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Another Bound on the Absorptive Part of Elastic Scattering Amplitudes
Author(s) -
Robert Savit,
R. Blankenbecler,
Martin B. Einhorn
Publication year - 1971
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.1665505
Subject(s) - unitarity , scattering amplitude , elastic scattering , amplitude , physics , angular momentum , scattering , upper and lower bounds , bound state , quantum electrodynamics , mathematical analysis , monotonic function , classical mechanics , cross section (physics) , mathematics , quantum mechanics , mathematical physics
Via Lagrange multipliers for inequality constraints, an upper bound on the absorptive part of the elastic scattering amplitudes is derived assuming unitarity, a fixed total and elastic cross section, and the condition that the partial waves decrease monotonically with increasing angular momentum. Numerical results are given.

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