How Resonances can synchronise with Thresholds

Details How Resonances can synchronise with Thresholds How Resonances can synchronise with Thresholds

2008-02-07

arxiv.org/abs/0802.0934v2

J.Phys.G35:075005,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 6 figures. Replaces 0709.1254

Scientific paper

10.1088/0954-3899/35/7/075005

The mechanism by which a threshold may capture a resonance is examined. It involves a threshold cusp interfering constructively with either or both (i) a resonance produced via confinement, (ii) attractive t- and u-channel exchanges. The fo(980), X(3872) and Z(4430) are studied in detail. The fo(980) provides a valuable model of the locking mechanism. The X(3872) is too narrow to be fitted by a cusp, and requires either a resonance or virtual state. The Z(4430) can be fitted as a resonance but also can be fitted successfully by a cusp with no nearby resonant pole.

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