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How resonances can synchronize with thresholds

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Abstract:

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 f0(980), X(3872) and Z(4430) are studied in detail. The f0(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.

Document Type: Research Article

DOI: http://dx.doi.org/10.1088/0954-3899/35/7/075005

Publication date: July 1, 2008

iop/jphysg/2008/00000035/00000007/art075005
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