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- Title
MODEL DEPENDENT ANALYSES ON THE N<sub>c</sub> DEPENDENCE OF THE σ POLE TRAJECTORY.
- Authors
SUN, Z. X.; XIAO, L. Y.; XIAO, Z. G.; ZHENG, H. Q.
- 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.
- Subjects
MESONS; PHYSICS; CHIRALITY of nuclear particles; SCATTERING amplitude (Physics); DATA analysis
- Publication
Modern Physics Letters A, 2007, Vol 22, Issue 7-10, p711
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732307023304