How Resonances can synchronise with Thresholds

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 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.

19 pages, 6 figures. Replaces 0709.1254

References in corpus (4)

• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• A Study in Depth of f0(1370)
• Partners of Z(4430) and Productions in B Decays
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation

Cited by in corpus (9)

• Higher Charmonia and X,Y,Z states with Screened Potential
• Nature of X(3872) from data
• Ambiversion of X(3872)
• Re-analysis of data on a0(1450) and a0(980)
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Interference effects in the X(4260) signal
• An alternative fit to Belle mass spectra for DD, D*D* and Lambda_C Lambda_c
• The two-body open charm decays of $Z^{+}(4430)$
• Synchonisation of Resonances with Thresholds