2018 Impact factor 2.481
Hadrons and Nuclei
Eur. Phys. J. A 1, 337-346

$\pi\pi$ scattering and the meson resonance spectrum

W.M. Kloet1 - B. Loiseau2,3

1 Department of Physics and Astronomy, Rutgers University, PO Box 849, Piscataway, New Jersey 08855-0849, USA
2 Division de Physique Théorique$^{\star}$, Institut de Physique Nucléaire, F-91406, Orsay CEDEX
3 LPTPE, Université P. & M. Curie, 4 Place Jussieu, F-75252, Paris CEDEX 05, France

Received: 19 November 1997 Communicated by W. Weise

Abstract
A $\pi\pi$, $\bar{K}K$, and $\rho \rho$($\omega \omega$)fully coupled channel model is used to predict the lowest isospin S, P, D, F-wave phase shifts and inelasticities for elastic $\pi\pi$ scattering from threshold to 2.0 GeV. As input the S-matrix is required to exhibit poles corresponding to the meson resonance table of the Particle Data Group. As expected, the $\pi\pi$ inelasticity is very strongly related to the opening of the $\bar{K}K$ channel near 1 GeV, and the opening of $\rho \rho$(4$\pi$) and $\omega \omega$(6$\pi$) channels in the 1.5 GeV region. The predictions of this model are compared to the various elastic $\pi \pi \rightarrow \pi \pi$ amplitudes, that were obtained from analyses of $\pi^-$ p $\rightarrow$ $\pi^- \pi^+$ n data. The role of the various resonances, in particular the glueball candidate f0(1500) and the fJ(1710) is investigated.

PACS
13.75.Lb Meson-meson interactions - 14.40.-n Mesons - 13.25.-k Hadronic decays of mesons - 12.39.Pn Potential models


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