Following the recent confirmation of the Z+(4430) resonance with J(PG) = 1(++), we have re-examined the model of S- and P-wave tetraquarks. We propose a type-II diquark-antidiquark model which shows to be very effective at producing a simple and comprehensive picture of the J(PG) = 1(++) and 1(--) sectors of the recently discovered charged tetraquarks and of the observed Y resonances. The model is still faced with the unresolved difficulty of explaining why some states seem to have incomplete isospin multiplets.
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