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arxiv: hep-ph/0101247 · v3 · submitted 2001-01-22 · ✦ hep-ph · astro-ph· cond-mat.mtrl-sci· nucl-th· quant-ph

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The pionic width of the ω(782) meson within a well-defined, unitary quantum field theory of (anti-)particles and (anti-)holes

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classification ✦ hep-ph astro-phcond-mat.mtrl-scinucl-thquant-ph
keywords anti-fieldmesonomegauermwidthholesparticles
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We investigate the indirect generation of the partial width of the $\omega(782)$ meson with respect to the reaction $\omega(782) \to \rho(770) \pi \to\pi^+\pi^-\pi^0$ within the context of a ``Unitary Effective Resonance Model'' (UERM), which has previously been applied to resonant fermionic field operators, here extended to scalar, pseudoscalar and vector bosonic fields. The $\omega(782)$ meson is described by a (quasi-)real field, while the intermediate $\rho(770)$ meson is considered to be a resonant degree of freedom, which can be treated consistently within the UERM. In the limit of an infinitesimal width (imaginary part of self-energy), the UERM yields a consistent treatment of relativistic quantum field theory (QFT). Some aspects of the UERM of (anti-)particles and (anti-)holes are discussed.

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