6533b82cfe1ef96bd128fdbe

RESEARCH PRODUCT

The threshold behaviour of partial wave scattering amplitudes and theN/D-method

P. Beckmann

subject

PhysicsScattering amplitudeNuclear and High Energy PhysicsWeight functionAmplitudeClassical mechanicsScatteringDispersion relationMathematical analysisOrder (group theory)Elementary particleField theory (psychology)

description

It is shown that in partial wave dispersion relations the weight function on the unphysical cut must have a certain number of zeros in order to permit the correct threshold behaviour of the amplitude. Assuming a solution — not necessarily with correct threshold behaviour — of the once-subtractedN/D-equations to exist, the role of the subtraction parameters in repeatedly subtractedN/D equations is studied with particular reference to the threshold behaviour.

https://doi.org/10.1007/bf01380721