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Threshold Behavior of Partial-Wave Amplitudes in Quantum Field Theory

1966; American Institute of Physics; Volume: 152; Issue: 4 Linguagem: Inglês

10.1103/physrev.152.1213

1536-6065

Gert Roepstorff, Jack L. Uretsky,

Quantum, superfluid, helium dynamics

We show within the framework of Wightman field theory and the Haag-Ruelle scattering theory that the inelastic partial-wave amplitude for a scattering with two particles in the initial or final state has the classic threshold behavior $T\ensuremath{\sim}{j}^{l}$ and under additional assumptions the phase shifts for elastic scattering obey ${sin\ensuremath{\delta}}_{l}\ensuremath{\sim}{k}^{2l+1}$ in the low-energy limit.