Abstract
We perform a lattice study of charmonium-like mesons with and three quark contents , and , where the later two can mix with . This simulation with and aims at the possible signatures of four-quark exotic states. We utilize a large basis of , two-meson and diquark-antidiquark interpolating fields, with diquarks in both antitriplet and sextet color representations. A lattice candidate for with is observed very close to the experimental state only if both and interpolators are included; the candidate is not found if diquark-antidiquark and are used in the absence of . No candidate for neutral or charged , or any other exotic candidates are found in the channel. We also do not find signatures of exotic candidates below 4.2 GeV, such as . Possible physics and methodology related reasons for that are discussed. Along the way, we present the diquark-antidiquark operators as linear combinations of the two-meson operators via the Fierz transformations.
- Received 18 March 2015
DOI:https://doi.org/10.1103/PhysRevD.92.034501
© 2015 American Physical Society