Mixing among light scalar mesons and L = 1 qq̄ scalar mesons

Abstract

Following the re-establishment of the σ(500) and the κ(900), the light scalar mesons a0(980) and f0(980) together with the σ(500) and the κ(900) are considered as the chiral scalar partner of pseudoscalar nonet in SU(3) chiral symmetry, and the high mass scalar mesons a0(1450), K*0(1430), f0(1370) and f0(1710) turned out to be considered as the L = 1 qq̄ scalar mesons. We assume that the high mass of the L = 1 qq̄ scalar mesons is caused by the mixing with the light scalar mesons. For the structure of the light scalar mesons, we adopted the qqq̄q̄ model in order to explain the ‘scalar meson puzzle’. The inter-mixing between the light scalar nonet and the high mass L = 1 qq̄ nonet and the intra-mixing among each nonet are analysed by including the glueball into the high mass scalar nonet.