Abstract
We explore the nature of the σ or f0(600) meson using large Nc technique, assuming that the σ pole dominates low energy physics in the IJ =00 channel. We trace the Nc 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 Nc is large.
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