We have studied the proper time distribution of coherent π + π − decays from a 3 – 10 GeV/ c K L o beam incident on a one meter liquid hydrogen target using a wire spark chamber spectrometer in the 3 0 neutral beam at SLAC. We find ∣(ƒ(0) − ƒ (0))/k∣ = 0.43 ± 0.11 mb , φ(ƒ(0) − ƒ (0)) = -101 0 ± 42 0 .
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The measurements of the transmission regeneration amplitude on hydrogen in the momentum region of 14–42 GeV/ c indicate that in accordance with the Pomeranchuk theorem its magnitude |ƒ° − ƒ °|/k decreases as energy increases and its phase is approximately constant and equal to arg (ƒ° − ƒ °) = (−118 ± 13)° .
THE REGENERATION AMPLITUDE DECREASES OVER THIS ENERGY RANGE.
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.
The energy dependence of the modulus and phase of the K L 0 -K S 0 regeneration amplitude on hydrogen in the range of 14–50 GeV has been investigated at the Serpukhov 70 GeV accelerator. It has been established that the modulus of the modified regeneration amplitude decreases with increasing momentum as 2|ƒ 21 0 (p)|/k = (0.84 ± 0.42) · p −0.50±0.15 mb . The amplitude phase is energy-independent and its mean value is ϕ 21 0 = −132° ± 5°. The results obtained are compared with other experiments and with predictions of different theoretical models.
TABLE ALSO CALCULATES FORWARD DIFFERENTIAL CROSS SECTION AND SIG(AK0 P) - SIG(K0 P) TOTAL CROSS SECTION DIFFERENCES.