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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The amplitude and phase for coherent regeneration in hydrogen and deuterium have been measured for six momentum bins in the range 3.5-10.5 GeV/c. Over this region the phase, ϕf, is consistent with being constant and has the value - 60°±8° for hydrogen and - 46°±8° for deuterium. Power-law fits of the form plabn for the amplitudes when combined with other data give n=−0.60±0.02 for hydrogen and n=−0.52±0.02 for deuterium.
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NOTE PHASE IS HERE DEFINED AS THE PHASE OF I*AMP(NAME=REGEN) AND SO DIFFERS BY 90 DEG FROM USUAL DEFINITION.
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