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Published October 15, 1962 | public
Journal Article Open

Pion resonances

Abstract

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 ρ meson. Values of the ρ-meson mass and width and the ω-meson width are obtained in terms of the pion and ω-meson masses and are in fair agreement with experiment.

Additional Information

© 1962 by The American Physical Society. Received 16 May 1962. One of us (F.Z.) is indebted to the hospitality of the Lawrence Radiation Laboratory, Berkeley, where a major portion of this work was carried out. This work was supported in part by the Air Force Office of Scientific Research. [F.Z. was an] Alfred P. Sloan Foundation Fellow. [C.Z. was an] Alfred P. Sloan Foundation Fellow.

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Created:
August 21, 2023
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October 16, 2023