Distinguishing near-threshold pole effects from cusp effects

Zhi-Yong Zhou and Zhiguang Xiao
Phys. Rev. D 92, 094024 – Published 20 November 2015

Abstract

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 the Zc(3900) signal is related to the combined effect of a pair of near-threshold “shadow” poles and the (DD¯*)± 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 Zc(3900) might originate from the attractive interaction of (D*D¯*)± through a long-distance interaction, e.g., π-exchange interaction, as a “deuteron-like” state. There is no nearby pole structure corresponding to the Zc(4025) signal in the (D*D¯*)± mass distribution.

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  • Received 6 June 2015

DOI:https://doi.org/10.1103/PhysRevD.92.094024

© 2015 American Physical Society

Authors & Affiliations

Zhi-Yong Zhou1,2,* and Zhiguang Xiao3,2,†

  • 1Department of Physics, Southeast University, Nanjing 211189, China
  • 2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026, China

  • *zhouzhy@seu.edu.cn
  • xiaozg@ustc.edu.cn

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Vol. 92, Iss. 9 — 1 November 2015

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