Publication: Pion-pion scattering amplitude. II. Improved analysis above K̅K threshold
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2006-07
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Amer Physical Soc
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We improve, in the energy region between the K̅K threshold and ~ 1.4 GeV, the energy-dependent phase shift analysis of π π scattering presented in a previous paper. For the S0 wave, we have included more data above the K̅K threshold and we have taken into account systematically the elasticity data on the reaction π π →K̅K. We here made a coupled channel fit. For the D0 wave, we have considered information on low energy parameters, and imposed a better fit to the f_2 resonance. For both waves the expressions we now find are substantially more precise than the previous ones. We also provide slightly improved D2 and P waves, including the estimated inelasticity for the first, and a more flexible parametrization between 1 and 1.42 GeV for the second. The accuracy of our amplitudes is now such that it requires a refinement of the Regge analysis, for^(1/2) ≥ 1.42 GeV, which we also carry out. We show that this more realistic input produces π π scattering amplitudes that satisfy better forward dispersion relations, particularly for π^0 π^0 scattering.
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©2006 The American Physical Society.
The work of F. J. Y. was supported in part by the Spanish DGI of the MEC under Contract No. FPA2003-04597. The research of J. R. P. is partially funded by Spanish CICYT Contracts No. FPA2005-02327 and BFM2003-00856, as well as Banco Santander/Complutense Contract No. PR27/ 05-13955-BSCH, and is part of the EU integrated infrastructure initiative HADRONPHYSICS PROJECT, under Contract No. RII3-CT-2004-506078. Finally, R. Kaminski thanks the Complutense University of Madrid for a grant under the Foreign Doctor Visit Program and the Departamento de Física Teórica II, where most of his research was carried out.
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