Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory
| dc.creator | Sun, Z. X. | |
| dc.creator | Xiao, L. Y. | |
| dc.creator | Xiao, Z. G. | |
| dc.creator | Zheng, H. Q. | |
| dc.date | 2005-03-19 | |
| dc.date.accessioned | 2026-07-07T10:29:27Z | |
| dc.date.available | 2026-07-07T10:29:27Z | |
| dc.description | We explore the nature of the$σ$ or $f_0(600)$ meson using large $N_c$ technique, assuming that the $σ$ pole dominates low energy physics in the IJ=00 channel. We trace the $N_c$ dependence of the $σ$ pole position using [1,1] Padé approximation of SU(3) chiral amplitude, [1,2] Padé approximation of SU(2) chiral amplitudes, and the PKU parametrization form. We find that in all 3 cases the $σ$ pole moves to the real axis of the complex $s$-plane. Finally we construct a pedagogical example using the SU(2) Padé amplitude to show that when the analyticity property of the scattering amplitude is violated, it is possible that the $σ$ pole resides on the complex $s$ plane when $N_c$ is large. | |
| dc.description | Talk presented at Conference on Non-Perturbative Quantum Field Theory: Lattice and Beyond, Guangzhou, China, Dec.16--18, 2004 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0503195 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0503195 | |
| dc.identifier | Mod.Phys.Lett.A22:711-718,2007 | |
| dc.identifier | doi:10.1142/S0217732307023304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177806 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory | |
| dc.type | text |