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Model dependent analyses on the $N_c$ dependence of the $sigma$ pole trajectory | | Z. X. Sun
; L. Y. Xiao
; Z. G. Xiao
; H. Q. Zheng
; | | Date: |
19 Mar 2005 | | Subject: | hep-ph | | Abstract: | 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] 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 $sigma$ 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 $sigma$ pole resides on the complex $s$ plane when $N_c$ is large. | | Source: | arXiv, hep-ph/0503195 | | Services: | Forum | Review | PDF | Favorites | |
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