Towards the understanding of $Z_c(3900)$ from lattice QCD

Abstract

Within the framework of three-channel Ross-Shaw effective range theory, we derive the constraints among different parameters of the theory in the case of a narrow resonance close to the threshold of the third channel, which is relevant for the resonance-like structure $Z_c(3900)$. The usage of these constraint relations, together with the multi-channel Lüscher formula in lattice QCD calculations are also discussed and the strategies are outlined.

Comments: 8 pages, no figures. arXiv admin note: text overlap with arXiv:1907.03371