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Dynamical Calculations and Regge Trajectories in the Presence of Spin

Abers, Ernest and Zachariasen, Frederik (1964) Dynamical Calculations and Regge Trajectories in the Presence of Spin. Physical Review, 136 (3B). B749-B762. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:ABEpr64

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Abstract

Some new features of the Regge trajectory structure of scattering amplitudes for spinning particles, associated with the existence of a nonsense channel, are described. The restrictions imposed by smoothness in angular momentum on the input forces to dynamical calculations are then discussed. Some popular versions of the N/D method are not, in general, consistent with these restrictions, but can be made so by special choice of substractions. We illustrate these ideas in detail for the scalar-vector scattering amplitude. The characteristic new feature is a trajectory α0 which goes to zero in the limit of small coupling constant; it emerges naturally from the N/D method with our special subtractions. The dynamics of particles lying on this trajectory are curious, and may reflect a weakness of the N/D approximation rather than physics, since strong forces (large coupling constants) are not needed to bring it up to a physical value of the angular momentum. As an example, we perform a simple bootstrap calculation for pseudoscalar mesons, assuming that they lie on such a trajectory.


Item Type:Article
Additional Information:©1964 The American Physical Society Received 28 May 1964 Work supported in part by the U.S. Atomic Energy Commission and the Alfred P. Sloan Foundation.
Record Number:CaltechAUTHORS:ABEpr64
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ABEpr64
Alternative URL:http://dx.doi.org/10.1103/PhysRev.136.B749
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3494
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:08 Jun 2006
Last Modified:26 Dec 2012 08:54

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