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arXiv · hep-ph/0312187

Regge analysis of pion-pion (and pion-kaon) scattering for energy s^{1/2}>1.4 GeV

J. R. Pelaez·F. J. Yndurain
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Abstract

We perform a detailed Regge analysis of NN, pion-N and pion-pion scattering. From it, we find expressions that represent the pion-pion scattering amplitudes with an accuracy of a few percent, for exchange of isospin zero, and $\sim15%$ for exchange of isospin 1, and this for energies s^{1/2}> 1.4 GeV and for momentum transfers |t|^{1/2}< 0.4 GeV. These Regge formulas are perfectly compatible with the low energy (s^{1/2}< 1.4 GeV) scattering amplitudes deduced from pion-pion phase shift analyses as well as with higher energy (s^{1/2}>1.4 GeV) experimental pion-pion cross sections. They are also compatible with NN and pion-N experimental cross sections using factorization, a property that we check with great precision. This contrasts with results from phase shift analyses of the pion-pion scattering amplitude which bear little resemblance to reality in the region $1.4 1.7 GeV. As a byproduct of our analysis we present also a fit of $NN$, $πN$ and $KN$ cross sections valid from c.m. kinetic energy $E_{\rm kin}\simeq1$ GeV to multi TeV energies.

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J. R. Pelaez, F. J. Yndurain. 2004-02-09. Regge analysis of pion-pion (and pion-kaon) scattering for energy s^{1/2}>1.4 GeV. https://doi.org/10.1103/physrevd.69.114001

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