ππ Phase-shift analysis from 600 to 1900 MeV

Hyams, B.; Jones, C. L.; Weilhammer, P.; Blum, W.; Dietl, H.; Grayer, G.; Koch, W.; Lorenz, E.; Lütjens, G.; Männer, W.; Meißburger, J.; Ochs, Wolfgang; Stierlin, U.; Wágner, F.

doi:10.1016/0550-3213(73)90618-4

Cited by 558 publications

(547 citation statements)

References 17 publications

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“…Above 1 GeV the phase shift given by the original parametrization of Ref. [22] strongly overestimates the data points presented in [21], due to a problematic ρ ′ (1370)− contribution. Since a correct treatment of phases is crucial for our predictions, we do not include any ρ ′ − contribution.…”

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confidence: 97%

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Hunting the QCD-Odderon in hard diffractive electroproduction of two pions

et al. 2002

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Abstract:Charge asymmetries in diffractive electroproduction of two mesons are proportional to the interference of Pomeron and Odderon exchange amplitudes. We calculate in the framework of QCD and in the Born approximation a forward-backward charge asymmetry which turns out to be sizable in a kinematical domain accessible to HERA experiments. We predict a distinctive dependence of this asymmetry on the invariant mass of the two pions. Testing this prediction is a crucial step in the discovery of the QCD-Odderon.1 Unité mixte C7644 du CNRS.

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confidence: 97%

“…(9). In our studies we fix the shapes of the phase shifts δ 0 and δ 2 from a fit to data presented in [21]. Let us stress that the exact description of the phase shifts is crucial for our analysis.…”

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confidence: 99%

Hunting the QCD-Odderon in hard diffractive electroproduction of two pions

et al. 2002

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“…Triangles in a) denote data of [12]. Crosses in b) are the pseudo-data calculated from the K-matrix fit of [10].…”

Section: Discussionmentioning

confidence: 99%

“…Above 970 MeV we took the K-matrix parameterization of Hyams et al [10]. The parameters C and D were chosen to join smoothly the phase shifts given by both parameterizations around 970 MeV.…”

Section: Roy's Equations As a Test For The ππ Amplitudesmentioning

confidence: 99%

Roy’s equations and the ππ experimental data

Kamiński¹,

Leśniak²,

Loiseau³

2004

AIP Conference Proceedings

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Roy's equations are used to check if the scalar-isoscalar ππ scattering amplitudes fitted to experimental data fulfill crossing symmetry conditions. It is shown that the amplitudes describing the "down-flat" phase shift solution satisfy crossing symmetry below 1 GeV while the amplitudes fitted to the "up-flat" data do not. In this way the long standing "up-down" ambiguity in the phenomenological determination of the scalar-isoscalar ππ amplitudes has been resolved confirming the independent result of the recent joint analysis of the π + π − and π 0 π 0 data. IntroductionIn 1997 a new analysis of the π − p ↑ → π + π − n reaction on a polarized target was performed in the m ππ effective mass range from 600 to 1600 MeV [1]. For the first time the pseudoscalar (π-exchange) amplitude was separated from the pseudovector (a 1 -exchange) amplitude in the region of the the four-momentum transfer squared from −0.005 to −0.2 (GeV/c) 2 . Below 1000 MeV, where the S-and P -waves strongly interfere, the partial wave analysis of the π + π − data provided us with two scalarisoscalar solutions, called "up" and "down", which differ by their intensities. Lack of information on a sign difference between the phases of the S-and P -waves near the position of the ρ resonance led us to other two branches of the "up" and "down" amplitudes named "steep" and "flat". It was shown in [2] that both "up-steep" and "down-steep" S-wave isoscalar amplitudes significantly violate unitarity below 1 GeV * Unité de Recherche des Universités Paris 6 et Paris 7, associée au CNRS † This work has been performed in the framework of the IN2P3-Polish Laboratories Convention (project number 99-97).

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“…Recently, the π + π − → π + π − scattering from the old πN scattering experiments with both unpolarized [10] and polarized targets [11] has been re-analyzed [12,13] in combination with new information from pp and other experiments. The π + π − → π 0 π 0 scattering has also been studied by E852 [14], GAMS [15] Collaborations and analyzed [16].…”

Section: Introductionmentioning

confidence: 99%

Understanding I = 2 ππ Interaction

Zou¹,

Wu²,

et al. 2004

AIP Conference Proceedings

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Abstract.A correct understanding and description of the I = 2 ππ S-wave interaction is important for the extraction of the I = 0 ππ S-wave interaction from experimental data and for understanding the I = 0 ππ S-wave interaction theoretically. With t-channel ρ, f 2 (1270) exchange and the ππ → ρρ → ππ box diagram contribution, we reproduce the ππ isotensor S-wave and D-wave scattering phase shifts and inelasticities up to 2.2 GeV quite well in a K-matrix formalism.

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ππ Phase-shift analysis from 600 to 1900 MeV

Cited by 558 publications

References 17 publications

Hunting the QCD-Odderon in hard diffractive electroproduction of two pions

Hunting the QCD-Odderon in hard diffractive electroproduction of two pions

Roy’s equations and the ππ experimental data

Understanding I = 2 ππ Interaction

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