Reaction <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>N</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>ω</mml:mi><mml:mi>N</mml:mi></mml:math> in a dynamical coupled-channel approach

A refined investigation on light flavor meson-baryon scatterings is performed using a dynamical coupled-channel approach, the J\"ulich-Bonn model, that respects unitarity and analyticity constraints. The channel space of $\ensuremath{\pi}N$, $\ensuremath{\pi}\mathrm{\ensuremath{\Delta}}$, $\ensuremath{\sigma}N$, $\ensuremath{\rho}N$, $\ensuremath{\eta}N$, $K\mathrm{\ensuremath{\Lambda}}$, $K\mathrm{\ensuremath{\Sigma}}$ extended by adding $\ensuremath{\omega}N$ final state. spectra ${N}^{*}$ $\mathrm{\ensuremath{\Delta}}$ resonances are extracted in terms complex poles scattering amplitudes, based result global fit to worldwide collection data, energy region from $\ensuremath{\pi}N$ threshold center-of-mass $z=2.3\text{ }\text{ }\mathrm{GeV}$. negative value elastic spin-averaged length extracted, questioning existence bound states $\ensuremath{\omega}$ meson nuclear matter.