A global fit of $ππ$ and $πK$ elastic scattering in ChPT with dispersion relations

Details A global fit of $ππ$ and $πK$ elastic scattering in ChPT with dispersion relations A global fit of $ππ$ and $πK$ elastic scattering in ChPT with dispersion relations

1993-01-26

arxiv.org/abs/hep-ph/9301276v1

Phys.Rev. D47 (1993) 4883-4888

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 5 figures available on request, FT/UCM/10/92

Scientific paper

10.1103/PhysRevD.47.4883

We apply the one-loop results of the $SU(3)_L\times SU(3)_R$ ChPT suplemented with the inverse amplitude method to fit the available experimental data on $\pi\pi$ and $\pi K$ scattering. With esentially only three parameters we describe accurately data corresponding to six different channels, namely $(I,J)=(0,0), (2,0), (1,1), (1/2,0), (3/2,0)$ and $(1/2,1)$. In addition we reproduce the first resonances of the $(1,1)$ and $(1/2,1)$ channel with the right mass corresponding to the $\rho$ and the $K^*(892)$ particles.

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