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Triangle Singularities and XYZ Quarkonium Peaks · Around

2015

Triangle Singularities and XYZ Quarkonium Peaks

Szczepaniak, Adam P.

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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.
In a specific case, when these branch points lie on the opposite side of the unitary cut they pinch the integration contour in a dispersion relation and if the pinch happens close to threshold, the normal threshold cusp is enhanced.
We show that this effect only occurs if masses of resonances in the crossed channel are in a specific, narrow range.

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