering resonances parameters

Cited by 3 publications

References 3 publications

Measurement of the $e^{+}e^{-}\rightarrowηπ^{+}π^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider

Measurement of the $e^{+}e^{-}\rightarrowηπ^{+}π^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider

ϕ(2170) Decaying to ϕππ and ϕKK¯

Selecting the physical solution via $η$-$η'$ mixing

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