Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-01-11
Eur.Phys.J.A42:195-212,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 23 figures, 6 tables, adding references and discussions about a future experiment of BES designed to figure out the
Scientific paper
10.1140/epja/i2009-10876-4
In this paper, we study the $0^{+}$ nonet mesons as tetraquark states with interpolating currents induced from the color-magnetic wavefunction. This wavefunction is the eigenfunction of effective color-magnetic Hamiltonian with the lowest eigenvalue, meaning that the state depicted by this wavefunction is the most stable one and is most probable to be observed in experiments. Our approach can be recognized as determining interpolating currents dynamically. We perform an OPE calculation up to dimension eight condensates and find that the best QCD sum rule is achived when the current induced from the color-magnetic wavefunction is a proper mixture of the tensor and pseudoscalar diquark-antidiquark bound states. Compared with previous results, to sigma(600) and kappa(800), our results appear better, due to larger pole contribution. The direct instanton contribution are also considered, which yields a consistent result with previous OPE results. Finally, we also discuss the eta' problem as a possible six-quark state.
Pang Yi
Yan Mu-Lin
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