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Pion Resonances

1962; American Institute of Physics; Volume: 128; Issue: 2 Linguagem: Inglês

10.1103/physrev.128.849

1536-6065

Fredrik Zachariasen, Charles Zemach,

Superconducting Materials and Applications

A self-consistent calculation of some features of the low-energy pion resonances is performed by a "boot-strap" method which preserves unitarity and the analytic properties of scattering amplitudes and satisfies crossing symmetry approximately. The interaction of two-pion states with pion-omega meson states is decisive for the properties of the $\ensuremath{\rho}$ meson. Values of the $\ensuremath{\rho}$-meson mass and width and the $\ensuremath{\omega}$-meson width are obtained in terms of the pion and $\ensuremath{\omega}$-meson masses and are in fair agreement with experiment.