The Possible J^{PC}=0^{--} Exotic State

Details The Possible J^{PC}=0^{--} Exotic State The Possible J^{PC}=0^{--} Exotic State

2009-05-06

arxiv.org/abs/0905.0774v2

Phys.Rev.D79:114034,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 27 figures

Scientific paper

10.1103/PhysRevD.79.114034

In order to explore the possible existence of the exotic $0^{--}$ state, we have constructed the tetraquark interpolating operators systematically. As a byproduct, we notice the $0^{+-}$ tetraquark operators without derivatives do not exist. The special Lorentz structure of the $0^{--}$ currents forbids the four-quark correction to the spectral density. Now the gluon condensate is the dominant power correction. Within the framework of the finite energy sum rule, none of the seven interpolating currents supports a resonant signal. Therefore we conclude that the exotic $0^{--}$ state does not exist below 2 GeV, which is consistent with the current experimental observations.

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