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Amplitude analysis and the nature of the Zc(3900)
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The microscopic nature of the XYZ states remains an unsettled topic. We show how a thorough amplitude analysis of the data can help constraining models of these states. Specifically, we consider the case of the Zc(3900) peak and discuss possible scenarios of a QCD state, virtual state, or a kinematical enhancement. We conclude that current data are not precise enough to distinguish between these hypotheses, however, the method we propose, when applied to the forthcoming high-statistics measurements should shed light on the nature of these exotic enhancements.
Forward citations
Cited by 2 Pith papers
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Finite-volume quantization condition from the $N/D$ representation
A finite-volume quantization condition based on the N/D representation is derived and claimed to remain valid when the energy coincides with left-hand cuts, where the original Luescher condition fails.
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Constraining the $DDD^*$ three-body bound state via the $Z_c(3900)$ pole
A model-dependent study showing that the existence of a DDD* bound state is tied to the virtual-state pole position of Zc(3900), with binding occurring only for near-threshold Zc poles.
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