Analyticity and the $N_c$ counting rule of $S$ matrix poles
| dc.creator | Xiao, Z. G. | |
| dc.creator | Zheng, H. Q. | |
| dc.date | 2005-02-22 | |
| dc.date.accessioned | 2026-07-07T10:29:25Z | |
| dc.date.available | 2026-07-07T10:29:25Z | |
| dc.description | By studying $ππ$ scattering amplitudes in the large $N_c$ limit, we clarify the $N_c$ dependence of the $S$ matrix pole position. It is demonstrated that analyticity and the $N_c$ counting rule exclude the existence of $S$ matrix poles with ${\cal M}, Γ\sim O(1)$. Especially the properties of $σ$ and $f_0(980)$ with respect to the $1/N_c$ expansion are discussed. We point out that in general tetra-quark resonances do not exist. | |
| dc.description | This paper replaces hep-ph/0412175. The latter is withdrawn | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0502199 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0502199 | |
| dc.identifier | Mod.Phys.Lett.A22:55-64,2007 | |
| dc.identifier | doi:10.1142/S0217732307020713 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177798 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Analyticity and the $N_c$ counting rule of $S$ matrix poles | |
| dc.type | text |