Towards the understanding of Zc(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 Zc(3900). The usage of these constraint relations, together with the multi-channel L\"uscher formula in lattice QCD calculations are also discussed and the strategies are outlined.

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