English

How Resonances can synchronise with Thresholds

High Energy Physics - Phenomenology 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.0802.0934,
  title  = {How Resonances can synchronise with Thresholds},
  author = {D. V. Bugg},
  journal= {arXiv preprint arXiv:0802.0934},
  year   = {2008}
}

Comments

19 pages, 6 figures. Replaces 0709.1254

R2 v1 2026-06-21T10:10:20.336Z