Determination of the a0-a2 pion scattering length from K->pi+ pi0 pi0 decay

Abstract

We present a new method for the determination of the pion-pion scattering lenght combination a0-a2, based on the study of the pi0-pi0 spectrum in K->pi+ pi0 pi0 in the vicinity of the pi+ pi- threshold. The method requires a minimum of theoretical input, and is potentially very accurate.

8 pages, 2 figures -- corrected two typos

References in corpus (1)

• Regge analysis of pion-pion (and pion-kaon) scattering for energy s^{1/2}>1.4 GeV

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• Radiative corrections in K --> 3 pi decays
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• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• Measurement of the Matrix Elements for the Decays $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta /{\eta }^{\prime }\to {\pi }^0{\pi }^0{\pi }^0$
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
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• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• Measurement of the eta->3pi0 Dalitz Plot Distribution with the WASA Detector at COSY
• Isospin Breaking in $K\to 3\pi$ Decays III: Bremsstrahlung and Fit to Experiment
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• Predictions for the cusp in eta->3pi0 decay
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• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
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• Topological susceptibility on the lattice and the three-flavour quark condensate
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• Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c
• Measurement of the matrix elements for the decays ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$ and ${\eta }^{\prime }\to \eta {\pi }^0{\pi }^0$
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• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• Electromagnetic corrections to final state interactions in $K\to 3\pi$ decays
• Extraction of $ND$ scattering lengths from the ${\Lambda }_b\to {\pi }^{-}p{D}^0$ decay and properties of the ${\Sigma }_c(2800{)}^{+}$
• Hadronic Atoms
• Dispersive construction of two-loop $P\to \pi \pi \pi$ $(P=K,\eta )$ amplitudes
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• Theoretical progress on cusp effect and Kl4 decays
• Measurement of the decay ${\eta }^{\prime }\to {\pi }^0{\pi }^0\eta$ at MAMI
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• Final state interaction in kaons decays
• Measurements of the Dalitz Plot Parameters for $K^{\pm }\to {\pi }^{\pm }{\pi }^0{\pi }^0$ Decays
• Status of chiral perturbation theory
• DAFNE and KLOE-2
• Charged charmonium-like structures and the initial single chiral particle emission mechanism
• Recent results from NA48
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• Role of electromagnetic corrections in the $\pi \pi$ distributions of ${\psi }^{\prime }\to J/\psi \pi \pi$
• CP, CPT and Rare Decays
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