Decays of the positive parity mesons inSU(6) w

Abstract

SU(6)w invariant amplitudes are given for the decays of the 1_89 and 405 meson multiplets into two pseudosealar mesons and into one vector meson and one pseudosealar meson. The deeay widths and branehing ratios of the 2 + mesons ate caleulated; the results obtained for 18__99 ate eloser to the experimental data.In a previous paper [1] we tried to classify the positive parity meson resonances according to the 189 and 405 representations of SU(6). The classification was based on simple mass formulae [2--4]. We have concluded that 405 sectas to be a more suitable choice, in so far as it allows a great many of the observed resonances to be identified. The existente of most of the reported positive parity resonant states [5] is, however, rather questionable [6], the 2 + being the only well established multiplet; therefore, the elassification based on mass formulae alone is not convincing enough. The additional information which is needed can be provided by the investigation of decay widths and branching ratios.In order to obtain relations for the decay amplitudes in 189 and 405, we use the SU(6)w formalism [7]. The SU(6)s states are linear combinations of SU(6)w states from various SU(6)w representations, occurring in the U(6) | U(6) ~ SU (6) The results for the 2 + mesons ate the same as in [8]. The 275 mesons in 405 can deeay only into two vector mesons or into more than two particles.