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

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

2004-06-24

arxiv.org/abs/hep-ph/0406271v3

JHEP0502:043,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

Minor corrections made and references added. Final version accepted for publication as JHEP02(2005)043

Scientific paper

10.1088/1126-6708/2005/02/043

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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