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. doi:10.1103/PhysRev.136.B749. https://resolver.caltech.edu/CaltechAUTHORS:ABEpr64
![]()
|
PDF
See Usage Policy. 2MB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:ABEpr64
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 | ||||||
---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||
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. | ||||||
Issue or Number: | 3B | ||||||
DOI: | 10.1103/PhysRev.136.B749 | ||||||
Record Number: | CaltechAUTHORS:ABEpr64 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:ABEpr64 | ||||||
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: | 08 Nov 2021 19:56 |
Repository Staff Only: item control page