O(4) Symmetry and ReggePole Theory
Abstract
For reactions in which the initial and final states in the t channel contain equalmass particles (e.g., NN̄>ππ) of masses m and m', we show, using analytic continuation and Lorentz invariance, that the onmassshell helicity amplitudes in the region t=0, (m m')^{2}<=s<=(m+m')^{2} are invariant under the group O(4). Decompositions of the amplitudes in irreducible representations of O(4) (fourdimensional partialwave expansions) are obtained and related to conventional partialwave expansions. Poles classified according to the O(4) group are shown to lead to infinite families of Regge poles. The formalism is developed for arbitrary spins, and the case of nucleonnucleon scattering is studied in detail. Our results for the Reggepole structure in NN scattering are stronger than those of the conspirator theory.
 Publication:

Physical Review
 Pub Date:
 August 1967
 DOI:
 10.1103/PhysRev.160.1560
 Bibcode:
 1967PhRv..160.1560F