Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory

Details Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory

2005-03-19

arxiv.org/abs/hep-ph/0503195v1

Mod.Phys.Lett.A22:711-718,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented at Conference on Non-Perturbative Quantum Field Theory: Lattice and Beyond, Guangzhou, China, Dec.16--18, 2004

Scientific paper

10.1142/S0217732307023304

We explore the nature of the$\sigma$ or $f_0(600)$ meson using large $N_c$ technique, assuming that the $\sigma$ pole dominates low energy physics in the IJ=00 channel. We trace the $N_c$ dependence of the $\sigma$ pole position using [1,1] Pad\'e approximation of SU(3) chiral amplitude, [1,2] Pad\'e approximation of SU(2) chiral amplitudes, and the PKU parametrization form. We find that in all 3 cases the $\sigma$ pole moves to the real axis of the complex $s$-plane. Finally we construct a pedagogical example using the SU(2) Pad\'e amplitude to show that when the analyticity property of the scattering amplitude is violated, it is possible that the $\sigma$ pole resides on the complex $s$ plane when $N_c$ is large.

Affiliated with

Also associated with

No associations

Rating

Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Model dependent analyses on the $N_c$ dependence of the $σ$ pole trajectory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180177