Relativistic Three Pion Dynamics in the omega Channel
May, 197745 pages
Published in:
- J.Phys.G 4 (1978) 43
Report number:
- OXFORD-TP-28-77
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Abstract: (IOP)
An extensive numerical study is made of an integral equation for the generalised isobar amplitudes (satisfying two-body unitarity and analyticity) in the IGJP=0-1-( omega ) channel of the 3 pi system. By systematically varying the parameters of the input l=1 pi pi amplitude, some general conclusions can be drawn about rescattering corrections to the isobar model, including, in particular, cases in which the rescatterings are strong enough to generate a 3 pi resonance. For a choice of the pi pi parameters corresponding to the physical p-wave phase-shift, it is possible to generate a 3 pi resonance at the position of the physical omega , with a width of 17 MeV; however, this result depends sensitively on one of the parameters in the pi pi amplitude which is not well determined from the pi pi phase-shift, and which is associated with short-range effects.- THREE-BODY PROBLEM: RELATIVISTIC
- THREE-BODY PROBLEM: PI
- MODEL: ISOBAR
- OMEGA(784)
- PARTIAL WAVE
- PI PI: SCATTERING AMPLITUDE
- SCATTERING AMPLITUDE: PI PI
- MESON RESONANCE: WIDTH
- WIDTH: MESON RESONANCE
- EFFECT: SHORT-RANGE
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