The pole structure of the unitary, crossing symmetric low energy ππ scattering amplitudes

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Published 7 March 2005 Published under licence by IOP Publishing Ltd
, , Citation Zhi-Yong Zhou et al JHEP02(2005)043 DOI 10.1088/1126-6708/2005/02/043

1126-6708/2005/02/043

Abstract

The pole structure of the low energy ππ 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 σ pole position is at Mσ = 470±50 MeV, Γσ = 570±50 MeV. 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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