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Published March 23, 1964 | public
Journal Article Open

Method for the Self-Consistent Determination of Regge Pole Parameters


A method is suggested for approximately bootstrapping Regge trajectories, thereby avoiding the cutoff problems of the usual bootstrap calculation. The method is based on dispersion relations for Regge trajectories and on unitarity applied at l=α. Successively more realistic approximations are described which bring in more information on the potential, and more trajectories. The approximate Regge parameters are guaranteed to have the desired threshold and asymptotic properties.

Additional Information

©1964 The American Physical Society. Received 7 November 1963. The early stages of this work were aided by helpful discussions with Professor Murray Gell-Mann, for which we are very grateful. Two of the authors (S.F. and P.K.) wish to acknowledge the hospitality of the Physics Division of the Aspen Institute for Humanistic Studies, where much of the work was carried out. Work supported in part by the Alfred P. Sloan Foundation and the U.S. Atomic Energy Commission.


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