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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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.
|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.|
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|Deposited On:||08 Jun 2006|
|Last Modified:||26 Dec 2012 08:54|
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