The cusp effect in eta' --> eta pi pi decays

Abstract

Strong final-state interactions create a pronounced cusp in eta' --> eta pi0 pi0 decays. We adapt and generalize the non-relativistic effective field theory framework developed for the extraction of pi pi scattering lengths from K --> 3 pi decays to this case. The cusp effect is predicted to have an effect of more than 8% on the decay spectrum below the pi+ pi- threshold.

11 pages, 8 figures; comment added, typos corrected, version published in Eur. Phys. J. C

References in corpus (23)

• ππscattering
• Meson-Meson interaction in a non-perturbative chiral approach
• Roy equation analysis of pi pi scattering
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Cusps in K --> 3 pi decays
• Virtual Photons in Low Energy pi-pi Scattering
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Determination of the a0-a2 pion scattering length from K->pi+ pi0 pi0 decay
• Pion-pion scattering and the K->3pi decay amplitudes
• Hadronic atoms in QCD + QED
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• Hadronic eta and eta-prime decays
• Electromagnetic corrections in eta --> 3 pi decays
• Radiative corrections in K --> 3 pi decays
• Measurement of the Slope Parameter $\alpha$ for the $\eta \to 3{\pi }^0$ decay with the Crystal Ball detector at the Mainz Microtron (MAMI-C)
• Cusps in K_L --> 3 pi decays
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• Study of ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$ Dalitz plot
• Isospin violation in low-energy charged pion-kaon scattering
• Predictions for the cusp in eta->3pi0 decay
• Detailed Study of the KL -> 3pi0 Dalitz Plot
• Pi-eta scattering and the resummation of vacuum fluctuation in three-flavour ChPT

Cited by in corpus (37)

• Threshold cusps and triangle singularities in hadronic reactions
• 50 Years of Quantum Chromodynamics
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Resonances from meson-meson scattering in U(3) CHPT
• Dispersive analysis for $\eta \to \gamma {\gamma }^{\ast }$
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Anomalous decay and scattering processes of the eta meson
• Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma
• Rescattering effects in eta {\to} 3pi decays
• Cusps in K --> 3pi decays: a theoretical framework
• 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 dynamics predictions for eta' -> eta pi pi
• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
• On the three-particle analog of the Lellouch-Lüscher formula
• What can we learn about light-meson interactions at electron-positron colliders?
• Measurement of the matrix elements for the decays ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$ and ${\eta }^{\prime }\to \eta {\pi }^0{\pi }^0$
• Extraction of $ND$ scattering lengths from the ${\Lambda }_b\to {\pi }^{-}p{D}^0$ decay and properties of the ${\Sigma }_c(2800{)}^{+}$
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• An overview of $\eta$ and ${\eta }^{\prime }$ decays at BESIII
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• eta and eta' Physics at MAMI
• Precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays
• Measurement of the decay ${\eta }^{\prime }\to {\pi }^0{\pi }^0\eta$ at MAMI
• Event generators for $\eta /{\eta }^{\prime }$ decays at BESIII
• Evidence for the Cusp Effect in ${\eta }^{\prime }$ Decays into $\eta {\pi }^0{\pi }^0$
• Pion photoproduction in a nonrelativistic theory
• Chiral Nonet Mixing in $\pi \eta$ Scattering
• Pion electroproduction in a nonrelativistic theory
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$
• $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Novel method for determining the light quark mass ratio using ${\eta }^{\prime }\to \eta \pi \pi$ decays
• Cusps in eta' --> eta pi pi decays
• Role of electromagnetic corrections in the $\pi \pi$ distributions of ${\psi }^{\prime }\to J/\psi \pi \pi$