The European Physical Journal C
ISSN: 1434-6044 (printed version) ISSN: 1434-6052 (electronic version) Table of Contents
Abstract Volume 5 Issue 3 (1998) pp 389-409 DOI 10.1007/s100529800974
experimental physics:
The neutral kaon decays to $\pi^+ \pi^- \pi^0$: a detailed analysis of the CPLEAR data
CPLEAR Collaboration
, A. Angelopoulos et al.
University of Athens, Greece
Received: 13 March 1998 / Published online: 3 September 1998
Abstract.
A detailed analysis of neutral kaons decaying to $\pi^{+}\pi^{-}\pi^{0}$ is presented based on the complete data set containing half a million events. Time-dependent decay rate asymmetries are measured between initially tagged ${\mathrm{{K}\mbox{}^0}}$ and ${\mathrm{\overline{K}\mbox{}^0}}$ and for different regions of the phase space. These asymmetries, resulting from the interference between the CP-conserving decay amplitude of ${\mathrm{K_L}}$ and the decay amplitude of ${\mathrm{K_S}}$ - either CP-violating or CP-conserving - allow the determination of the ${\mathrm{K_S}}$ parameters $\eta_{+-0}$ (CP-violating) and $\lambda$ (CP-conserving), and also of the main isospin components of the ${\mathrm{K_S}}$ decay amplitude. The branching ratio of ${\mathrm{K_S}}\rightarrow \pi^{+}\pi^{-}\pi^{0}$ (CP-conserving) is deduced directly from $\lambda$. In addition, we extract the slope parameters describing the energy dependence of the ${\mathrm{K_L}} \rightarrow \pi^{+}\pi^{-}\pi^{0}$ Dalitz plot. The whole set of our results fits well within the current phenomenological picture of the neutral-kaon system including CP violation and Chiral Perturbation Theory (ChPT).
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Online publication: September 24, 1998
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