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

Abstract

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.