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.

arXiv comment8 pages, no figures. arXiv admin note: text overlap with arXiv:1907.03371

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Cited by in corpus (6)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Towards a theory of hadron resonances
• Charmonium and Charmoniumlike States at the BESIII Experiment
• Properties of $Z_c(3900)$ tetraquark in a cold nuclear matter
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• The ground states of hidden-charm tetraquarks and their radial excitations