Propagators of resonances and rescatterings of the decay products
A.V. Anisovich, V.V. Anisovich, M.A. Matveev, A.V. Sarantsev, A.N., Semenova, J. Nyiri
TL;DR
This paper develops resonance propagators using dispersion relations that incorporate decay process properties, enabling the description of complex multi-component systems including quark and hadronic decay components.
Contribution
It introduces a novel approach to constructing resonance propagators that account for decay processes and multi-component systems with quark and hadronic elements.
Findings
Resonance propagators effectively describe multi-component systems.
The method applies to meson and baryon states with various spins.
Decay processes modify resonance poles through hadronic components.
Abstract
Hadronic resonance propagators which take into account the analytical properties of decay processes are built in terms of the dispersion relation technique. Such propagators can describe multi-component systems, for example, those when quark degrees of freedom create a resonance state, and decay products correct the corresponding pole by adding hadronic deuteron-like components. Meson and baryon states are considered, examples of particles with different spins are presented.
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