Spectroscopy of tetraquark mesons

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A classification of tetraquark states in terms of the spin-flavour, colour and spatial degrees of freedom has been constructed. The permutational symmetry properties of both the spin-flavour and orbital parts of the quark-quark and antiquark-antiquark subsystems are briefly discussed. This classification is useful both for model-builders and experimentalists. An evaluation of the tetraquark spectrum is obtained from a Iachello mass formula for tetraquark systems. The ground state tetraquark nonet is identified with $f_{0}(600)$, $κ(800)$, $f_{0}(980)$, $a_{0}(980)$. The mass splittings predicted by this mass formula are in agreement with the KLOE, Fermilab E791 and BES experimental data.
Invited talk at 26th International Colloquia in Group Theoretical Methods in Physics (XXVI ICGTMP), New York City, USA, 26-30 Jun, 2006

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