Partial wave relations in pi lambda scattering and the sigma lambda pi coupling constant
197320 pages
Published in:
- Nucl.Phys.B 51 (1973) 269-288
- Published: 1973
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Abstract: (Elsevier)
An investigation of relations for the P 3 2 , D 3 2 and S 1 2 partial waves in πΛ scattering leads to the value G ΣΛπ 2 4π = 12.9 ± 0.8 . These partial wave relations are obtained from fixed- t finite-contour dispersion relations, which are also valid, if a normal dispersion relation has to be subtracted, by projection. The unknown f and ϵ Regge residues are then connected to coupling constants. As input information on the Σ-resonances and estimates of the asymptotic total πΛ cross section are used. A small or even zero f -trajectory coupling to the A -amplitude together with an ϵ-trajectory coupling as determined from ϵ coupling constants is well compatible with the data. The D / F ratio for the tensor meson-bary on coupling of the B -amplitude is in the range 3.3 < D / F < 4.1.- pi lambda: interaction
- interaction: pi lambda
- partial wave: dispersion relation
- regge poles
- coupling constant: pi-lambda-sigma
- pi-lambda-sigma: coupling constant
- meson baryon: coupling
- coupling: meson baryon
- numerical calculations
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