Abstract: Abstract We derive an exact relation for ππ scattering which yields the real parts of the ππ partial wave amplitudes al(I)(s) in the region 4m2π ⩽ s ⩽ 60m2π, is given i) the I = 0 and the I = 2 S wave scattering lengths and ii) the 1m al(I)(s) for 4m2π ⩽ s ⩽ ∞, where s denotes the centre-of-mass energy, l the angular momentum and I the isotopic spin. It also provides i) a system of integral equations to determine the al(I)(s) for 4m2π ⩽ s ⩽ 16m2π, 162π ⩽ s ⩽ ∞, and ii) necessary and sufficient conditions for crossi...
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Topics: 
Mathematical physics
Quantum electrodynamics
Quantum mechanics