Elimination of ambiguities in ππ phase shifts using crossing symmetry

Kamiński, R.; Leśniak, L.; Loiseau, B.

doi:10.1016/s0370-2693(02)03021-6

Cited by 71 publications

(77 citation statements)

References 30 publications

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“…1. elastic ππ scattering Data are obtained from single pion production using the One-Pion-Exchange model and from K → ππeν decays applying the Watson theorem. Recent studies using the Roy equations which implement analyticity, unitarity and crossing symmetry are found consistent with chiral symmetry constraints in the threshold region [17,18]; also a unique phase shift solution "down flat" obtained from the polarized target data has been found [19], closely similar to the earlier results from unpolarized data [20]. In the analysis [17] also the σ pole is determined with remarkably small errors:…”

Section: σ Polesupporting

confidence: 72%

The Scalar Meson Sector and the σ, κ Problem

Ochs¹

2004

AIP Conference Proceedings

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Abstract. In the light scalar meson sector (M < ∼ 1.8 GeV) one expects at least one qq nonet and a glueball, possibly also multi-quark states. We discuss the present phenomenological evidence for σ and κ particles; if real, they could be members of the lightest (quark or multi-quark) nonet together possibly with a 0 (980) and f 0 (980). Alternatively, the lightest nonet could include f 0 (980) but not σ and κ. Future decisive experimental studies, concerning tests of symmetry relations, especially in B-decays, are outlined.

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Section: σ Polesupporting

confidence: 72%

The Scalar Meson Sector and the σ, κ Problem

Ochs¹

2004

AIP Conference Proceedings

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“…For this reason there has recently been a considerable effort to analyze them in relation to ChPT [11]. They have also recently been used to eliminate [12] the longstanding ambiguity about ''up'' or ''down'' type solutions of the S0 wave data analyses. Since Roy equations are written in terms of partial waves, they lead, if supplemented with further theoretical input from ChPT [13], to precise predictions for resonance poles like the much debated f 0 ð600Þ.…”

Section: Introductionmentioning

confidence: 99%

Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV

et al. 2011

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We improve our description of scattering data by imposing additional requirements on our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to use parametrizations of the amplitude. In addition, we present a detailed description and derivation of these once-subtracted dispersion relations that, in the 450 to 1100 MeV region, provide an additional constraint which is much stronger than our previous requirements of forward dispersion relations and standard Roy equations. The ensuing constrained amplitudes describe the existing data with rather small uncertainties in the whole region from threshold up to 1100 MeV, while satisfying very stringent dispersive constraints. For the S0 wave, this requires an improved matching of the low and high energy parametrizations. Also for this wave we have considered the latest low energy K '4 decay results, including their isospin violation correction, and we have removed some controversial data points. These changes on the data translate into better determinations of threshold and subthreshold parameters which remove almost all disagreement with previous chiral perturbation theory and Roy equation calculations below 800 MeV. Finally, our results favor the dip structure of the S0 inelasticity around the controversial 1000 MeV region.

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“…Dealing rigorously with the left-hand cut usually involves an infinite set of coupled integral equations, known for ππ scattering as Roy equations [94], but other versions exist for πK → πK, γγ → ππ, and πN → πN , under the generic name of Roy-Steiner equations [95,96]. There is a considerable and relatively recent progress, as well as growing interest in obtaining rigorous dispersive descriptions of these processes [88,89,[97][98][99][100][101][102][103][104][105], which play an essential role when describing final states of almost all other hadronic strongly-interacting reactions.…”

Section: Amplitude Analysismentioning

confidence: 99%

Analysis Tools for Next-Generation Hadron Spectroscopy Experiments

Battaglieri¹,

Briscoe²,

Celentano³

et al. 2015

Acta Phys. Pol. B

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The series of workshops on New Partial-Wave Analysis Tools for Next-Generation Hadron Spectroscopy Experiments was initiated with the ATHOS 2012 meeting, which took place in Camogli, Italy, June 20-22, 2012. It was followed by ATHOS 2013 in Kloster Seeon near Munich, Germany, May 21-24, 2013. The third, ATHOS3, meeting is planned for April 13-17, 2015 at The George Washington University Virginia Science and Technology Campus, USA. The workshops focus on the development of amplitude analysis tools for meson and baryon spectroscopy, and complement other programs in hadron spectroscopy organized in the recent past including the INT-JLab Workshop on Hadron Spectroscopy in Seattle in 2009, the International Workshop on Amplitude Analysis in Hadron Spectroscopy at the ECT*-Trento in 2011, the School on Amplitude Analysis in Modern Physics in Bad Honnef in 2011, the Jefferson Lab Advanced Study Institute Summer School in 2012, and the School on Concepts of Modern Amplitude Analysis Techniques in Flecken-Zechlin near Berlin in September 2013. The aim of this document is to summarize the discussions that took place at the ATHOS 2012 and ATHOS 2013 meetings. We do not attempt a comprehensive review of the field of amplitude analysis, but offer a collection of thoughts that we hope may lay the ground for such a document.Comment: 28 pages, 11 figures, proceedings of the ATHOS 2012 and ATHOS 2013 meeting

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Elimination of ambiguities in ππ phase shifts using crossing symmetry

Cited by 71 publications

References 30 publications

The Scalar Meson Sector and the σ, κ Problem

The Scalar Meson Sector and the σ, κ Problem

Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV

Analysis Tools for Next-Generation Hadron Spectroscopy Experiments

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