Electromagnetic corrections to final state interactions in $K\to 3\pi$ decays

Abstract

The final state interactions of pions in decays $K^{\pm }\to {\pi }^{\pm }{\pi }^0{\pi }^0$ are considered using the methods of quantum mechanics. We show how to incorporate the electromagnetic effects in the amplitudes of these decays and to work out the relevant expressions valid above and below the two charged pions production threshold $M_c=2m$. The electromagnetic corrections are given as evaluated in a potential model.

7 pages,1 figure

References in corpus (4)

• Cusps in K --> 3 pi decays
• First measurement of the ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Pion-pion scattering and the K->3pi decay amplitudes
• Observation of a cusp-like structure in the pizero-pizero invariant mass distribution from K+- ==> pi+- pizero pizero decay and determination of the pi-pi scattering lengths

Cited by in corpus (14)

• Cusps in K --> 3 pi decays
• Radiative corrections in K --> 3 pi decays
• Determination of the S-wave pi pi scattering lengths from a study of K+- -> pi+- pi0 pi0 decays
• Cusps in K_L --> 3 pi decays
• Experiments with K-Meson Decays
• Cusps in K --> 3pi decays: a theoretical framework
• Empirical parameterization of the K+- -> pi+- pi0 pi0 decay Dalitz plot
• Radiative corrections in $K_{e4}$ decay
• The isospin symmetry breaking effects in $K_{e4}$ decays
• The electromagnetic effects in $K_{e4}$ decay
• Final state interaction in kaons decays
• Formation of $\pi \mu$ atoms in $K_{μ4} decay
• Vector exchanges in production of light meson pairs and elementary atoms
• Role of electromagnetic corrections in the $\pi \pi$ distributions of ${\psi }^{\prime }\to J/\psi \pi \pi$