Low-Energy Method in High-Energy Scatterings

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Abstract
The impact-parameter representation of the high-energy scattering amplitude is derived in which the effect of the reduced kinetic-energy operator for the slowly varying wave amplitude in the potential scattering is estimated variationally. An associated zero-energy scattering problem can be estimated using the local minimum property. The method is extended to high-energy composite-system scatterings in which all the inelastic channel effect can be variationally included.