Experimental status of the $ππ$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length

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dc.creatorYndurain, F. J.
dc.creatorGarcia-Martin, R.
dc.creatorPelaez, J. R.
dc.date2007-01-04
dc.date2007-07-26
dc.date.accessioned2026-07-07T11:02:32Z
dc.date.available2026-07-07T11:02:32Z
dc.descriptionThe experimental results obtained in the last few years on kaon decays (K$\to2π$ and, above all, Ke4 decays) allow a reliable, model independent determination of low energy $ππ$ scattering in the S0 wave. Using them and, eventually, other sets of data, it is possible to give a precise parametrization of the S0 wave as well as to find the scattering length and effective range parameter. One can also perform an extrapolation to the pole of the "$σ$ resonance" [$f_0(600)$]. We obtain the results $$a_0^{(0)}=0.233\pm0.013 M^{-1}_π,\quad b_0^{(0)}=0.285\pm0.012 M^{-3}_π$$ and, for the $σ$ pole, $$M_σ=484\pm17 \mev,\quad\gammav_σ/2= 255\pm10 {\rm MeV}.$$
dc.descriptionPlain TeX;4 figures; improved data used; version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0701025
dc.identifierhttp://arxiv.org/abs/hep-ph/0701025
dc.identifierPhys.Rev.D76:074034,2007
dc.identifierdoi:10.1103/PhysRevD.76.074034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188278
dc.subjectHigh Energy Physics - Phenomenology
dc.titleExperimental status of the $ππ$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
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