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The pole structure of the unitary, crossing symmetric low energy $\pi\pi$ scattering amplitudes

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arxiv hep-ph/0406271 v3 pith:PZ5OOYXY submitted 2004-06-24 hep-ph

Z. Y. Zhou , G. Y. Qin , P. Zhang , Z. G. Xiao , H. Q. Zheng , N. Wu This is my paper · ORCID
classification hep-ph
keywords poleenergysigmaamplitudescrossingfoundscatteringstructure
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The pole structure of the low energy $\pi\pi$ scattering amplitudes is studied using a proper chiral unitarization method combined with crossing symmetry and the low energy phase shift data. It is found that the $\sigma$ pole position is at $M_\sigma=470\pm 50MeV$, $\Gamma_\sigma=570\pm 50MeV$. The existence of the virtual state pole in the IJ=20 channel is reconfirmed. Various threshold parameters are estimated and are found in general in good agreement with the results obtained from the Roy equation analyses.

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Cited by 5 Pith papers

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    Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.

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