Multiperipheral models are used to ahov ho* the Regge expansion, while lacking threshold branch points, say nevertheless approximate the localized physical effects of "peripheral" thresholds. Examples are given to demonstrate that a single pair of complex poles is capable of representing even the lowest inelastic thresholds In both total and single-particle inclusive cross sections. The Regge mechanism that aliens the position of a threshold to depend sensibly on the masses of incoming and

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... ing {articles is eluc&&ted.' -NOtlCE-This report was prepared as an account of work sponsored by the United States Government, Neithei the United States not the Utiiteit State* Atomic Energy Commission, nor any of their employees, nor ait) of their contractors, subcontractors, or their employees, maaesaity warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, com pleteness or usefulness of any information apparatus, product or process disclosed, or represents that its use would not Infringe privately owned rights.