Journal
PHYSICS LETTERS B
Volume 747, Issue -, Pages 410-416Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2015.06.029
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Funding
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-AC05-06OR23177]
- U.S. Department of Energy [DE-FG0287ER40365]
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We discuss analytical properties of partial waves derived from projection of a 4-legged amplitude with crossed-channel exchanges in the kinematic region of the direct channel that corresponds to the XYZ peaks in charmonium and bottomonium. We show that in general partial waves can develop anomalous branch points in the vicinity of the direct channel physical region. We show that this effect only occurs if masses of resonances in the crossed channel are in a specific, narrow range. We estimate the size of threshold enhancements originating from these anomalous singularities in reactions where the Z(c)(3900) and the Z(b)(10610) peaks have been observed. (C) 2015 The Author. Published by Elsevier B.V.
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