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Distinguishing cusp effects and near-threshold-pole effects · Around

2015

Distinguishing cusp effects and near-threshold-pole effects

Zhou, Zhi-Yong, Xiao, Zhiguang

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We make use of a unitarized coupled-channel model to analyze the mass distribution data of final states in production processes of $X(4260)$.

By analyzing the analytical structures of the decay amplitudes, we find that the line shape of $Z_c(3900)$ signal is related to the combined effect of a pair of near-threshold "shadow" poles and the $(D\bar{D}^*)^\pm$ thresholds, in which the third-sheet pole might provide a dominant contribution.
As all the coupled channels effects are tuning off, the trajectories of these two poles suggest that the $Z_c(3900)$ might originate from the attractive interaction of $(D^*\bar{D}^*)^\pm$ through a long-distance interaction, $e.g.$ $\pi$-exchange interaction, as a "deuteron-like" state.
There is no nearby pole structure corresponding to the $Z_c(4025)$ signal in the $(D^*\bar{D}^*)^\pm$ mass distribution.

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