Abstract: Abstract We present a set of closed systems of partial-wave equations for pion-pion scattering valid for −28 mπ2 ⩽ s ⩽ 125.31 mπ2. These equations give the real part of a given partial-wave amplitude in terms of scattering lengths and a convergent series of integrals over the physical values of the absorptive parts of all partial waves. Our equations are extensions of relations previously derived from fixed-t dispersion relations. The new equations are rigorous consequences of axiomatic analyticity and three channel crossing symmetry. A...
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Topics: 
Quantum electrodynamics
Mathematical physics
Mathematical analysis