Strange Particles in the Nonlinear Spinor Theory

Abstract

Strange particles are represented in the nonlinear spinor theory of elementary particles 111 by making use of the isospin property of the groundstate (vacuum): «spurions» carrying isospin 1/2 may be detached from the groundstate and attached to systems constructed from local field operators to form strange particles. In addition to isospin further properties have to be attributed to the spurions to be consistent with the requirement of Lorentz- and CPT-invariance of the vacuum. According to investigations by Dürr and Géhéniau [21 three such possibilities present themselves:

The first and simplest possibility from a group theoretical point of view adds a parity property and was reported earlier. Here the spurions transform according to the simplest, nontrivial representation of P × SU₂ (discrete reflection group × isospin group). Some immediate implications for the baryons, e. g. odd ΛΣ-parity, however, are in contradiction to present experimental evidence. Therefore this possibility is ruled out.