Elsevier

Annals of Physics

Volume 67, Issue 2, October 1971, Pages 480-517
Annals of Physics

Bounds on scattering amplitudes

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Abstract

The method of Lagrange multipliers, generalized to include inequality constraints, is used to derive bounds on scattering amplitudes based on unitarity and polynomial behavior. Various physical quantities associated with two-body scattering processes are treated, such as the total cross section, elastic cross section, absorptive part and real part of the scattering amplitude. Using these new mathematical techniques, several familiar problems are trated and generalized. In addition, a number of new results are presented. Both asymptotically large energy bounds and finite energy bounds with no arbitrary constants will be given.

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    Work supported by the U. S. Atomic Energy Commission.

    Address after October 1, 1970: Lawrence Radiation Laboratory, Berkeley, California 94720.

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