✦ LIBER ✦

A quarks-on-springs model of the baryons: J. A. Shapiro. Department of Physics, University of California, Berkeley, California

Publisher: Elsevier Science
Year: 1968
Tongue: English
Weight: 82 KB
Volume: 47
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(68)90296-0

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✦ Synopsis

In this paper we perform a contraction on the Poincare group which leads to a group isomorphic to the Poincare Group. By "contracting" the canonical representation of the Poincare generators, we show that this iso-Poincare group describes the kinematics of a system of particles all with v, = 1. We give explicitly the behavior of the pI infinite states under finite iso-Poincare transformations. We also give the corresponding transformaion laws under parity and time reversal. As an application, we study a scattering process as viewed by an observer moving with v, = -1. This leads to a very natural justification of the impact parameter representation of S-matrix element. In conclusion, we give some indications on the covariant generalization of the iso-Poincart group.

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