The Possible J^{PC}=0^{-} Exotic State - High Energy Physics - PhenomenologyReport as inadecuate

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

Author: Chun-Kun Jiao, Wei Chen, Hua-Xing Chen, Shi-Lin Zhu


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