A set of two natural abundance Ge detectors of 1.1 kg each, located in the Homestake mine, and one small, 0.253 kg, Ge detector operating in the Canfranc railway tunnel in Spain, have been used to obtain bounds on the stability of the electron against the decay modes e − → γν e and e − → ν e ν e ν e . The bounds on the mean lifes are τ ( γν e ) > 3.7(2.1) × 10 25 yr , 68%(90%) CL and τ(ν e ν e ν e > 4.3(2.6) × 10 23 yr , 68%(90%) CL, which are at present the most stringent laboratory limits for these decays.
Lifetime in years (YR).
We have studied K+π− elastic scattering in the reaction K+p→K+π−Δ++ at 12 GeVc and in the Kπ mass interval 800 to 1000 MeV. We have performed a partial-wave analysis in this Kπ mass region, dominated by the p-wave resonance K*(890), in order to obtain information about the s-wave amplitude. We have extrapolated the K+π− moments, the total cross section, and p-wave cross section to the pion pole. The p-wave cross section is close to the unitarity limit and can be described by a Breit-Wigner resonance form, with parameters M=896±2 MeV and Γ=47±3 MeV. We then perform an energy-independent phase-shift analysis of the extrapolated moments and total cross section using this Breit-Wigner form for the p wave and a previously determined small negative phase shift for the I=32s wave. For the I=12s-wave phase shift we find the so called "down" solution, which has a phase shift that rises slowly from 20° at M(Kπ)=800 MeV to 60° at M(Kπ)=1000 MeV. The energy dependence of this phase shift is well described by an effective range form, with a scattering length a01=−0.33±0.05 F. The so-called "up" solution is eliminated or has large χ2 everywhere except for two overlapping mass intervals at M(Kπ)=890 and 900 MeV. However, due to limited statistics, we expect two solutions for the s wave very near the mass where the p wave is resonant. We then perform an energy-dependent partial-wave analysis and find again no evidence for an s-wave resonance although, due to limited statistics, we could not exclude one at 890 MeV with Γ<7 MeV.
Extrapolation.
Extrapolation. Initial K+ PI- system in P-wave state.
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