We discuss a measurement of the differential cross section for the reaction KLp→KSp for incident momenta between 5 and 10 GeV/c and the |t| region 0.025 to 0.5 (GeV/c)2, carried out using the SLAC 15-in. rapid-cycling hydrogen bubble chamber triggered by the K0 spectrometer facility. This hybrid detector allowed measurement of the KL beam momentum, measurement of the recoil-proton momentum, and measurement of the decay position and momentum of the KS. Over this momentum region the ratio of the real to imaginary part of the forward-scattering amplitude was determined to be 0.93±0.24 and the phase of the forward-scattering amplitude was determined to be -(138±7)°. A fit to the forward differential cross section of the form dσdt∝p2α(t)−2 to our data together with previous measurements of the KLp→KSp differential cross section at this and lower momenta yielded an α(0)=0.39±0.10 for the dominant ω Regge trajectory. The value of α(0) as determined from the phase φ=−π[α(0)+1]2 is 0.54±0.11.
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FORWARD CROSS SECTION AND OPTICAL THEOREM USED TO DETERMINE PHASE OF FORWARD AMPLITUDE. RE(AMP)/IM(AMP) IS REAL(AMP)/IMAG(AMP).
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The differential cross sections for KL0p→KS0p scattering are presented in several momentum intervals between 1 and 10 GeVc. The data are strongly peaked in the forward direction, characteristic of a large s-channel helicity-nonflip scattering amplitude in this reaction, and a distinct break in the differential cross section occurs at |t|=0.3 GeV2. The phase of the forward scattering amplitude, φ, is consistent with being independent of momentum. The average value of the phase, φ=−133.9±4.0∘, corresponds to a Regge trajectory α(0)=0.49±0.05 in agreement with the canonical ρ, ω0 Regge intercept, α(0)∼0.5. However, this result disagrees with the Regge trajectory determined from the energy dependence of the forward cross section, α(0)=0.30±0.03, indicating a breaking of the Regge phase-energy relation. Comparisons of KL0p→KS0p and π−p→π0n scattering data reveal substantial differences in the energy dependence of the differential cross sections. Comparisons to KN charge-exchange data then suggest that direct-channel (absorption) effects may explain the differences in πN and KN channels.
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Differential cross sections for center of mass scattering angles near 90° are presented for the reactions K ̄ ° p → π + Λ° , K ̄ ° p → π + Σ° and K L °p → K S °p in the momentum interval 1.0 to 7.5 GeV / c . The energy dependences of these cross sections are found to be equally well described by the parameterization: ( d σ d Ω ) 90° ∞ s −2 or ( d σ d Ω ) 90° ∞ exp (− bp ⊥ ) .
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Backward scattering in the reaction KL0p→pKS0 is studied in the momentum interval 1.0 to 7.5 GeV/c. Comparison of KL0p→pKS0 and K+p→pK+ backward scattering, where respectively Σ exchange and Λ plus Σ exchange can contribute in the u channel, reveals that dσdΩ180°(KL0p→pKS0dσdΩ180°(K+p→pK+) above the resonance region. This result provides direct evidence for the dominance of the Λ contribution over the Σ contribution in the K+p→pK+ production amplitude.
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Total and differential cross sections are presented for the reaction KL 0p→KS 0p from 1.3 to 8.0 GeVc as measured in an exposure of the Stanford Linear Accelerator Center 40-in. hydrogen bubble chamber to a neutral beam. The forward points of dσ(KL 0p→KS 0p)dt together with K+n and K−n total cross sections are used to determine the intercept of the effective Regge trajectory, α(0)=0.47±0.09, and the regeneration phase ϕf=−43∘±8∘.
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FULL T REGION.
FULL T REGION.