The ψ-particles in an SU₄ scheme with anomalous currents

Abstract

The recently discovered narrow peaks (the ψ-particles) in e⁺e^- system at 3.105 and 3.695 GeV are interpreted as hadrons in a broken SU₄ symmetry scheme. A new additional additive quantum number, paracharge Z, is combined with the usual SU₃ quantum numbers in the group SU₄. The ψ (3.1) is assigned to a near ideally mixed 15̲⊕1̲ multiplet of vector mesons (containing the ρ) as the I=Y=0, charge conjugation C=-combination of Z=±1.members. The ψ (3.7) is assigned correspondingly to another mixed 15̲⊕1̲ multiplet containing the ρ' (1600). The hadronic electromagnetic interactions are modified by the addition of (non-minimal) anomalous pieces that can change Z. The decays of the ψ-particles are discussed. New enlarged SU₄ multiplets of other hadrons are proposed. Tests of our scheme are put forward. The most crucial test will be the observation of two rather broad resonances in e⁺e^- collisions with masses around 4.2 GeV and 5.1 GeV. Another prediction is the presence of energetic photons in the decays of the ψ-particles. Important results concerning the recently observed phenomena in the process e⁺e^-→ hadrons follow in this scheme.